SOLUTION: For the series 16, 24, 36, 54,... find S7.

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Question 1135959: For the series 16, 24, 36, 54,... find S7.

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
For the series 16, 24, 36, 54,... find S7.
That person is WRONG, as usual! This is NOT an A.P. with 4 as the common difference. It is in fact a G.P. with r or the common ratio being 1.5.
You can use the formula for a specific term in a G.P. to find the last term, or (matrix%281%2C3%2C+a%5Bn%5D%2C+%22=%22%2C+a%5B1%5Dr%5E%28n+-+1%29%29), where: r is 1.5, and a1, or 1st term is 16.
Last term:
Sum of a G.P.: matrix%281%2C3%2C+S%5Bn%5D%2C+%22=%22%2C+%28a%5B1%5D+-+a%5Bn%5D+%2A+r%29%2F%281+-+r%29%29, where: n = 7 ; a1, or 1st term = 16 ; an, or LAST term = 182.25 ; r = 1.5
Sum of the 1st 7 terms of this G.P.: