### Home > AC > Chapter 4 > Lesson 4.1.1 > Problem4-7

4-7.

Use your pattern-finding techniques to fill in the missing entries for the table below. Then find a rule for the pattern.

 IN ($x$) $4$ $8$ $3$ $−2$ $−6$ $0$ $5$ $7$ OUT ($y$) $17$ $65$ $10$ $5$ $1$ $26$

What is $4^2$?
What about $8^2$?
$3^2$?

$17=4^2+1$
$65=8^2+1$
$10=3^2+1$
Can you follow the pattern?

$\left. \begin{array} { | c | c | c | c | c | c | c | c | } \hline \text { IN (x) } & { 4 } & { 8 } & { 3 } & { - 2 } & { - 6 } & { 0 } & { 5 } & { 7 } \\ \hline \text { OUT (y) } & { 17 } & { 65 } & { 10 } & { 5 } & { 37 } & { 1 } & { 26 } & { 50 } \\ \hline \end{array} \right.$

Use the eTool below to help you find a rule for the pattern.
Click the link at right for the full version of the eTool: AC 4-7 HW eTool