F(3)is=3f(n-1)+1

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


Simplifying
F(3) * is = 3f(n + -1) + 1

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

Multiply F * is
3isF = 3f(n + -1) + 1

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

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

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

Solving for variable 'i'.

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

Divide each side by '3sF'.
i = 0.3333333333s-1F-1 + -1fs-1F-1 + fns-1F-1

Simplifying
i = 0.3333333333s-1F-1 + -1fs-1F-1 + fns-1F-1

Reorder the terms:
i = fns-1F-1 + -1fs-1F-1 + 0.3333333333s-1F-1

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