f(2)=3f(n-1)+1

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

Simplifying
f(2) = 3f(n + -1) + 1

Reorder the terms for easier multiplication:
2f = 3f(n + -1) + 1

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

Reorder the terms:
2f = 1 + -3f + 3fn

Solving
2f = 1 + -3f + 3fn

Solving for variable 'f'.

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

Add '3f' to each side of the equation.
2f + 3f = 1 + -3f + 3f + 3fn

Combine like terms: 2f + 3f = 5f
5f = 1 + -3f + 3f + 3fn

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

Add '-3fn' to each side of the equation.
5f + -3fn = 1 + 3fn + -3fn

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

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

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

The solution to this equation could not be determined.