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

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

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

Multiply f * n
fn = 2f(n + -1)

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

Solving
fn = -2f + 2fn

Solving for variable 'f'.

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

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), 'f'.
f(2 + -1n) = 0

Subproblem 1
Set the factor 'f' equal to zero and attempt to solve:

Simplifying
f = 0

Solving
f = 0

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

Simplifying
f = 0
Subproblem 2
Set the factor '(2 + -1n)' equal to zero and attempt to solve:

Simplifying
2 + -1n = 0

Solving
2 + -1n = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1n = 0 + -2
-1n = 0 + -2

Combine like terms: 0 + -2 = -2
-1n = -2

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

Combine like terms: -1n + n = 0
0 = -2 + n

Simplifying
0 = -2 + n

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
f = {0}