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Sum of squares and cubes of natural numbers

Sequences, series and the binomial theorem · Mathematics

Study notes

Q: Find (a) 1^2 + 2^2 + ... + 10^2 (b) 1^3 + 2^3 + ... + 5^3. (a) n = 10: 10x11x21/6 = 2310/6 = 385. (b) n = 5: [5x6/2]^2 = 15^2 = 225. Check: 1+8+27+64+125 = 225.

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