Arithmetic Progression | Problem Solving | Part 2 | Class 10 Maths | CBSE 2027 Shimon Sir

[00:00:06]Hello hello hello hello.

[00:00:10]My dear assault patch, what's up, kids? Are you all ready? Are you excited? So we were looking at problem solving in our arithmetic progression.

[00:00:26]This is a continuation of that, so if you're ready, come and solve it. Let's solve some fantastic costs, that is, the most expected costs that can come up in your school exams, board exams, and so on.

[00:00:39]We are going to solve them now. Everyone, don't forget to take your girl notebook.

[00:00:45]Why don't you save along with me? It's enough for me to solve it, you too, try it with me. Iwatu Iwatu guys, are you all ready to solve it? So guys, this chapter is not as deep as you think. Because this chapter is all about the three formulas. Those three formulas are clear, you know how to apply it, you are the legend, you are the expert, okay, so are you ready to start? So this session is AP Arithmetic Progression Problem Solving Session for our 10th Standard CBSE students i.e. our assault batch and you all are watching Vedanthu Master. This is a channel created for Tamil kids.

[00:01:36]This channel will be helpful for your preparation. If you think Port Exam is useful, don't forget to subscribe. Because this is not just for 10th, 11th and 12th we will also study together. Okay. And if you're already subscribed, hit the like button. Now let's get into our session. Hey guys, have you all solved my secret assignment? We've started our 30-day challenge. I hope all of you are aware. The 30-day challenge just started yesterday. Yesterday was day one, today is day two. So every morning at 5:00 AM, we all have to do it. I'll do it myself and take a class for you. I will share the assignment in our Daily Morning Vedanthu Master Telegram group. All those assignments are of extremely high quality and there is a chance that they will even get credit for the port exam. Why is competency-based costs now given 50% weightage? So you have to be prepared for that.

[00:02:37]I hope you guys are doing it. Please take it seriously, kids, you don't know the effects of it now. But the horror movie will take you to another level. So, you can finish what you did for Anna with a small effort.

[00:02:52]That's why I only give ten questions as an assignment.

[00:02:56]Solve it properly. Okay, so now let's get started.

[00:03:01]Akshit is very very happy that is so good to hear this man. I am very happy keep it up and keep improving okay so let's start now let's get started kids let's get in to the session so first question everyone come and try it with me anyway try it out this is the first question this is a question from the board exam this is a question from the board exam when is the 2023 board exam cost so let's get started anyway solve it along with me ok fantastic so rogan has taken total loan rogan has come and taken a loan loan so he has taken a loan how much is the total it is 8000 pieces that is the loan amount okay how does he repay it how does he repay it do you understand monthly payments so he has taken a loan he has taken a loan and is taking a loan So the first month's base is 1000 pieces, so the first month he pays 1000 rupees. The second month is the interest on the installment. If the installment is paid monthly, You must have heard of EMI. EMI is a loan that is paid in monthly installments. So he increases the installment by 1%, then the second month he pays 100 and the third month he pays 1200. It's like that. Now what is he asking? What is the amount of money he will pay in the 30th installment, that is, the first month is 1000, the second month is 100, the third month is 1200, and so on.

[00:04:55]How much will he pay in the 30th month? So he is asking, "Do you understand?" "Do you understand this clearly?" "Do you understand this clearly?" "I hope you are happy." "Do you understand this cost?" " Because many people are doing this, that is why they are giving that story in English, not many people can improve it, so that is why you should practice a lot." "I am happy." " There are many books like this like RT Sharma Challenge 100 NCERT," "Use all this and solve it," " You can see that your level will rise," "That is why you are doing this."

[00:05:32]You have to put in the effort because once you can see yourself growing, you will start working happily. So now you are putting it off, procrastinating, laziness, slacking, peeling, all that will break.

[00:05:51]This is a good secret, guys.

[00:05:54]Those toppers who do this will know. Try it and see what I am saying. It is a small suggestion. Work little by little until you feel that your level is changing. I say you have to solve a problem because the mom you see you are getting worse and worse.

[00:06:18]You are getting worse and worse.

[00:06:21]This is how you solve a problem. If you go to the gym, you first go, then you go for a day, then you don't go for another day, then you leave it like that. Your body will remain the same as it was before. But if you go to the gym regularly for a month and your abs are light and your muscles are light, what will you do? When you look in the mirror, you will take off your shirt and twist your arms and do plexes. It is so sexy because you get addicted and then you become a gym freak. The same goes for all the studies, boys. You grow in it. It will be a little difficult until you see that growth.

