Lesson 6 Home on the Range Solidify Understanding

Ready

Find the missing values for each arithmetic or geometric sequence. Select whether it has a constant difference or a constant ratio. State the value of the constant difference or ratio. Indicate if the sequence is arithmetic or geometric by selecting the correct answer.

1.

a.

, , , , , , ,

b.

Common difference or ratio?

c.

Common difference or ratio =

d.

Arithmetic or geometric?

2.

a.

, , , , ,

b.

Common difference or ratio?

c.

Common difference or ratio =

d.

Arithmetic or geometric?

3.

a.

, , , , , ,

b.

Common difference or ratio?

c.

Common difference or ratio =

d.

Arithmetic or geometric?

4.

a.

, , , , ,

b.

Common difference or ratio?

c.

Common difference or ratio =

d.

Arithmetic or geometric?

Set

Determine whether the given information represents an arithmetic or geometric sequence. Then write the recursive and the explicit equation for each.

5.

, , , ,

a.

Arithmetic or geometric?

b.

Recursive:

c.

Explicit:

6.

, , , ,

a.

Arithmetic or geometric?

b.

Recursive:

c.

Explicit:

7.

Time

(in days)

Number of dots

a.

Arithmetic or geometric?

b.

Recursive:

c.

Explicit:

8.

Time

(in days)

Number of cells

a.

Arithmetic or geometric?

b.

Recursive:

c.

Explicit:

9.

Cami invested into an account that earns interest each year.

a.

Arithmetic or geometric?

b.

Recursive:

c.

Explicit:

10.

Scott decides to add running to his exercise routine and runs a total of one mile his first week. He plans to double the number of miles he runs each week.

a.

Arithmetic or geometric?

b.

Recursive:

c.

Explicit:

Go

Find the indicated outputs.

11.

a.

b.

12.

a.

b.

13.

a.

b.

14.

a.

b.

15.

a.

b.