Learn about the formulas to find the sum of n terms of a geometric progression (GP) for finite and infinite GP. Understand the proofs with solved examples. In a finite GP , the product of the terms at the same distance from the beginning and the end is the same. It means, a1 × an = a2 × an-1 =...= ak × an-k+1. If we multiply or divide a non-zero quantity by each term of the GP , then the resulting sequence is also in GP with the same common ratio. GP Sum The sum of a GP is the sum of a few or all terms of a geometric progression. GP sum is calculated by one of the following formulas: Sum of n terms of GP , S n = a (1 - r n) / (1 - r), when r ≠ 1 Sum of infinite terms of GP , S n = a / (1 - r), when |r| < 1 Here, 'a' is the first term and 'r' is the common ratio of GP . A series of numbers obtained by multiplying or dividing each preceding term, such that there is a common ratio between the terms (that is not equal to 0) is the ... A GP is one where every term in the given sequence maintains a constant ratio to its prior term. Geometric progression, arithmetic progression, and harmonic progression are some of the important sequence and series and statistics related topics. In this article, you will get to know all about the geometric progression formula for finding the sum of the nth term, the general form along with properties and solved examples. This topic is even important for IIT JEE Main and JEE Advanced ...
