Q. 6

Mark the correct alternative in each of the following:

If S be the sum, P the product and R be the sum of the reciprocals of n terms of a GP, then is equal to

A. S/R

B. R/S

C.

D.

Answer :

Let the GP is a , ar , ar2 , ar3 , .......... arⁿ1.


S = Sum of n terms


= a + ar + ar2 + ar3 + .......+ arⁿ1



and R = sum of reciprocal of n terms





P = product of n terms = a × ar × ar2 × ar3 × .....× arⁿ1


=(a1111111⁺⁻⁻1)(r123⁺⁻⁻⁻⁻⁽1⁾〉



take square both sides,






Thus,


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