# Lesson 7 What Comes Next? What Comes Later? Practice Understanding

Find the common ratio for each geometric sequence.

### 1.

### 2.

### 3.

### 4.

Fill in the blanks for each table and identify the type of sequence. Then write the recursive and explicit equation for each sequence.

### 5.

#### a.

#### b.

Type of sequence:

#### c.

Recursive:

#### d.

Explicit:

### 6.

#### a.

#### b.

Type of sequence:

#### c.

Recursive:

#### d.

Explicit:

### 7.

#### a.

#### b.

Type of sequence:

#### c.

Recursive:

#### d.

Explicit:

### 8.

#### a.

#### b.

Type of sequence:

#### c.

Recursive:

#### d.

Explicit:

Add two more points on the graph that fit with the sequence, identify the type of sequence, and write the recursive and explicit equation for each sequence.

### 9.

#### a.

#### b.

Type of sequence:

#### c.

Recursive:

#### d.

Explicit:

### 10.

#### a.

#### b.

Type of sequence:

#### c.

Recursive:

#### d.

Explicit:

Write the recursive and explicit functions for each arithmetic sequence for problems 11–15. Then, graph each sequence, making sure you clearly label the axes.

### 11.

#### a.

Recursive:

#### b.

Explicit:

#### c.

Graph:

### 12.

Time (days) | Number of cells |
---|---|

#### a.

Recursive:

#### b.

Explicit:

#### c.

Graph:

### 13.

Claire has

#### a.

Recursive:

#### b.

Explicit:

#### c.

Graph:

### 14.

Each day Tania decides to do something nice for two strangers. What is the relationship between the total number of people helped and days?

#### a.

Recursive:

#### b.

Explicit:

#### c.

Graph:

### 15.

#### a.

Recursive:

#### b.

Explicit:

#### c.

Graph: