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Find the sum 1^2+2^2+3^2+……………+10^2.(a) 325(b) 365(c) 385(d) 435I got this question during a job interview.This interesting question is from Sum to n Terms of Special Series in division Sequences and Series of Mathematics – Class 11

Answer»

Correct option is (c) 385

The best I can explain: We KNOW, sum of SQUARES of FIRST n terms is GIVEN by \(\frac{(n(n+1)(2n+1))}{6}\).

Here, n=10. So, sum = 10*11*21/6 = 385.



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