F(n)=f(n-1)+2n

Solution for F(n)=f(n-1)+2n equation:

Simplifying
F(n) = f(n + -1) + 2n

Multiply F * n
nF = f(n + -1) + 2n

Reorder the terms:
nF = f(-1 + n) + 2n
nF = (-1 * f + n * f) + 2n
nF = (-1f + fn) + 2n

Solving
nF = -1f + fn + 2n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-1fn' to each side of the equation.
-1fn + nF = -1f + fn + -1fn + 2n

Combine like terms: fn + -1fn = 0
-1fn + nF = -1f + 0 + 2n
-1fn + nF = -1f + 2n

Add '-2n' to each side of the equation.
-1fn + -2n + nF = -1f + 2n + -2n

Combine like terms: 2n + -2n = 0
-1fn + -2n + nF = -1f + 0
-1fn + -2n + nF = -1f

Reorder the terms:
f + -1fn + -2n + nF = -1f + f

Combine like terms: -1f + f = 0
f + -1fn + -2n + nF = 0

The solution to this equation could not be determined.