(an)-3(an-1)=n

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Solution for (an)-3(an-1)=n equation:


Simplifying
(an) + -3(an + -1) = n
an + -3(an + -1) = n

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

Reorder the terms:
3 + an + -3an = n

Combine like terms: an + -3an = -2an
3 + -2an = n

Solving
3 + -2an = n

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + -3 + -2an = -3 + n

Combine like terms: 3 + -3 = 0
0 + -2an = -3 + n
-2an = -3 + n

Divide each side by '-2n'.
a = 1.5n-1 + -0.5

Simplifying
a = 1.5n-1 + -0.5

Reorder the terms:
a = -0.5 + 1.5n-1

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