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: 104

Answer

(i) The sequence is arithmetic. (ii) The next two terms are: 7 and 11.

Work Step by Step

A sequence is: (a) arithmetic if there is a common difference among the terms; or (b) geometric if there is a common ratio among the terms. Notice that the given sequence has terms that increase by 4. This means that the sequence has a common difference of 4. Thus, the sequence is $\underline{\text{arithmetic}}$. The next two terms can be found by adding 4 to the previous term. Therefore, the next two terms are: $3+4=7 \\7+4=11$
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