Lemma
EasySequences & series
#1374 · Algebra · Sequences & series

Sum of squares

Prove by induction that 1^2 + 2^2 + 3^2 + o o + n^2 = rac{1}{6} n(n + 1)(2n + 1) for all positive integers .

~10 minProof · checked by AImathematical inductionsum of squares

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XII. Mathematical Induction, Examples XII, No. 2

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