[00:07:04]After seeing the blossoming, you will feel very excited to go forward.

[00:07:07]Okay, so please do that, boys and girls, now let's get started. A30. So what is this formula? Let's do it step by step. What is a30? A30 is a general term. The general term a is ap an formula an= a1+n-1*d Okay, so we need a30. Then n becomes 30 so that= a1+ 30-1* d Correct a1 is a1 then first term. a1 then first term + 30-1 29*d d is the common difference.

[00:07:45]How do you find the common difference for AP?

[00:07:49]How do you find the common difference for AP? Take any two consecutive terms.

[00:07:55]Take any two consecutive terms, the back minus the front, that's the common difference. Take any two consecutive terms, the back minus the front, and that's our common difference. So common difference= 100 My dear boys and girls are you all clear So common difference 100 put it here answer it is 1000+ 2900 ok 1000+2900 what will that be 3900 kids this is my A 30 so the EMI he made in the 30th month he made the installment in the 30th month 3900 who said first ranker tamilan super you are correct no very good no you are awesome very very good job guys so everyone who said 3900 is correct Chris Evans very good Chris Crafts World Shreya Jaswant Pakada everyone is confused now let's go forward so now I have finished this question what amount hi Pay in 30th installment? So, I have two questions. He has paid the 30th installment, and besides that, how much loan has been paid in total? They are asking how much money he paid in total. So can I do that now? If it is the total amount he paid, then they are asking if it is s30?

[00:09:21]He's asking for S30, right? Why is he asking?

[00:09:25]He's been building up his monthly salary for 30 months, Rohan. So after 30 months, how much did he make in total? So that's s30 because it's the sum of the money he made in the first 30 months.

[00:09:40]S30 is the sum of the first 30, why is it sn?

[00:09:45]I gave you a lot of warning and emphasized it to you. What is s30? First 30 terms. Always remember that. If sn is the sum of the first n terms, don't forget that, please. Okay, sn is the sum of the first n terms, so s30 is the total sum of the money he paid for the first 30 months. That's the total he paid.

[00:10:11]Sothat=whatthat =n/2 first term + last term sofirst term + last term how much is 1000+ 3900 this is the answer is very easy so 15 e4900 that is the answer so s30=15 e4900 so how does it come and how does it come if you see it coming and how does it come it is 73500 so this is how he built it so Rogan's total loan repayment is 73500 do you agree who said 73500 you all are absolutely right my dear boys and girls move forward okay so far good so far is there any clarity so let's move forward my dear boys and girls buy it let's go to the next question Sreejith is super C Kumar very good Mitra is absolutely right, very very good.

[00:11:13]Shivan Ashok Kumar Absolutely right, good job. Let's all go back and buy the correct one, kids. Will you all come tomorrow morning for Day 3?

[00:11:24]Tomorrow morning is Day Three. What are you going to teach on Day Three, sir? I'm going to teach you trigonometry first lecture.

[00:11:32]How? Happi Assault Patch. 10th standard our assault batch will have class tomorrow morning at 6 am that is day 3 of 30 day challenge so tomorrow we will solve trigonometry lecture ok perfect so now solve this question the first term of an ap is 5 and the last term is 45 sum gave very easy question ok so sum given what sn sn came 400 sn formula what is the first term know last term know then sn came n/2 first term b last term does everyone know this formula everyone knows this formula i hope you guys are aware so sn formula can be written like this too guys so n is the only one i want to find because he asked what is the number of terms so i want to find the number of terms Pannanum So I do n't know the number of terms. The first term comes in 5 a. The first term is l. The last term comes in 45. So that's it = 400. Then what will happen to the children? If these 2 go there, n = 400. E2/ 50 children, then 5+45 will go to 50. That 50 will go down. So 50 400 divide 8 times 8*2 16 so this is the answer number of terms 16 Karthikeyan super Akshit very good crafts world absolutely right everyone is correct than Thanesh perfect okay so all of you are absolutely right answer is 16 but there is another question don't forget it by number of terms he did it but he asked another question all these are board exam cost kids that's why I have mentioned this all these are board exam cost guys shwadan ityaar asam right now you are brilliant keep it up let this be a motivation for you okay so now can we find common difference common How do you do the difference sir, he gave the last term, is the last term the 16th term? Is it the same as the total of 16 terms? So 16 terms are 45 and the first term is 5? Are you all clear? The first term is 5.

