A(n)=3+(n-1)(3)

Solution for A(n)=3+(n-1)(3) equation:

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

Multiply A * n
nA = 3 + (n + -1)(3)

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

Reorder the terms for easier multiplication:
nA = 3 + 3(-1 + n)
nA = 3 + (-1 * 3 + n * 3)
nA = 3 + (-3 + 3n)

Combine like terms: 3 + -3 = 0
nA = 0 + 3n
nA = 3n

Solving
nA = 3n

Solving for variable 'n'.

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

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

Combine like terms: 3n + -3n = 0
-3n + nA = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-3 + A) = 0

Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0
Subproblem 2
Set the factor '(-3 + A)' equal to zero and attempt to solve:

Simplifying
-3 + A = 0

Solving
-3 + A = 0

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

Add '3' to each side of the equation.
-3 + 3 + A = 0 + 3

Combine like terms: -3 + 3 = 0
0 + A = 0 + 3
A = 0 + 3

Combine like terms: 0 + 3 = 3
A = 3

Add '-1A' to each side of the equation.
A + -1A = 3 + -1A

Combine like terms: A + -1A = 0
0 = 3 + -1A

Simplifying
0 = 3 + -1A

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}