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

Find the common ratio for each geometric sequence.

, , , ,

, , ,

, , , ,

, , ,

## Set

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.

 $x$ $y$ $1$ $2$ $3$ $4$ $5$ $15$ $18$ $21$

#### b.

Type of sequence:

Recursive:

Explicit:

### 6.

#### b.

Type of sequence:

Recursive:

Explicit:

### 7.

#### b.

Type of sequence:

Recursive:

Explicit:

### 8.

#### b.

Type of sequence:

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.

#### b.

Type of sequence:

Recursive:

Explicit:

### 10.

#### b.

Type of sequence:

Recursive:

Explicit:

## Go

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.

, , , ,

Recursive:

Explicit:

Graph:

Time (days)

Number of cells

Recursive:

Explicit:

Graph:

### 13.

Claire has in an account. She decides she is going to take out each month.

Recursive:

Explicit:

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?

Recursive:

Explicit:

Graph:

Recursive:

Explicit:

Graph: