(1 2 + 2 2 + 3 2 + ... + 10 2 ) = ? Options: A . &nbsp330 B . &nbsp345 C . &nbsp365 D . &nbsp385

Answer: Option D We know that (1 2 + 2 2 + 3 2 + ... + n 2 ) = 1 n ( n + 1)(2 n + 1) 6 Putting n = 10, required sum = 1 x 10 x 11 x 21 = 385 6

(12 + 22 + 32 + ... + 102) = ?

Question

(1² + 2² + 3² + ... + 10²) = ?

Options:

A . 330

B . 345

C . 365

D . 385

Answer: Option D

We know that (1² + 2² + 3² + ... + n²) = 1 n(n + 1)(2n + 1) 6

Putting n = 10, required sum = 1 x 10 x 11 x 21 = 385 6

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