To find any term in an arithmetic sequence, use the formula: nth term = (common difference × n) + starting term. For the sequence -2, 3, 8, 13, the common difference is 5 and the starting term is -2, so the formula is 5n - 7. Plugging in n = 14 gives 5(14) - 7 = 70 - 7 = 63, which is the 14th term.
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What is the 14th term in the sequence? #mathwithtiffany #supereasymath #einsteinactivity #sequenceHinzugefügt:
Hey guys, it's Tiffany. Today's Einstein activity says, "What is the 14th number in this sequence?" We have -2, 3, 8, and 13. [music] Well, when you play around with the numbers, you can see that they have a difference of five starting at [music] -2. So, if you play around with the rule, you can see that 5x - 7 will always give us the correct answer in the sequence, and the X represents the number in the term. For example, the number three is the second term [music] in the sequence, and when we plug in two for the X value, we get an answer of three. We can follow this pattern for [music] every number in this sequence.
So, when we get to 14, instead of skip counting by five all along, we can plug in 14 [music] for that X value and get an answer of 63.
Don't forget [music] to like this video and subscribe, and as always, here's tomorrow's Einstein activity.
See if you can solve it before I do, then comment with your answer. And [music] if you found yourself struggling with this problem, head over to my website where you can get a live math tutor who can help [music] you with all of your math needs.
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