12 + 22 + 32 + 42 + ........... + 202 = কত?
 

A 2560 

B 2740 

C 2320 

D 2870

Solution

Correct Answer: Option D

আমরা জানি,
12 + 22 + 32 + 42 + ........... + n2 = (1/6){n(n+1)(2n + 1)}

12 + 22 + 32 + 42 + ........... + 202 = (1/6){20(20+1)(2×20 + 1)}
                                                     = (20×21×41)/6
                                                     = 2870

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