Question

Give precise mathematical definitions or descriptions of each of the concepts that follow. Then illustrate the definition or description with a graph or an algebraic example.

A series, including the meaning of a term of the series

Short answer

A series is defined as the sum of the elements of a sequence. For example, $2+4+6+8$ is the series.It is a sum of elements that follow a pattern. Sum of infinite terms in a series is possible in some cases as well.

Step-by-step solution

Step 1. Given Information    

The given statement is a series, including the meaning of a term of the series

Step 2. Explanation   

A series is defined as the sum of the elements of a sequence.

In a finite series, a finite number of terms are written like $a_1+a_2+a_3+....a_n$.In case of an infinite series, the number of elements are not finite i.e. $a_1+a_2+a_3+....a_n+....$

For example, $2+4+6+8$is a series , where the sum of the series or value of the series will be 20.