[00:14:04]Which term is n? So then a6 is the last term. So now how can we write a16? a16= a1+ 16-1. So a16 45= 5+ 15d. So then d= = 45-5 45-5 40/ 15. So the answer is 8/3. If you cancel the 5 tables, then 8/3 is our common difference. If you said 8/3, you are perfectly correct. Kumar Sudhan Animix You are absolutely right Good job Puppy Shreya Crafts World Karthikeyan Pakada Everyone is right Keep it up Boys and Girls Fantastic Job Proceed Occasional Move Forward Does everyone understand this to some extent? This is the same as the three-formula, don't get used to it, be comfortable with it, there shouldn't be any struggles. Okay, let 's move on to our next question, guys. There are a lot of questions like this. Let's finish them all. Just remember Maths well. The more you practice, the more confident you will be. Okay, the more you practice, the better you will be. Okay, guys.

[00:15:23]I will tell you a method at a different level.

[00:15:28]Okay, I will tell you two methods. Are you excited? Okay, so I will teach you how to solve this by two methods. Who is excited? Who is ready? Let's solve it. You first tell me what method you know. I am going to tell you two other methods like Ultra Legendary Promax. Okay, so Ihope you are all ready. Let's go for it boys and girls. Okay, so the best method is very easy, very logical and tricky. Can you tell me a method that makes it tricky? Come on, let's get started guys. He gave me 3sc+4 okay, this is it. Okay, what am I going to do? Hey, I'm going to put n and 1 in.

[00:16:23]What will happen if I put n and 1 in?

[00:16:27]3*1^2+4*1 is 3+4 = 7. What does this mean? What does this mean? sn is the sum of the first n terms. s1 is the sum of one term. Sum of one term.

[00:16:47]Only the first term is found. Then this came up and found only the first term.

[00:16:54]Another level, how did you all like it? Nice did you understand it?

[00:17:00]How many of you got it? Let me know guys. How many of you got it? Please let me know.

[00:17:06]Everyone, put one fire and one AT square on the table. Then we will go ahead. You are clear. If you understand this so far, very good.

[00:17:16]First rank Tamil. What is the problem? Please tell me. I will help you. If you understand this, please, what am I going to do?

[00:17:26]Next, I will go find S2.

[00:17:29]What is s2? This is s2.

[00:17:33]I put 2 where n should be. So, wherever n comes, put 2 there.

[00:17:37]Wherever n appears, put 2 there.

[00:17:39]Wherever n appears, add 2 and what comes out is 12+8 and it comes out to be 20. Okeva 12+8 will be 20. Now, I'll repeat what s2 is. sn na sum of bust n terms. s2 is the sum of the best 2 terms, the sum of the best 2 terms, it is a1+a2, is it a different level, this is the ultra legendary, is this the ultra legendary step, do you understand s2 is the sum of the best terms, a1+a2, so this sum of the best terms is 20, so a1+a2= 20, guys, what is our a1, a1 is 7, so 7+a2 = 20, then what is a2? a2 20-7 which is 13 points, so a2 is found.

[00:18:32]Now if you find a1 a2, it's like you know everything. Everything seems to be known. Are you able to do it or did you like it everybody please let me know. Boys and girls, happy birthday, answer is not a big matter, answer is not for you, you can tell me once you understand, no one can stop you. You guys can sky rock but till you understand, be patient, try to grasp the concept. Because for me, what you do here is not important, what you understand here is important, what you understand here is important. You understand the concept. Nothing is out of your school, your assignment, your test, your board exam, okay, always understand the concept, understanding the application, answer, if you make any calculation mistake, you can correct it. But conceptual mistakes are the biggest headache. If there is a problem with that, fixing it will take time. Okay, so I hope all of you are clear now. Can't wait to buy. Now, what did Sumon sir say? A1 knows, A2 knows. What is A1? First term is 7, second term is 13, sir. If you have discovered both of these, it is as if you have discovered the entire EP. What are you jumping about for? If you know both terms, it is as if you have fully understood them.

