Find the sum to indicated number of terms in each of the geometric progressions in
x³, x^5, x⁷, ... n terms (if x 1).

Question

Find the sum to indicated number of terms in each of the geometric progressions in x 3 , x 5, x 7 , ... n terms (if x 1).

Philoid · Accepted Answer

Given: x³, x^5, x⁷, ... n terms

Sum of n terms of a G.P. is given by: (a: First term of G.P, r: common difference of G.P, n: Number of terms of the G.P)

First term of the Given G.P (a) = x³

Common difference of the given G.P(r) = = x²

Number of terms(n): n

Let the sum of n terms be s

∴ The sum of n terms of the given sequence is:

Find the sum to indicated number of terms in each of the geometric progressions inx3, x5, x7, ... n terms (if x 1).