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A Calculus Exercise For the Sums of Integer Powers

by Joseph Wiener (University of Texas - Pan American)

This article originally appeared in:
Mathematics Magazine
October, 1992

Subject classification(s): Algebra and Number Theory | Number Theory
Applicable Course(s): 3.0 Calculus | 3.1 Mainstream Calculus I | 3.4 Non-mainstream Calc I

The author uses differentiation to obtain a standard formula for sums of the form \(1^k + 2^k + \ldots + n^k\), where \(n\) and \(k\) are positive integers.


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Capsule Course Topic(s):
Sequences and Series | Special Sequences
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