SOLUTION: 16. https://answers.yahoo.com/question/index?qid=20210419170337AAgUKgf

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: 16. https://answers.yahoo.com/question/index?qid=20210419170337AAgUKgf      Log On


   

Question 1179197: 16.
https://answers.yahoo.com/question/index?qid=20210419170337AAgUKgf
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Write a formula for the sequence below then a%5B45%5D
{ -2,+-7%2F4, -3%2F2,+-5%2F4, -1,....}
check if the sequence is arithmetic:
%28-7%2F4%29-%28-2%29=-7%2F4%2B2=-7%2F4%2B8%2F4=1%2F4
%28-3%2F2%29-%28-7%2F4%29=-3%2F2%2B7%2F4=-6%2F4%2B7%2F4=1%2F4=>d=1%2F4
differences are same, so the sequence is arithmetic
your formula is:
a%5Bn%5D=-2%2B%281%2F4%29%28n-1%29
find a%5B45%5D
a%5B45%5D=-2%2B%281%2F4%29%2845-1%29
a%5B45%5D=-2%2B%281%2F4%29%2844%29...simplify
a%5B45%5D=-2%2B11
a%5B45%5D=9