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A Geometric Interpretation of Pascal’s Formula for Sums of Powers of Integers

Parames Laosinchai and Bhinyo Panijpan
The American Mathematical Monthly
Vol. 119, No. 1 (January 2012), pp. 58-64
DOI: 10.4169/amer.math.monthly.119.01.058
Stable URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.119.01.058
Page Count: 7
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A Geometric Interpretation of Pascal’s Formula for Sums of Powers of Integers
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Abstract

Abstract We present a geometric interpretation of Pascal’s formula for sums of powers of integers and extend the interpretation to the formula for sums of powers of arithmetic progressions. Related interpretations of a few other formulas are also discussed.

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