A(n)=2.5+(n-1)(2.5)

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Solution for A(n)=2.5+(n-1)(2.5) equation: 


Simplifying
A(n) = 2.5 + (n + -1)(2.5)

Multiply A * n
nA = 2.5 + (n + -1)(2.5)

Reorder the terms:
nA = 2.5 + (-1 + n)(2.5)

Reorder the terms for easier multiplication:
nA = 2.5 + 2.5(-1 + n)
nA = 2.5 + (-1 * 2.5 + n * 2.5)
nA = 2.5 + (-2.5 + 2.5n)

Combine like terms: 2.5 + -2.5 = 0.0
nA = 0.0 + 2.5n
nA = 2.5n

Solving
nA = 2.5n

Solving for variable 'n'.

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

Add '-2.5n' to each side of the equation.
-2.5n + nA = 2.5n + -2.5n

Combine like terms: 2.5n + -2.5n = 0.0
-2.5n + nA = 0.0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-2.5 + A) = 0.0


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 '(-2.5 + A)' equal to zero and attempt to solve:

Simplifying
-2.5 + A = 0

Solving
-2.5 + A = 0

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + A = 0 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + A = 0 + 2.5
A = 0 + 2.5

Combine like terms: 0 + 2.5 = 2.5
A = 2.5

Add '-1A' to each side of the equation.
A + -1A = 2.5 + -1A

Combine like terms: A + -1A = 0
0 = 2.5 + -1A

Simplifying
0 = 2.5 + -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}

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