WBJEE 2015 Math Solved Paper

Question : 64 of 80

Marks: +1, -0

Let f : N → R be such that f(1) = 1 andf(1) + 2f(2) + 3f(3) + ... ..... + nf(n) = n(n + 1)f(n), for all n ∊ N, n ≥ 2, where N is the set of natural numbers and R is theset of real numbers. Then the value of f(500) is