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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

Expert verified

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

01

Step 1. Given Information    

The given statement is an arithmetic sequence

02

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.

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