SOLUTION: The seventh term of the GP 16/9,-8/3,4 is

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Question 1127758: The seventh term of the GP 16/9,-8/3,4 is
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
The seventh term of the GP
a%5B1%5D=16%2F9
a%5B2%5D=-8%2F3
a%5B3%5D=4+
find common ratio:

r=a%5B2%5D%2Fa%5B1%5D

r=%28-8%2F3%29%2F%2816%2F9%29

r=%28-3%2F2%29


a%5Bn%5D=a%5B1%5D%2Ar%5E%28n-1%29

a%5Bn%5D=%2816%2F9%29%2A%28-3%2F2%29%5E%28n-1%29

if you need the seventh term, means n=7
a%5B7%5D=%2816%2F9%29%2A%28-3%2F2%29%5E%287-1%29
a%5B7%5D=%2816%2F9%29%2A%28-3%2F2%29%5E6
a%5B7%5D=81%2F4