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Sums of powers of natural numbers (1) By coefficient operation or...

Published online by Cambridge University Press:  22 September 2016

Sidney H. Scott
Sidney H. Scott*
Affiliation:
Hatfield Polytechnic, Herts AL1O 9AB
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Extract

If formulae are known for

1 + 2 +… + n and l2 + 22 +… + n2,

then, by a standard school method, a formula for

l3 + 23 +… + n3

can be deduced in the following fashion:

Type
Research Article
Information
The Mathematical Gazette , Volume 64 , Issue 430 , December 1980 , pp. 231 - 238
Copyright
Copyright © Mathematical Association 1980

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References

1. Sherwood, Howard, Sums of powers of integers and Bernoulli numbers, Mathl Gaz. 54, 272–274 (No. 389, October 1970).Google Scholar