# Concept of Series

#### notes

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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