smc

Question

For all positive integers n, let f(n)=_2002 n^2. Let N=f(11)+f(13)+f(14). Which of the following relations is true?

Accepted Answer

First, note that 2002 = 11 13 14. Using the fact that for any base we have a + b = ab, we get that N = _2002 (11^2 13^2 14^2) = _2002 2002^2 = N=2.