a(n)=12+(n-1)(10)

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Solution for a(n)=12+(n-1)(10) equation:


Simplifying
a(n) = 12 + (n + -1)(10)

Multiply a * n
an = 12 + (n + -1)(10)

Reorder the terms:
an = 12 + (-1 + n)(10)

Reorder the terms for easier multiplication:
an = 12 + 10(-1 + n)
an = 12 + (-1 * 10 + n * 10)
an = 12 + (-10 + 10n)

Combine like terms: 12 + -10 = 2
an = 2 + 10n

Solving
an = 2 + 10n

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 + 10

Simplifying
a = 2n-1 + 10

Reorder the terms:
a = 10 + 2n-1

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