Practise midterm feb 2004 #2b

: Math 2730 Sequences and Series: Practise midterm feb 2004 #2b
   By Anonymous on Tuesday, February 26, 2008 - 09:30 pm: Edit Post

I have a question about the february 2004 midterm practise exam.

For #2b, the series is a telescoping series so we need to find the nth partial sum.

Why does Sn stop at n=n-1? Why doesn't Sn stop at n=n+2?

   By Sasho on Tuesday, February 26, 2008 - 09:45 pm: Edit Post

It does not matter, since lim(sn) is the same as lim(sn+2) as n goes to infinity. In other words, if you use sn+2 and you will get the same answer.

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