a(n)=7+(n-1)(5)

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Solution for a(n)=7+(n-1)(5) equation: 


Simplifying
a(n) = 7 + (n + -1)(5)

Multiply a * n
an = 7 + (n + -1)(5)

Reorder the terms:
an = 7 + (-1 + n)(5)

Reorder the terms for easier multiplication:
an = 7 + 5(-1 + n)
an = 7 + (-1 * 5 + n * 5)
an = 7 + (-5 + 5n)

Combine like terms: 7 + -5 = 2
an = 2 + 5n

Solving
an = 2 + 5n

Solving for variable 'a'.

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

Divide each side by 'n'.
a = 2n-1 + 5

Simplifying
a = 2n-1 + 5

Reorder the terms:
a = 5 + 2n-1

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