Explicit and Recursive Rules

Write a Next/Now rule for the table.

• Next=Now + 4 Starting at 2

• Next=Now + 4 Starting at 0

• Next=Now × 3 Starting at 2

• Next=Now × 3 Starting at 0

Write a Next/Now rule for the table

• Next=Now - 16 Starting at 32

• Next=Now - 16 Starting at 0

• Next=Now ÷ 4 Starting at 0

• Next=Now × ½ Starting at 32

Write a Next/Now rule for the table.

• Next=Now + 5 Starting at 0

• Next=Now + 5 Starting at 3

• Next=Now × 2 Starting at 3

• Next=Now - 5 Starting at 3

Create a NEXT/NOW statement for the following sequence: 
4, 12, 36, ....

• NEXT = NOW + 3, Starting at 4

• NEXT = NOW + 8, Starting at 4

• NEXT = 3*NOW, Starting at 4

• NEXT = 3*NOW, Starting at 0

These patterns have rules that tells you how to find the term value for any term in the pattern using an equation. (Ex. y=x+2)

• Explicit Pattern

• Growing Pattern

• Recursive Pattern

• Pattern

These patterns have rules that tell you the beginning number of a pattern and how the pattern continues. (Ex. Start at 2 and add 3 to each term.)

• Explicit Pattern

• Shrinking Pattern

• Recursive Pattern

• Pattern

Write the explicit formula for the sequence shown below.

• a_n=3+6(n-1)

• a_n=3−6(n-1)

• a_n=6−3(n-1)

• a_n=6+3(n-1)

For the sequence shown below, use the explicit formula to find the 57^th term.

• -266

• -265

• -267

• -260

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

• 20, 100, 500, 2500

• 5, 20, 80, 320

• 4, 20, 100, 500

• 4, 9, 14, 19

Given the sequence: 125, 25, 5, .... Write the rule a_n using the geometric sequence formula:

• a_n = (125)(1/5)^(n-1)

• a_n = 625(1/5)^(n-1)

• a_n = 625(5)^(n-1)

• a_n = 125 + 5n