# How to calculate the sum of a series

It’s very easy to calculate the sum of a arithmetic progression series. You can use this formula to calculate the sum of all the terms in a progressive series. S (n) = n/2 [2a + n-1 (d)] Where n is

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## Sum of Series Calculator

For the first sum, consider $f(x) = \displaystyle \sum_{n=0}^{\infty} x^n$ where $|x|$f(x) = \frac1{1-x}$(geometric series)$f'(x) = \displaystyle \sum_{n=1}^{\infty} n x^{n-1}

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## Infinite Geometric Series

The sum to infinity of a geometric series is given by the formula S ∞ =a 1 /(1-r), where a 1 is the first term in the series and r is found by dividing any term by the term immediately before it. a 1

## How to Find the Sum of an Arithmetic Sequence

Sum of the telescoping series. The sum of a telescoping series is given by the formula???\sum^{\infty}_{n=1}a_n=\lim_{n\to\infty}s_n??? We know that ???s_n??? is the series

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