Linked from
The 25 pages that link to Partial sum, each with the reason it gives.
Alternating series testRelated: Convergence in the test means these sums approach a finite limit.
Asymptotic expansionRelated: Only finite partial sums carry the approximation guarantee.
Alternating harmonic seriesRelated: Partial sums alternate around the series’ limiting value.
Integer sequenceRelated: Taking partial sums transforms one integer sequence into another.
MajorizationRelated: Majorization compares every initial partial sum after entries are sorted.
Wald's equationRelated: A random sum can be written as a partial sum evaluated at a random index.