The sum to infinite GP means, the sum of terms in an infinite GP. The formula to find the sum of infinite geometric progression is S_∞ = a/(1 – r), where a is the first term and r is the common ratio.

The sum to n terms of a GP refers to the sum of the first n terms of a GP. In this article, you will learn how to derive the formula to find the sum of n terms of a given GP in different cases along with solved examples.

The sum of GP for finite terms is a(r^n-1)/(r-1) when r ≠ 1. If r = 1, then the sum turns out to be na. The sum of infinite terms f GP is a/(1-r) when |r| < 1, otherwise, the sum does not exist. Learn more about GP sum along with examples.

2025年3月1日 · General form of a Geometric Progression (GP) is a, ar, ar 2, ar 3, ar 4,…,ar n-1. a = First term r = common ratio ar n-1 = nth term. What is the sum of n terms of the GP formula? The formula to find the sum of GP is: Sn = a + ar + ar 2 + ar 3 +…+ ar n-1. Sn = a[(r n – 1)/(r – 1)] where r ≠ 1 and r > 1. What is Geometric Progression ...

Geometric Sequences are sometimes called Geometric Progressions (G.P.’s) To sum these: a + ar + ar2 + ... + ar(n-1)

Sum of infinite terms: S ∞ = a / (1 - r) when |r| < 1 and the sum is NOT defined when |r| ≥ 1. Let us study each formula in detail in the upcoming sections. To find the n th term of a GP, we require the first term and the common ratio.

Geometric Progression (G.P.) is a geometric sequence where each successive term is the result of multiplying a constant number to its preceding term. Learn Nth term, sum of G.P. with examples at BYJU'S.