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

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


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

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

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

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

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

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

Combine like terms: -3f + 3f = 0
5f = -2 + 0 + 3fn
5f = -2 + 3fn

Add '-3fn' to each side of the equation.
5f + -3fn = -2 + 3fn + -3fn

Combine like terms: 3fn + -3fn = 0
5f + -3fn = -2 + 0
5f + -3fn = -2

Reorder the terms:
2 + 5f + -3fn = -2 + 2

Combine like terms: -2 + 2 = 0
2 + 5f + -3fn = 0

The solution to this equation could not be determined.

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