What is a partial sum of an infinite series?

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What is a partial sum of an infinite series?

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Answer 1 · 2014-08-30T01:33:18

A partial sum $S_{n}$ $S_n$ of an infinite series $\infty \sum i = 1 a_{i}$ $sum_{i=1}^{infty}a_i$ is the sum of the first n terms, that is,
$S_{n} = a_{1} + a_{2} + a_{3} + \dots + a_{n} = n \sum i = 1 a_{i}$ $S_n=a_1+a_2+a_3+cdots+a_n=sum_{i=1}^na_i$ .

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What is a partial sum of an infinite series?

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