SOLUTION: a2=6 a7=192 q=?

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Question 763358: a2=6
a7=192
q=?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
a2 = 6
a7 = 192
q = ?
I will assume you are studying geometric sequences and your "q"
stands for "quotient" whereas most books use "r" for "ratio".


an = a1q(n-1)

a2 = a1q(2-1) = a1q(1) = a1q = 6

a7 = a1q(7-1) = a1q(6) = a1q6 = 192

a1q6 = 192
a1q = 6

Dividing equals by equals:

%28a%5B1%5Dq%5E6%29%2F%28a%5B1%5Dq%29%22%22=%22%22192%2F6

q5 = 32

q = root%285%2C32%29

q = 2

Edwin