a(n)=65-(n-1)100

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Solution for a(n)=65-(n-1)100 equation: 


Simplifying
a(n) = 65 + -1(n + -1) * 100

Multiply a * n
an = 65 + -1(n + -1) * 100

Reorder the terms:
an = 65 + -1(-1 + n) * 100

Reorder the terms for easier multiplication:
an = 65 + -1 * 100(-1 + n)

Multiply -1 * 100
an = 65 + -100(-1 + n)
an = 65 + (-1 * -100 + n * -100)
an = 65 + (100 + -100n)

Combine like terms: 65 + 100 = 165
an = 165 + -100n

Solving
an = 165 + -100n

Solving for variable 'a'.

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

Divide each side by 'n'.
a = 165n-1 + -100

Simplifying
a = 165n-1 + -100

Reorder the terms:
a = -100 + 165n-1

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