Algebra 2 Common Core

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

Chapter 1 - Expressions, Equations, and Inequalities - Mid-Chapter Quiz: 3

Answer

Pattern: Divide the previous term by 2 Next term in the sequence: $\frac{x}{24}$

Work Step by Step

First, you must find the pattern. Each term is exactly 1/2 of the term before it, for example: $\frac{2x}{3}$ $\times$ $\frac{1}{2}$ = $\frac{x}{3}$ $\frac{x}{3}$ $\times$ $\frac{1}{2}$ = $\frac{x}{6}$ $\frac{x}{6}$ $\times$ $\frac{1}{2}$ = $\frac{x}{12}$ To find the next term in the sequence, you must divide the last term by 2 (or multiply by $\frac{1}{2}$): $\frac{x}{12}$ $\times$ $\frac{1}{2}$ = $\frac{x}{24}$
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