F(n+1)=[f(n)2+f(n-1)3]

Solution for F(n+1)=[f(n)2+f(n-1)3] equation:

Simplifying
F(n + 1) = [f(n) * 2 + f(n + -1) * 3]

Reorder the terms:
F(1 + n) = [f(n) * 2 + f(n + -1) * 3]
(1 * F + n * F) = [f(n) * 2 + f(n + -1) * 3]
(1F + nF) = [f(n) * 2 + f(n + -1) * 3]

Reorder the terms for easier multiplication:
1F + nF = [2f * n + f(n + -1) * 3]

Multiply f * n
1F + nF = [2fn + f(n + -1) * 3]

Reorder the terms:
1F + nF = [2fn + f(-1 + n) * 3]

Reorder the terms for easier multiplication:
1F + nF = [2fn + 3f(-1 + n)]
1F + nF = [2fn + (-1 * 3f + n * 3f)]
1F + nF = [2fn + (-3f + 3fn)]

Reorder the terms:
1F + nF = [-3f + 2fn + 3fn]

Combine like terms: 2fn + 3fn = 5fn
1F + nF = [-3f + 5fn]

Remove brackets around [-3f + 5fn]
1F + nF = -3f + 5fn

Solving
1F + nF = -3f + 5fn

Solving for variable 'F'.

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

Reorder the terms:
1F + 3f + -5fn + nF = -3f + 5fn + 3f + -5fn

Reorder the terms:
1F + 3f + -5fn + nF = -3f + 3f + 5fn + -5fn

Combine like terms: -3f + 3f = 0
1F + 3f + -5fn + nF = 0 + 5fn + -5fn
1F + 3f + -5fn + nF = 5fn + -5fn

Combine like terms: 5fn + -5fn = 0
1F + 3f + -5fn + nF = 0

The solution to this equation could not be determined.