geometric series
The sum of a geometric sequence, that is, a series a1 + a2 + a3 + ... in which the terms form a geometric sequence.

The sum of the first n terms can be obtained as follows:

Sn = a1 + a2 + a3 + ...an
= a1 + a1r + a1r2 + ... + a1rn-1
= a1 (rn - 1)/(r - 1)

in which r is the common ratio.


Related Terms: arithmetic series, geometric sequence, series


 
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