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Geometric series

Monday, February 11th, 2008

Geometric series:

Consider the series

a + aq + aq^2 + … + aq^n

That series is called geometric serie, with first term a and ratio q (a not equal to 0).

The sum of the first n terms of the geometric serie is (when q not equal 1) :

S_n = (a - aq^n) /(1 - q)