Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - Concept Byte - Page 454: 10


The common ratio is $\frac{1}{4}$. The next three numbers in the sequence are: 1 , $\frac{1}{4}$, $\frac{1}{16}$

Work Step by Step

The common ratio is $\frac{1}{4}$ because each number in the sequence is $\frac{1}{4}$ times more than the number before. In other words, each number in the sequence is multiplied by $\frac{1}{4}$. To find the next three numbers, simply multiply the last known number by $\frac{1}{4}$ and then continue the pattern: 4 x $\frac{1}{4}$ = 1 1 x $\frac{1}{4}$ = $\frac{1}{4}$ $\frac{1}{4}$ x $\frac{1}{4}$ = $\frac{1}{16}$
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