an+1=3an

Solution for an+1=3an equation:

Simplifying
an + 1 = 3an

Reorder the terms:
1 + an = 3an

Solving
1 + an = 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.
1 + an + -3an = 3an + -3an

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

Combine like terms: 3an + -3an = 0
1 + -2an = 0

Add '-1' to each side of the equation.
1 + -1 + -2an = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2an = 0 + -1
-2an = 0 + -1

Combine like terms: 0 + -1 = -1
-2an = -1

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

Simplifying
a = 0.5n-1