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

Ready

Find the common ratio for each geometric sequence.

1.

, , , ,

2.

, , ,

3.

, , , ,

4.

, , ,

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.

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.

a scatter graph with points in a negative slope x555y555101010000

b.

Type of sequence:

c.

Recursive:

d.

Explicit:

10.

a.

a scatter graph with points in a positive slope x555y555000

b.

Type of sequence:

c.

Recursive:

d.

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.

11.

, , , ,

a.

Recursive:

b.

Explicit:

c.

Graph:

a blank 17 by 17 grid

12.

Time (days)

Number of cells

a.

Recursive:

b.

Explicit:

c.

Graph:

a blank 17 by 17 grid

13.

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

a.

Recursive:

b.

Explicit:

c.

Graph:

a blank 17 by 17 grid

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:

a blank 17 by 17 grid

15.

a pattern of dots: day one has 6 dots, day 2 has 12 dots, and day 3 has 18 dots Day 1Day 2Day 3

a.

Recursive:

b.

Explicit:

c.

Graph:

a blank 17 by 17 grid