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Hindu Holocaust

Algebra

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In Aryabhatiya, Aryabhata provided elegant results for the summation of series of squares and cubes:

1² + 2² + ··· + n² = n(n + 1)(2n + 1) / 6

and

1³ + 2³ + ··· + n³ = (1 + 2 + ··· + n)²