Three consecutive integers are multiplied together, and the middle number is added to the total. E.g. $latex (4 \times 5 \times 6)+5=125=5^3$ Prove that this is always true, with any set of three consecutive integers.

# Month: September 2016

# Function Fun

Suppose $latex f(3) = \sqrt(3)$ $latex f(-a) = -f(a)$ $latex f(a+b) = \frac{f(a)+f(b)}{(1-f(a)f(b))}$ Evaluate $latex f(1)f(2)f(3)f(4) $

# n to the Five

Is $latex n^5 + 5^n $ ever prime?