a(n)=12+(n-1)(3)

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Solution for a(n)=12+(n-1)(3) equation: 


Simplifying
a(n) = 12 + (n + -1)(3)

Multiply a * n
an = 12 + (n + -1)(3)

Reorder the terms:
an = 12 + (-1 + n)(3)

Reorder the terms for easier multiplication:
an = 12 + 3(-1 + n)
an = 12 + (-1 * 3 + n * 3)
an = 12 + (-3 + 3n)

Combine like terms: 12 + -3 = 9
an = 9 + 3n

Solving
an = 9 + 3n

Solving for variable 'a'.

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

Divide each side by 'n'.
a = 9n-1 + 3

Simplifying
a = 9n-1 + 3

Reorder the terms:
a = 3 + 9n-1

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