![]() ![]() The sum of the infinite geometric series when the common ratio is <1, then the sum converges to a/(1-r), which is the infinite series formula of an infinite GP. If S n tends to a limit as n tends to infinity, the limit is called the sum to infinity of the series. The sum of infinite arithmetic series is either +∞ or - ∞. The sum of the first n terms, S n, is called a partial sum. To find: Sum of the given infinite seriesįAQs on Infinite Series Formula What Is the Sum of Infinite Terms?Īn infinite series has an infinite number of terms. Let us now have a look at a few solved examples using the Infinite Series Formula.Įxample 1: Using an infinite series formula, find the sum of infinite series: 1/4 + 1/16 + 1/64 + 1/256 +⋯ The sum of an infinite arithmetic sequence is ∞, if d > 0- ∞, if d The sum of an infinite arithmetic sequence is ∞, if d > 0, or. ![]() The infinite series formula if −1 1, the sum does not exist as the sum does not converge. While finding the sum of a GP, we find that the sum converges to a value, though the series has infinite terms. This is also known as the sum of infinite GP. The sum of the infinite geometric series formula is used to find the sum of the series that extends up to infinity. ![]() Let us learn more about the infinite series formula along with solved examples. The infinite series formula is a handy tool to calculate the sum very quickly. The arithmetic series is the sequence where the difference between each consecutive term is constant throughout and the geometric series is the series where the ratio of the consecutive terms to the preceding term is the same throughout. In this section, we will discuss the sum of infinite arithmetic series and the sum of infinite geometric series. 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. ![]()
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