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.

An arithmetic sequence

Short answer

An arithmetic sequence is a sequence where the successive terms are either the addition or subtraction of the common term known as common difference. For example, 1, 4, 7, 10, ...is an arithmetic sequence.

Step-by-step solution

Step 1. Given Information    

The given statement is an arithmetic sequence

Step 2. Explanation    

An arithmetic sequence is a sequence where the successive terms are either the addition or subtraction of the common term known as common difference.

The general form of arithmetic sequence is $a,a+d,a+2d,a+3d,...$

For example, 1, 4, 7, 10, ...is an arithmetic sequence. A series formed by using an arithmetic sequence is known as the arithmetic series for example 1 + 4 + 7 + 10... is an arithmetic series.