SOLUTION: 16, 25,34,43,... find a11

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Question 1180720: 16, 25,34,43,...
find a11
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52784) About Me  (Show Source):
You can put this solution on YOUR website!
.

About these "predictions", see remarkable post

https://www.algebra.com/algebra/homework/Sequences-and-series/Sequences-and-series.faq.question.1180708.html

https://www.algebra.com/algebra/homework/Sequences-and-series/Sequences-and-series.faq.question.1180708.html



Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

16, 25,34,43
as you can see, common difference is d=9
so, nth term formula is:
a%5Bn%5D=a%5B1%5D%2Bd%28n-1%29... substitute a%5B1%5D and d
a%5Bn%5D=16%2B9%28n-1%29
a%5Bn%5D=16%2B9n-9
a%5Bn%5D=9n%2B7
to find 5th substitute 5 for n
a%5B5%5D=9%2A5%2B7
a%5B5%5D=52
and so on