A geometric interpretation of pascal's formula for sums of powers of integers

Parames LaosinchaiBhinyo PanijpanMahidol University2018-06-112018-06-112012-01-01American Mathematical Monthly. Vol.119, No.1 (2012), 58-64000298902-s2.0-84055184905https://repository.li.mahidol.ac.th/handle/20.500.14594/14405We 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. © THE MATHEMATICAL ASSOCIATION OF AMERICA.Mahidol UniversityMathematicsA geometric interpretation of pascal's formula for sums of powers of integersArticleSCOPUS10.4169/amer.math.monthly.119.01.058