SOLUTION: Solve the problem. The 2nd term of a geometric sequence is 6, and the 5th term is 162. Find the 7th term.

Algebra ->  Sequences-and-series -> SOLUTION: Solve the problem. The 2nd term of a geometric sequence is 6, and the 5th term is 162. Find the 7th term.      Log On


   

Question 1184896: Solve the problem.

The 2nd term of a geometric sequence is 6, and the 5th term is 162. Find the 7th term.
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
If a is first term, and ar is second term, then fifth term would be ar^4.
system%28ar=6%2Car%5E4=162%29
%28ar%5E4%29%2Far=162%2F6
r%5E3=27
highlight_green%28r=3%29

The fifth term was a%2A3%5E4=162;
but all you need to find the term at index 7 is this:
162%2A3%2A3
highlight%281458%29