Algebra 2 Common Core

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

Chapter 1 - Expressions, Equations, and Inequalities - 1-1 Patterns and Expressions - Practice and Problem-Solving Exercises - Page 9: 37

Answer

$21$, $4n+1$

Work Step by Step

Let $n$ be input and $y$ be output. From the given table we notice that the pattern is the following: $$y = 4n + 1$$ We calculate the output for $n = 5$: $$y=4(5)+1=21$$ Now we complete the table: \[ \begin{array}{|c|c|} \hline \textbf{Input} & \textbf{Output}\\ \hline 1& 5 \\ \hline 2 & 9\\ \hline 3 & 13 \\ \hline 4 & 17 \\ \hline 5 & 21 \\ \hline : & : \\ \hline n & 4n+1 \\ \hline \end{array} \]
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