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arithmetic sequence
An = d (n-1) + A1
geometric sequence
An = A1 (r)^n-1
arithmetic series
Sn = n ((A1 + An) / 2)
geometric series
Sn = (A1 (1 - r^n)) / (1-r)
if |r| < 1
convergent
if |r| > 1
divergent
convergent series
Sn = (A1) / (1-r)