Find the sum of the GP :
+ … to n terms
Sum of a G.P. series is represented by the formula, , when r>1. ‘Sn’ represents the sum of the G.P. series upto nth 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]
⇒
⇒
∴