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Harmonic Series

Definition

The harmonic series is an infinite series formed by adding reciprocals of positive integers, starting from 1.

Related terms

Divergent Series: A series whose sum approaches infinity as more terms are added.

Convergent Series: A series whose sum approaches a finite value as more terms are added.

Telescoping Series: A series where most terms cancel out when simplified, leaving only a few remaining terms.

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AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.