Geometric Series
A geometric series is a series where the ratio between successive terms is constant. For example, the series
∞∑i=0(13)i=1+13+19+127+…
is geometric with ratio r=13.
The geometric series ∞∑i=0ri=1+r+r2+r3+… converges to 11−r if |r|<1 and diverges if |r|≥1.
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