[00:19:59]How come sir, when this comes, the first two terms are so, are these both consecutive terms or consecutive terms? Then, after-before, will give you common transits so the common difference is what three consecutive terms are, after-before=what 13-7 is 6, do you understand? So, if the common difference comes, if the common difference comes, great, now you know the common difference, you know the first term, pay attention, pay attention, if you know the first term and the common difference, you know everything. But if you know the first term and the common difference, you know everything. Okay, now he's asking, sir, but what he's asking is 25 terms, sir. Let's find out. It's very easy. That is the general term formula an= a1+ n-1*d corrected so a1 came and what is 7 + 25-1 why 25 term is called so 25-1 24*d what is 6 so answer is 7+ 144 so 151 is the answer kids who said 151 Akshit Mitra very good Noah Kapilesh very good Ajay Shreya fantastic Joel tomorrow morning Joel tomorrow morning 6 o clock we start trigonometry lecture one first lecture I always teach slowly but it will be easy we will understand we will solve nice question that my met always teach very slowly but we will enjoy we will understand what we learn is correct That's the idea. Got it, everyone, it's clear, it's fun, it's super fun, can you answer the next question, sir?

[00:21:57]You told me another method, sir.

[00:21:59]Can I see that too? Can you watch that too?

[00:22:02]Double double benefit, double profit, double profit.

[00:22:08]Who is excited about that second method? Some people said it in chat. Don't you think lightly of your friends, your children? They are all terrible people. So, there are a lot of legends in our country. That is why every year in our channel we get Tamil Nadu's almost highest score.

[00:22:29]You guys read it, I shared it in the Telegram group. A guy I saw on our channel, now I talk to him. Almost on regular basis, okay, got 497 like you, the guy I saw just now got 497 and the next mark was 96 in the legend, so that's why you said it correctly already, look, so that's my second method, guys, take good notes, guys, what is the second method, my term is ap, give us sn- sn-1, that's it, you have to understand all this, just don't beat me, okay, I will help you understand, will you come and see, who is ready, who is ready to understand this, sir, no problem, sir, let's try to understand it. Noah asks, sir, how did this come about? Come and see, Noah. I will understand, but you have to be patient. You have to listen carefully.

[00:23:28]You are ready to do that.

[00:23:32]Fantastic. Let's go, boys and girls. Let's start. How did this come about? Sir, how did this come about?

[00:23:41]First, I will tell you how to use it and solve this question.

[00:23:45]Okay, so how did this come about? Guys, what is S? Sir, what is S? Is the writing of the best n terms of the AP correct? Tell me, tell me, tell me, that it will register in your mind. So, if you are doing something wrong, you will have an intuition.

[00:24:05]You are doing something wrong.

[00:24:08]That is the intuition. So, when will it come about? When conceptually strong so sn what is the sum of first n terms a1 1+a2+ a3+a4 then an-2+ an-1+ an is this all right everyone is this all right many of you are ok with this please let me know my dear boys and girls want everybody let me know is this correct sn sn some of n terms some best n terms of the ap p now sn-1 what is this? What is sn-1? If C is sn, then add up to n terms. If s is n-1, then add up to the n-1 term. Do you understand that s n-1 is sum of n-1 terms sum of n-1 terms so a1+a2+a3+a4 all up n-1 terms are clear now everyone is clear step by step like this should have good are clear move forward madiyar boys and girls please let me know what is the ch not clear now what am I going to do I subtract I subtract both of them what is left hand side first look left hand side top-bottom so sn- sn-1 so this is left hand side right hand side what is right hand side sir a1-1 cancel a2- -a2 cancel a3-a3 cancel a4- a4 cancel cancel cancel So just who is left an- nothing below so only an will be left so now do you understand how that formula came to be legendary itwas amazing was trying ya are you all clear legendary so this is the driving force of our formula this is how it comes this is how it comes ihope guysslay itihope you guyssr able to follow so now buy this use pan and finish this question can you use this use pan and finish this question can you buy lets pish ita this board exam use pan of gos of gos you do it you kasalva p using this method even in bo exm ascutely fine there is nothing wong h ok so now lett finish it of boys and girls now buy this use pan and finish this question can you buy this formula What is it sir, an n term has arrived, you have given the terms, what term is it, what term is it, so what do we need now, sir, we need 25 terms, that is, do we need a2, so then in this formula, I am going to put 25 instead of n. If you put 25 instead of n in this formula, then you should put 25 here too. Okay, wherever n comes, put 25 there. So 25-1 24 Do you agree? So now if s is 25, then in this formula, we need to replace n with 25.

