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

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


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

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

Reorder the terms:
fn = n(-1 + n) + 2
fn = (-1 * n + n * n) + 2
fn = (-1n + n2) + 2

Reorder the terms:
fn = 2 + -1n + n2

Solving
fn = 2 + -1n + n2

Solving for variable 'f'.

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

Divide each side by 'n'.
f = 2n-1 + -1 + n

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

Reorder the terms:
f = -1 + 2n-1 + n

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