Common
Telescoping series
Series whose partial sums eventually only have a fixed number of terms after cancellation
Telescoping series
In mathematics, a telescoping series is a series whose general term t n {\displaystyle t_{n}} is of the form t n = a n − a n − 1 {\displaystyle t_{n}=a_{n}-a_{n-1}} , i.e. the difference of two consecutive terms of a sequence ( a n ) {\displaystyle (a_{n})} . As a consequence the partial sums of the series only consists of two terms of ( a n ) {\displaystyle (a_{n})} after cancellation. The cancellation technique...
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