Calculating sums of series
Summary processes - The series
Article REF: AF73 V1
Calculating sums of series
Summary processes - The series

Author : Bernard RANDÉ

Publication date: October 10, 2003 | Lire en français

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2. Calculating sums of series

We review a number of techniques that provide the exact value of certain sums of series.

2.1 Telescoping

The principle is as follows: if a series u admits a general term of the form v n + 1 - v n , we can express the partial sums of the series of general term u n in the form : Sn=k=0nuk=k=0n(vk+1vk)=vn+1v0

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