(11 2 + 12 2 + 13 2 + ... + 20 2 ) = ? Options: A . &nbsp385 B . &nbsp2485 C . &nbsp2870 D . &nbsp3255

Answer: Option B (11 2 + 12 2 + 13 2 + ... + 20 2 ) = (1 2 + 2 2 + 3 2 + ... + 20 2 ) - (1 2 + 2 2 + 3 2 + ... + 10 2 ) Ref: (1 2 + 2 2 + 3 2 + ... + n 2 ) = 1 n ( n + 1)(2 n + 1) 6 = (2870 - 385) = 2485.

(112 + 122 + 132 + ... + 202) = ?

Question

(11² + 12² + 13² + ... + 20²) = ?

Options:

A . 385

B . 2485

C . 2870

D . 3255

Answer: Option B

(11² + 12² + 13² + ... + 20²) = (1² + 2² + 3² + ... + 20²) - (1² + 2² + 3² + ... + 10²)

Ref: (1² + 2² + 3² + ... + n²) = 1 n(n + 1)(2n + 1) 6

= (2870 - 385)

= 2485.

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