Geometric Progression ( GP): Formula , Nth Term, Sum, Examples The geometric progression is a sequence of numbers that follows a special pattern. The geometric progression is abbreviated as GP . In this section, we will learn about geometric progression. Understanding this concept ensures you can quickly calculate the total of a geometric series with any number of terms. A sum to n terms of a GP (Geometric Progression) refers to the process of adding up the first n terms of a geometric sequence. Let’s begin – Geometric Progression ( GP ) A sequence of non-zero numbers is called a geometric progression ( GP ) if the ratio of a term and the term preceding to its always a constant quantity. The constant ratio is called the common ration of the GP . 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 ...
