A function f(x) has these properties:
F(1)= 1
F(x+1)= f(x) + 3x(x+1)+ 1
Determine f(2)
To find f(2). let x = 1 into the formula: f(x+1) = f(x) + 3x(x+1) + 1:
f(2) = f(1+1) = f(1) + 3(1)(1+1) + 1 = 1 + 6 + 1 = 8