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I have to learn some topic on sequence and series. So first i would like to know some basic difference between sequence and series. Can anybody explain the difference between them?

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closed as not constructive by The Chaz 2.0, Dennis Gulko, mixedmath, Did, TMM May 28 '12 at 15:42

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Sequence is a bunch of numbers having some relationships but the sum of several terms of a sequence is called a series. –  Gigili May 28 '12 at 14:37
what about finite sequence and series? –  Kns May 28 '12 at 14:39
What about them? –  Gigili May 28 '12 at 14:40
You could find some good explanations by googling. –  Gigili May 28 '12 at 14:53
I'm gonna go with "not constructive"... –  The Chaz 2.0 May 28 '12 at 14:57

1 Answer 1

There is no difference from general point of view. The point is that for each series $\sum_{k=1}^\infty a_k$ one can consider the sequence of its partial sums $s_n=\sum_{k=1}^na_k$, and for each sequence $\{s_k\}_{k=1}^\infty$ the series $\sum_{k=1}^\infty a_k$ can be considered where $a_1=s_1,\,a_k=s_{k}-s_{k-1}$.

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