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Asked by Surjitsp6u | 5th Aug, 2019, 02:36: PM

Expert Answer:

Let S be the sum of first n terms of a G.P.

R be the sum of the reciprocals of the first n terms of a G.P.

P be the product of the first n terms of a G.P.

We have the result P²Rⁿ=Sⁿ .... (i)

S = sum of first 24 terms of a G.P. = 2

P = Product first 24 terms of a G.P. = 2ⁿ

R = Sum of reciprocal of first 24 terms = 1

Using (i), we have

$open parentheses 2 to the power of n close parentheses squared open parentheses 1 close parentheses to the power of 24 equals 2 to the power of 24 rightwards double arrow 2 n equals 24 rightwards double arrow n equals 12$

Answered by Renu Varma | 6th Aug, 2019, 10:32: AM

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