# Lesson 6Home on the RangeSolidify 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.

, , , , , , ,

#### b.

Common difference or ratio?

#### c.

Common difference or ratio =

#### d.

Arithmetic or geometric?

### 2.

, , , , ,

#### b.

Common difference or ratio?

#### c.

Common difference or ratio =

#### d.

Arithmetic or geometric?

### 3.

, , , , , ,

#### b.

Common difference or ratio?

#### c.

Common difference or ratio =

#### d.

Arithmetic or geometric?

### 4.

, , , , ,

#### 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?

Recursive:

Explicit:

### 6.

, , , ,

#### a.

Arithmetic or geometric?

Recursive:

Explicit:

### 7.

Time

(in days)

Number of dots

#### a.

Arithmetic or geometric?

Recursive:

Explicit:

### 8.

Time

(in days)

Number of cells

#### a.

Arithmetic or geometric?

Recursive:

Explicit:

### 9.

Cami invested into an account that earns interest each year.

#### a.

Arithmetic or geometric?

Recursive:

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?

Recursive:

Explicit:

## Go

Find the indicated outputs.