[00:27:53]Because sn is just sn, this is sn and it comes to 3n^2+4n, so if s25, we have to put 25 in the place of n. We need to put 25 in the place where n comes from. Are you all clear? Similarly, if s is 24, then 24 should be put in the place of n. You have to put 24 in the place where n comes from. Okay, are you all clear, now subtract both of these, what will come up? 3 E 625- 576, okay + 4 E 25-24, so what will come up?

[00:28:31]3*49+4, so 147+4, so 151, that's our a25, correct, if the same answer comes, if the same answer comes, ultra legendary, guys, enjoy it, epic, love it, I hope you guys enjoy it, so the correct answer will come up, so try all this again and see, so take some time, everything is the same the first time, super clarity, diamond clarity, etc. You have to make a little effort.

[00:29:10]I've told you now.

[00:29:11]This video has costs. I have given the assignment. Yesterday morning, I had the first day of assignment 30 days of the challenge from this chapter, so please go and solve it. All that is done, done, done, you get better at it, okay Mahalakshmi, super Mahalakshmi. Girish Arulmani is the one who is the doubt please let me know I will try to get out okay. So, let's go back. So I have given two methods. I hope you guys like it ultra legendary cost now with that said let's go to the next question guys this is all very very good question was also asked in 2024 board exam cost pathia a lot of board exam cost I will discuss with you all so that you guys get comfortable okay by September our portion will be completed and from October November we can get down full full problem solving than we will solve solve solve get comfortable little bit of cost let's go because we can't tell how the exam will come okay Krish why he asked 25 term Krish that's why I came and substituted 25 do you understand so he asked in his question 25 Term Krish, that's why I did it that way. I think you understand now.

[00:30:36]Okay, let's buy this, let's make it our own.

[00:30:39]What did you say, very nice cost? There are 40 terms in total in AP. There are 40 terms in total. The sum of the first nine terms is 153 s9= 153.

[00:30:54]Okay, then the last 6 terms are 6 terms, and the sum is 687 sos. The sum of the last 6 sos is 6 sos. I have already told you this. How to do sum of last 6 How to write Think Think you call a is the first term a is the first term So guys come and solve it Shalvi all banisha it off So this is s9 is very easy because s9 comes n/2 e2 times first term b n -1* d Do you agree with this Do you agree with this This is very straight forward There is nothing wrong with this There is nothing wrong with this It is very straight forward equation s9 So now let's cancel 9 1 times 7 times okay So 2a+8d/2=7 So a+4d=7 So this is it Guys I have one equation So there is one equation Now I have to come up with another equation from this. We need to come up with another equation from this.

[00:32:12]Can you see how it is? Guys, there are two ways to solve this. There are two ways to solve this. Do you remember? I told you yesterday morning, please don't forget, because this last six is ​​a bit difficult question for 10th standard. So if you give this sum of last six to the tenth graders, they'll usually have some trouble. Why is it not straight forward correct? Very honest okay so let's try to understand okay really Pranav is super Pranav Pranesh is very good Pranesh I am a member of Kalayari so guys Shalvi do this in both methods and make a comic It takes a little time but if it is not too much then let's do it in both methods and see Fantastic so let's try to do this so can you put it together Don't forget this so I will erase it and put it together only. Do we need this? We need this to make our salve. Because what he asked, what he asked, brother, is to find the first term and then the common difference, so what he asked, I have to find both. So you can't make an equation. I need one more equation.

[00:33:26]That's what this is for. Come on, let's mix it up.

[00:33:31]Finish it off, boys and girls. Let's go.

[00:33:35]So now how can I make the last 6x terms?

[00:33:37]I can't write s40- s34. It's 687. How many of you can't understand this?

[00:33:49]Why is it s40? What's wrong with all the 40 terms? He asked me in the question, "Do we have 40 terms in our AP?"

[00:34:01]He asked, " Brother, there are 40 terms in our APL, so if you add up all the terms, it will be s4 s4.

