Lesson 1.4 • Graphing Sequences
Name
Period
Date
1. Write five ordered pairs that represent points on the graph of each
sequence.
a. u0 2
un un1 8
where n 1
c. u0 = 0
un 2.5un1 10
e. u0 60
where n 1
un 0.75un1 15
where n 1
b. u0 10
un 0.1un1 where n 1
d. u0 150
un 0.8un1 10
f. u0 250
un 1.2un1 25
where n 1
where n 1
2. Identify each graph as a representation of an arithmetic sequence, a
geometric sequence, or a shifted geometric sequence. Use an informed
guess to write a recursive rule for each.
a.
b.
un
100
100
0
c.
10
n
0
d.
un
10
n
un
100
100
0
un
10
n
0
10
n
3. Imagine the graphs of the sequences generated by these recursive
formulas. Describe each graph using exactly three of these terms:
arithmetic, geometric, shifted geometric, linear, nonlinear, increasing,
decreasing.
a. u0 50
un un1 10
c. u0 35
un un1 1.75
where n 1
where n 1
e. u0 5.0
un 0.1 un1 where n 1
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b. u0 1000
un 0.7un1 100
where n 1
d. u0 150
un (1 0.15)un1 where n 1
f. u0 88
un (1 0.3)un1 10
where n 1
CHAPTER 1
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