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Sum of infinite geometric series (common ratio : -1 < r < 1)

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The sum of the geometric sequence, with the first term a and the common ratio r (-1
Sn = a * (1-r^n) / (1-r)

If n ¡æ ¡Ä, then r^n ¡æ 0, so the sum S of infinite geometric series is :

S = a / (1-r)

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S = a/(1-r)
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