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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 ... Learn what a geometric progression ( GP ) is, how to find its nth term and sum, and the difference between GP and other progressions. A GP is a special type of progression where the ratio of any term and its previous term is constant. The above formula is also called Geometric Progression formula or G.P . formula to find the sum of GP of finite terms. Here, r is the common ratio of G.P . formula . 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.