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: