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

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

Simplifying
A(n) = A(1) + (n + -1) * d

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

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

Reorder the terms:
nA = 1A + (-1 + n) * d

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

Solving
nA = 1A + -1d + dn

Solving for variable 'n'.

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

Add '-1dn' to each side of the equation.
-1dn + nA = 1A + -1d + dn + -1dn

Combine like terms: dn + -1dn = 0
-1dn + nA = 1A + -1d + 0
-1dn + nA = 1A + -1d

Reorder the terms:
-1A + d + -1dn + nA = 1A + -1d + -1A + d

Reorder the terms:
-1A + d + -1dn + nA = 1A + -1A + -1d + d

Combine like terms: 1A + -1A = 0
-1A + d + -1dn + nA = 0 + -1d + d
-1A + d + -1dn + nA = -1d + d

Combine like terms: -1d + d = 0
-1A + d + -1dn + nA = 0

The solution to this equation could not be determined.