[00:34:17]What do I do with all the 40 terms? I will subtract the sum of 34 terms from the total sum. If I subtract the first 34 terms from the total sum, then what is left is 35 terms, 36 terms, 38 terms, 39 terms, 40 terms. Sir, the last 6 terms are left. Sir, I have heard that the sum of all the terms is 687. I don't understand it at any other level.

[00:34:51]You all need to get used to it.

[00:34:54]This is a method. This is a method.

[00:35:00]Okay, so how do I solve it?

[00:35:03]s40. 40/2 2 times first term + n-1 40-1d- n/2 34/2 e2a+ n-1 34-1 33d= 687 So this is a method so now you will get ad from this.

[00:35:29]You will get an ad from this. Sodaequation 2 one solve it get the answer ok or you all clear sr you all to follow day boys don't get distracted chat tell me understand I'm trying to hey so that you guys ka antha kostins why your school is starting to ask now like this your school is starting to ask now our exams so please get comfortable guys is it ok so can i solve it now this came came came 20 times this came 17 times so 20 2a 40a-34a that's 6a + 20*39 780d- 1733 times what is 17*33 17*33 what is can you guys help me out here so it is 12 231 033 So 561u I think correct So 561 So -561d= 687 So subtract both of these What will come 6a+ 6a+ 780- 560 219 Corrected 219d= 687 Can we cancel the table now? Can we cancel 3 tables? Can we cancel 3 tables?

[00:36:55]2a+ 73d = 1 No 2 229 Correct 229 Ya So now I have an equation 2 times and an equation two times and an unsolved it Cut the answer So here 2a+8d is 2a+8d 34 So 2a+ 8d= 34 So now you get the answer Well, you get the answer So subtract both of these What do you get, Panna? Subtract both and get what you want. Elimination method.

[00:37:35]Subtract both and 2a 2a will cancel. 78 - 8d 65d= 229 -34 So 5 22-3 19 So d=what d= 195/65 That's 3 kids So d found 3 d found then a if a+4 d=17 then a if a=17-12 a=5 kids So a found found question over are you all clear a found found question over you able to follow everybody please let me know madiyar boys and girls did you all like it very good Shreya very good Nithya Jyoti Mari very good brilliant job guys is a good costin joel what do you do Joel your dout tell me will try tohe out let me know wire struggling Okay, are you all clear tomorrow, Pranav session tomorrow morning at 6:00, Trigonometry session today too, will there be a session today too, follow me, follow the channel regularly, Bikas, your quarterly exam is coming up, I want to help you for that, why is your school athlete trying to improve by 20-30 marks? Okay, I will help you for that, quarterly exam will start their revision now, it will help you, very good, so, guys, are you all clear? Are you all happy, it's such a good cost, guys, I will just do some calculations quickly, you just have to do it patiently, okay, it's not too much cost. For me, this is the only junction in this question. This is the only junction, which junction is this one? This is the only thing that doesn't strike many people. So that's what I'm shouting. That's what I'm shouting. Everything is easy after this. If you understand this, don't worry, it wo n't be too tense. It's enough if you understand this. This is the golden step in this question. If you understand this, then what you do after this is just calculation, anyone can do it, be patient, subtract, correct, collect everything and solve it, okay, move forward, you guys are clear, very good, super, now sir, you told me another way to calculate the last six terms, sir, what is the way, I will tell you that only and move on to the next question, if you are in doubt, watch the replay, okay, if you are in doubt, watch the replay, go back, slow down, step by step, and you are all lucky, you are the luckiest batch, sir, why are you just complaining, sir, no, two things are the same, you are the last batch in this syllabus and trust me, this syllabus is easy, if you say so, I will get angry. That's true, I've been teaching for seven or eight years, my dear Bhagwaha. Okay, that's the first advantage, the second advantage, you guys, you're a genius I'm going to bed now. What are you doing?

[00:41:06]Take a screenshot of this and mark it.

[00:41:08]How did this come about from this step?

[00:41:09]You can use the free version of the app. I have to ask the teacher when I am there. Sometimes the teachers will answer them depending on their mood. Sometimes they will leave it for a while. It will be embarrassing in the class.

[00:41:27]But you don't have that issue like that, so use it to your advantage. Okay, Vedanta also has our Ignite patch. The students who study in our Ignite patch know that when Ignite patch comes, there is a small patch for 10th in Vedanta, and I teach there.

[00:41:46]So, I think a lot of students are in that patch.

