1. Find the next two numbers in the pattern
Find the next two numbers in the pattern . Then describe the rule to determine the pattern.
1, 3, 5, 7, 9, 11, _____, ______
-2, -4, -6, -8, -10, -12, ______, ______
.2, 1, 5, 25, 125, 625, ______, _______
512, 256, 128, 64, 32, 16, ______, ______
2, 5, 8, 11, 14, 17, _____, ______

2. 2, 5, 8, 11, 14, 17, _____, ______ This is called a sequence—
(an ordered list of numbers)
Each number is called a term

3. Describe the pattern & find the next three terms
27, 34, 41, 48, ____, _____, _____
243, 81, 27, 9, ____, ____, _____

4. Describe the pattern & find the next three terms
Suppose you drop a ball from a height of 100 cm. It bounces back to 80% of its previous height. How high will it go after its 5th bounce?

5. Suppose you drop a handball from a height of 10 feet
Suppose you drop a handball from a height of 10 feet. After the ball hits the floor, it rebounces to 85% of its previous height. How high will the ball rebound after its fourth bounce?

6. Recursive Formula
Defines the terms in a sequence by relating each term to the one before it.
Describe the pattern that allows you to find the next term in the sequence –
2, 6, 18, 54, 162…..
Write a recursive formula for the sequence

7. Write a recursive formula for the sequence.
144, 36, 9, 9/4

8. Explicit Formula– a formula expressed in the nth term in terms of n
The table shows the perimeter of squares with sides from 1 to 6 units long. The numbers in each row form a sequence.
Length of side 1 2 3 4 5 6
Perimeter 8 12 16 20 24
a. For each sequence, find the next term (a7) and the twenty-fifth (a25).
b. Write an explicit formula for the sequence.