a(n)=11+(n-1)(-2)

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Solution for a(n)=11+(n-1)(-2) equation: 


Simplifying
a(n) = 11 + (n + -1)(-2)

Multiply a * n
an = 11 + (n + -1)(-2)

Reorder the terms:
an = 11 + (-1 + n)(-2)

Reorder the terms for easier multiplication:
an = 11 + -2(-1 + n)
an = 11 + (-1 * -2 + n * -2)
an = 11 + (2 + -2n)

Combine like terms: 11 + 2 = 13
an = 13 + -2n

Solving
an = 13 + -2n

Solving for variable 'a'.

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

Divide each side by 'n'.
a = 13n-1 + -2

Simplifying
a = 13n-1 + -2

Reorder the terms:
a = -2 + 13n-1

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