Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.7 Arithmetic and Geometric Sequences - Exercise Set 5.7 - Page 330: 107


(i) The sequence is arithmetic. (ii) The next two terms are: $\frac{5}{2}$ and $3$.

Work Step by Step

A sequence is: (a) arithmetic if there is a common difference among the terms. (b) geometric if there is a common ratio among the terms. Notice that the given sequence has terms that increase by $\frac{1}{2}$. This means that the sequence has a common difference of $\frac{1}{2}$. Thus, the sequence is $\underline{\text{arithmetic}}$. The next two terms can be found by adding $\frac{1}{2}$ to the previous term. Therefore, the next two terms are: $2 + \frac{1}{2} =\frac{5}{2} \\\frac{5}{2} + \frac{1}{2} = 3$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.