On the sums of powers of natural numbers

Tikekar, V.G. (2017) On the sums of powers of natural numbers. At Right Angles, 6 (3). pp. 5-8.

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Abstract

The formulae to obtain the sum of the first n natural numbers, the sum of the squares of the first n natural numbers and the sum of the cubes of the first n natural numbers are generally introduced to students during their final school year. Generally, these formulae are derived using the celebrated technique of mathematical induction. But the defect of this approach is that we must know in advance the formula to be proved. This is clearly a great handicap.

Item Type: Articles in APF Magazines
Authors: Tikekar, V.G.
Document Language:
Language
English
Uncontrolled Keywords: Sums of powers, Natural numbers, Squares, Cubes, Choice, Combinatorics, Narrative, Story
Subjects: Natural Sciences > Mathematics
Divisions: Azim Premji University > University Publications > At Right Angles
Full Text Status: Public
URI: http://publications.azimpremjiuniversity.edu.in/id/eprint/1276
Publisher URL: http://apfstatic.s3.ap-south-1.amazonaws.com/s3fs-...

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