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Chapter 8: Problem 63

What is an arithmetic sequence? Give an example with your explanation.

Short Answer

Expert verified
An arithmetic sequence is a sequence of numbers where the difference between any two consecutive terms is constant. An example would be the sequence: 2, 5, 8, 11, 14, where the common difference is 3.

Step by step solution

01

Definition

An arithmetic sequence, often known as an arithmetic progression in mathematical terms, is a sequence of numbers in which the difference between any two consecutive terms is constant. This difference is usually referred to as the 'common difference'.
02

Example

An example of an arithmetic sequence would be: 2, 5, 8, 11, 14... In this particular sequence, the common difference is 3 (5-2 = 3, 8-5 = 3, etc.). It's clear that the difference between any two consecutive terms in this sequence is always 3, hence making it an arithmetic sequence.

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Most popular questions from this chapter

Find the term indicated in each expansion. \((2 x+y)^{6} ;\) third term

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