Recursive and Explicit Geometric Sequences

Write a Next/Now rule for the table.

• Next=Now + 6 Starting at 2

• Next=Now + 6 Starting at 0

• Next=Now × 4 Starting at 2

• Next=Now × 4 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

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

The next two terms of the sequence 2,-4, 8,-16 are

• 32, 64

• 32, -64

• -64, 108

• 32, 20

• 2

• 0.0625

• 4

• 1

• 0.5

• 0.25

• 0.125

Find the common ratio: 64, -16, 4, -1, ...

• r = -8

• r = -1/4

• r = -4

• r = 4

Write the explicit formula for the sequence given by 3, 6, 12, 24, …

• ^a_n= 3(2)^n-1

• ^a_n= 3+(2)ⁿ

• ^a_n= 3(2)ⁿ

• ^a_n= 3+(2)^n-1

Write a recursive formula for the following sequence: 16,8, 4, 2,...

• a₁=16

  a_n=a_n-1 (2)

• a₁=16

  a_n=a_n-1 (1/2)

• a₁=16

  a_n=a_n-1 + (1/2)

• a₁=16

  a_n=a_{n-1 +} (2)

What is the common ratio of the sequence: 16, -8 , 4, -2...

Given the explicit formula, find the 3rd term

• 6

• 12

• 3

• 1.5