## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 5 - Number Theory and the Real Number System - 5.7 Arithmetic and Geometric Sequences - Exercise Set 5.7: 100

#### Answer

(i) The sequence is arithmetic. (ii) The next two terms are: 23 and 28.

#### 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 5. This means that the sequence has a common difference of 5. Thus, the sequence is $\underline{\text{arithmetic}}$. The next two terms can be found by adding 5 to the previous term. Therefore, the next two terms are: $23 \text{ and } 28$

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