Question

The sum of the first 24 terms of a G.P. is 2 and the sum of the reciprocals of the first 24
terms of G.P. is unity. If the product of the first 24 terms of the series is 2^n
, where neN,
Then find the value of n.​

Answer 1

Answer:

The answer is n=12

Step-by-step explanation:

If S is the sun. R is the reciprocal and P is the product of n terms of G.P

The formula used is

p^2r^n = S^n

n = 24

S = 2

R = 1

P =.2^n

Now put the values in the above formula.

(2^n)^2 x (1)^24 = 2^24

2^2n = 2^24

2^n = 24

n = 24/2  

n = 12

Thus the value of n is 12.