F(5)=F(5-1)+2(5)-1

Solution for F(5)=F(5-1)+2(5)-1 equation:

Simplifying
F(5) = F(5 + -1) + 2(5) + -1

Reorder the terms for easier multiplication:
5F = F(5 + -1) + 2(5) + -1

Combine like terms: 5 + -1 = 4
5F = F(4) + 2(5) + -1

Reorder the terms for easier multiplication:
5F = 4F + 2(5) + -1

Multiply 2 * 5
5F = 4F + 10 + -1

Reorder the terms:
5F = 10 + -1 + 4F

Combine like terms: 10 + -1 = 9
5F = 9 + 4F

Solving
5F = 9 + 4F

Solving for variable 'F'.

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

Add '-4F' to each side of the equation.
5F + -4F = 9 + 4F + -4F

Combine like terms: 5F + -4F = 1F
1F = 9 + 4F + -4F

Combine like terms: 4F + -4F = 0
1F = 9 + 0
1F = 9

Divide each side by '1'.
F = 9

Simplifying
F = 9