The infinite series formula is used to find the sum of a sequence where the number of terms is infinite. There are various types of infinite series. In this section, we will discuss the sum of infinite geometric series. The geometric series is the series where the ratio of the consecutive terms to the preceding term is the same throughout. The geometric series formula is a handy tool to calculate the sum very quickly. Let us learn more about the infinite series formula along with solved examples.
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The sum of the infinite geometric series formula of the infinite series formula is also known as the sum of infinite GP. The infinite series formula if the value of r is such that −1<r<1, can be given as,
a = first term of the series
r = common ratio between two consecutive terms and −1<r<1
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