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Question -

Given a G.P. with a = 729 and 7th term64, determine S7.



Answer -

Given,

a = 729 and a7 =64

Let r bethe common ratio of the G.P.

Then we knowthat, an = a rn–1

a7 = ar7–1 = (729)r6

64 = 729 r6

r6 = 64/729

r6 = (2/3)6

r = 2/3

And, we know that

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