Concept of Series

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Let `a_1, a_2, a_3,…,a_n`, be a given sequence. Then, the expression 
`a_1 + a_2 + a_3 +,…+ a_n + ...`
is called the series associated with the given sequence. 
Series are often represented in compact form, called sigma notation, using the Greek letter ∑(sigma) as means of indicating the summation involved. 
Thus the series `a_1 + a_2 + a_3 +...+a_n` is  abbreviated as `sum _(k=1)^n a_k.`

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