Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 9 - Sequences and Series - 9-2 Arithmetic Sequences - Practice and Problem-Solving Exercises - Page 575: 21

Answer

The middle term is $13$.

Work Step by Step

With arithmetic sequences with three consecutive terms, the middle term can be found by taking the arithmetic mean of the two terms that are given. The arithmetic mean is given by the formula: arithmetic mean = $\frac{x + y}{2}$ Substitute the values given into the formula: arithmetic mean = $\frac{5 + 21}{2}$ Add to simplify: arithmetic mean = $\frac{26}{2}$ Simplify the fraction: arithmetic mean = $13$ The middle term is $13$.
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