Find the sum of the GP :

+ … to n terms

Sum of a G.P. series is represented by the formula, , when r>1. ‘S_n’ represents the sum of the G.P. series upto n^th terms, ‘a’ represents the first term, ‘r’ represents the common ratio and ‘n’ represents the number of terms.

Here,

a =

r = (ratio between the n term and n-1 term)

n terms

∴ [ Rationalizing the denominator]

⇒

⇒

∴