Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 4 - Writing Linear Functions - 4.6 - Arithmetic Sequences - Exercises - Page 214: 13

Answer

The next three terms are $36,41,$ and $46$.

Work Step by Step

The given arithmetic sequence is $16,21,26,31,...$ Each term is $5$ more than the previous term. so, the common difference is $5$. The next three terms are $31+5=36$ $36+5=41$ $41+5=46$ Hence, the next three terms are $36,41,$ and $46$.
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