Show that the series can be written in the telescoping form where and is the partial
Chapter 9, Problem 129(choose chapter or problem)
Show that the series \(\sum_{n=1}^{\infty} a_{n}\) can be written in the telescoping form
\(\sum_{n=1}^{\infty}\left[\left(c-S_{n-1}\right)-\left(c-S_{n}\right)\right]\)
where \(S_{0}=0\) and \(S_{n}\) is the nth partial sum.
Text Transcription:
sum_n=1^inftya_n
sum_n=1^infty[(c-S_n-1)-(c-S_n)]
S_0=0
S_n
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