### Home > CC3MN > Chapter 4 > Lesson 4.1.1 > Problem4-11

4-11.

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

 $\text{IN}(x)$ in (x) column 1$4$ in (x) column 2$8$ in (x) column 3$3$ in (x) column 4$-2$ in (x) column 5$-6$ in (x) column 6$0$ in (x) column 7$5$ in (x) column 8$7$ $\text{OUT}(y)$ out (y) column 1$17$ out (y) column 2$65$ out (y) column 3$10$ out (y) column 4$5$ out (y) column 5 is blank out (y) column 6$1$ out (y) column 7$26$ out (y) column 8 is blank

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

$17=4^2+1$
$65=8^2+1$
$10=3^2+1$
$y=x^2+1$
 $\text{IN}(x)$ in (x) column 1$4$ in (x) column 2$8$ in (x) column 3$3$ in (x) column 4$-2$ in (x) column 5 $-6$ in (x) column 6 $0$ in (x) column 7$5$ in (x) column 8$7$ $\text{OUT}(y)$ out (y) column 1$17$ out (y) column 2$65$ out (y) column 3$10$ out (y) column 4$5$ out (y) column 5 $\mathbf{37}$ out (y) column 6$1$ out (y) column 7$26$ out (y) column 8$\mathbf{50}$