nLab
partial sum

Contents

Contents

Definition

In analysis, given a series

k=0a k \underoverset {k = 0} {\color{blue}\infty} {\sum} a_k

its nnth partial sum (for nn \in \mathbb{N} any natural number) is the actual sum

k=0na k \underoverset {k = 0} {\color{blue}n} {\sum} a_k

of the first n+1n+1 summands.

References

See also:

Created on July 24, 2021 at 07:47:54. See the history of this page for a list of all contributions to it.