Algebra 2 Common Core

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

Chapter 9 - Sequences and Series - Chapter Review - Page 605: 30

Answer

missing term = $\pm 0.04$

Work Step by Step

The middle term of three consecutive terms of a geometric sequence can be found using the geometric mean formula: geometric mean = $\sqrt {0.004 \bullet 0.4}$ Multiply terms within the radicand first: geometric mean = $\sqrt {0.0016}$ Take the square root: geometric mean = $0.04$ The missing term could be either the geometric mean or its opposite, so we need to include both positive and negative values: missing term = $\pm 0.04$
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