an=2+a(n-1)

Solution for an=2+a(n-1) equation:

Simplifying
an = 2 + a(n + -1)

Reorder the terms:
an = 2 + a(-1 + n)
an = 2 + (-1 * a + n * a)
an = 2 + (-1a + an)

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

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

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

Solving
0 = 2 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
0 + a = 2 + -1a + a
Remove the zero:
a = 2 + -1a + a

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

Simplifying
a = 2