Arithmetic Explicit
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Pre-Calculus
Series
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a1 + (n-1)d
Arithmetic Recursive
an-1 + d
Arithmetic Sum
n/2 * (a1+an)
Geometric explicit
a1 * r^n-1
Geometric recursive
r * an-1
Geometric Finite Sum
(a1 * (1 - r^n)) / 1-r
Geometric Infinite Sum
a1 / 1-r iff. |r| < 1