[00:41:48]You know that. So, you can use that too. Do you understand? So now let's finish the last six terms.

[00:41:53]Shimon sir said that there is some other way for some of the last six terms. Okay, let's try some other alternate route. Do you know what route it is, guys? I'll tell you. Pay close attention. Okay, so what am I going to do, guys? What is our AP? Our AP is A1, A2, A3, always up to A39, A40.

[00:42:18]Does it match? Is this the same as ours, given AP? This is our given AP.

[00:42:24]So now we can find this AP by directly clicking on it? Can Directa find this? No chance, Raja, because all you need is the sum of the last 6x. So you can't just stick to one formula. Why? Because of the SN formula we studied. The SN formula we studied is not the same as this formula, you have also studied it. So this comes from the sum of first n terms, the sum of first n terms, so you can't do it directly. So I'm wondering what to do, how to do this directly, should I find a way, should I do something?

[00:43:05]Then I get an idea. Why shouldn't we return this AP? So, as Shimon Sir said, if you reverse the AP, the common difference without reversing the AP will become the negative of the original. The AP reverse common difference will become the negative of the original. So this is the AP that was returned. This is the AP that was returned. Why are you returning it, sir? Because here we can find the last 6x term sum directly. Here we can find the last 6x term, last 6x term sum direct. So s is what 6/2 put 2 dos a40 why 2a 2a na first term. So 2 times the first term is a40 + n-1 and the common difference is the common difference is -d.

[00:44:04]So this is 687. Another level. Super. Did you all do it? It was epic. It was ultra legendary. This is another method. So this is also perfectly correct. You can do this too. Okay, you can do this too. I hope you guys like it, it was beautiful. Okay, so now it's very easy to solve, guys. I hope you are all able to follow.

[00:44:31]Now, how do you solve it? Make it comical. So what do you do?

[00:44:36]6 and 2 are canceled 3 times, and 3 and this are canceled 229 times.

[00:44:44]Can we see what's inside?

[00:44:46]What is there in So? What is there in So? You have 2a40 a40 what is a40 come and it is a1+39d does it agree?

[00:44:58]-5d Pasangaladhat= 229 Super how sir why 6-1 5 e-d that -5d a40 40 40th term is first term + 39d Okay I hope you are ready to get it sir should I put d-d here no no why 40th term I am writing first term so first term +39d that is 40th term there is no combination there is no combination so now if I simplify 2a+ 2 e39 78d-5= 229 so 2a+ 73d = 229 so does it come up? Did you come to us and get the same expression? You like it same we got previous method also so both methods will give the same answer. I hope you like it it was epic did you all enjoy it it was great it was good question all these board exam sometimes come to pass yahva to parade for it ok so now this is the second equation first equation I have already found. The first equation comes and goes. 2a+8d= 34 So this is the first equation So these two equations you will get a= 5 d=3 So after knowing aad of all the terms is we know so sum all the terms is 40 terms so sum 40 terms= 40/2 e 2a + n-1 40-1 e d So that is the answer so b 20 e 10+ 147 So it is 157a No no 39*3 So 117 39*3 117 So 127*2040 Correct? Please check if 2540 is correct. That is the right answer to this question. Clear, enjoy this. So try this question again I want you guys to try it out and guys I have a class today too tomorrow morning at 6:00 o clock we have class in the morning why is the 30 day challenge gone those who don't know about it please watch that video 30 days challenge has come on our YouTube whole Tamil Nadu guys we all do it together 30 days daily morning class except Sundays except Sundays in the morning there will be class at 6:00 it will be fine today morning 400 people came I felt so happy that guys are the earth so i want everybody to there tomorrow we will break all the records because tomorrow morning we will start trigonometry guys okay so this chapter I want you to If you have any doubts about the complete problem solving, tell me in the comments. Your friends will help you.

[00:48:11]And with that we will wind up today's class. It's already time. I will see you tomorrow morning again. Okay, so all the very best. Work hard boys and girls. Don't give up. And at 7:00 I will talk about the Ignite patch. Anyone who is interested can come and buy the Ignite patch and join Vedantula's online course where I am also teaching and we will cover all the subjects. Along with assignment and test subjective test so it's a proper plea batch we will finish the portion in September October ok so by the end of October we will finish the portion in that batch there is also Tamil and social English so I will talk about that I will talk about it thank you so much take care all the very best guys