Q. T he value of the sum $S = \frac{1}{2} + \frac{1}{6} (1^{2} + 2^{2}) + \frac{1}{12} (1^{2} + 2^{2} + 3^{2}) + \frac{1}{20} (1^{2} + 2^{2} + 3^{2} + 4^{2}) + \dots\dots . + \frac{1}{3660} (1^{2} + 2^{2} + 3^{2} + \dots + 6 0^{2})$

210 115 Sequences and Series Report Error

A

620

B

720

C

520

D

420

Solution:

Correct answer is (a) 620