SOLUTION: The fourth term of a G.P. is 48 and the seventh term is 384.Find the common ratio and hence calculate the sum of the first six terms.

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Question 1121366: The fourth term of a G.P. is 48 and the seventh term is 384.Find the common ratio and hence calculate the sum of the first six terms.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
system%2848%2C+48%2Ar%2C+48%2Ar%5E2%2C+384%29

48%2Ar%5E3=384
r%5E3=384%2F48
r=2
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First six terms:
6, 12, 24, 48, 96, 192

There is a formula for their sum if you want.
sum: 378

Answer by MathTherapy(10553) About Me  (Show Source):
You can put this solution on YOUR website!

The fourth term of a G.P. is 48 and the seventh term is 384.Find the common ratio and hence calculate the sum of the first six terms.
sum: 478
The above answer by the other person is WRONG!