an=an-1+2an-2

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Solution for an=an-1+2an-2 equation:


Simplifying
an = an + -1 + 2an + -2

Reorder the terms:
an = -1 + -2 + an + 2an

Combine like terms: -1 + -2 = -3
an = -3 + an + 2an

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

Solving
an = -3 + 3an

Solving for variable 'a'.

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

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

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

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

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

Simplifying
a = 1.5n-1

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