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1. The problem statement, all variables and given/known data

Hi!!

I've learned that the definition of a sequence of elements of complex numbers is as follows;

a sequence is a function whose domain is a set of all positive integers with values in a set consisting of all complex numbers. (Denote the set of all complex numbers by C from now on)

Now, let {a[itex]_{n}[/itex]} be a sequence of elements of C.

Then, as you know, infinite series is defined as a sequence of partial sums b[itex]_{k}[/itex] = [itex]\sum[/itex][itex]^{k}_{n=1}[/itex]a[itex]_{n}[/itex].If the limit of the sequence exists, then it is said that the infinite series{b[itex]_{k}[/itex]} is convergent. In this case,

a value of the limit of the sequence is called a sum of the series and is denoted by

lim[itex]_{k\rightarrow}[/itex][itex]\infty[/itex]b[itex]_{k}[/itex].

Now, here is my question.

I've seen a notation like this; [itex]\sum[/itex][itex]_{n=p}[/itex][itex]^{\infty}[/itex]a[itex]_{n}[/itex] where p is any integer. If p is not 1, then I have no idea how to interpret this expression.....

What is the exact definition of a kind of a sum above..?

2. Relevant equations

3. The attempt at a solution

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# Infinite series

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