.
Find
![1 {}^{2} + 2 {}^{2} + ............. + 10 {}^{2} 1 {}^{2} + 2 {}^{2} + ............. + 10 {}^{2}](https://tex.z-dn.net/?f=+1++%7B%7D%5E%7B2%7D++%2B+2+%7B%7D%5E%7B2%7D++%2B+.............+%2B+10+%7B%7D%5E%7B2%7D)
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Answer:
n(n+1)(2n+1)/6
1² + 2² + 3² + .... + 10² = 10*(10+1)(2(10)+1)/6
= 10*11*21/6
= 5*11*7 = 385
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