SOLUTION: (a)find the first term of the geometric progression with r=5 in the sum of the first 6 terms is 2604, (b)write down the first 6 terms of the geometric progression in (a) above

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Question 1026794: (a)find the first term of the geometric progression with r=5 in the sum of the first 6 terms is 2604,
(b)write down the first 6 terms of the geometric progression in (a) above
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
(a) The sum of the first six terms of a GP is given by S%5B6%5D+=+g%5B1%5D%28%28r%5E6-1%29%2F%28r-1%29%29
Since r = 5, the S%5B6%5D+=+g%5B1%5D%28%285%5E6-1%29%2F%285-1%29%29+=+3906g%5B1%5D+=+2604
==> g%5B1%5D+=+2%2F3, the first term of the GP.
(b) 2/3, 10/3, 50/3, 250/3, 1250/3, 6250/3.