### Home > CAAC > Chapter 4 > Lesson 4.1.1 > Problem 4-7

4-7.

Use your pattern-finding techniques to fill in the missing entries for the table below. Then find a rule for the pattern. 4-7 HW eTool (Desmos). Homework Help ✎

IN ( | 4 | 8 | 3 | −2 | −6 | 0 | 5 | 7 |

OUT ( | 17 | 65 | 10 | 5 | 1 | 26 |

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

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?