Mathematical Analysis

Sequences and Series

What is the notation commonly used for series and sequences?

When looking at a sequence and series, we need to distinguish between the ones we want to add, and the ones we do not want to add. The common symbol used for addition with a sequence or a series is the summation symbol, seen as the symbol Σ. When discussing a series, this symbol is used to mean the sum of numbers. For example, for the series called xn:


Also note that for any given series Σxn, we have to also remember to associate it with the sequence of partial sums (sn = x1 + x2 + … + xn).


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