# Sequences Study Guide

```Name _____________________ Date ____________ Block ___________ Grade______
Sequences Study Guide
6.17 Sequences: student will identify and extend geometric and arithmetic sequences.
1. Identify the sequence.
2. Identify the sequence.
23, 16, 9, 2,…
1, 4, 9, 16, 25…
A. Arithmetic
B. Geometric
C. Neither
A. Arithmetic
B. Geometric
C. Neither
3. What is the next term in the sequence
below?
625, 125, 25, 5,…
4. If the common ratio is 4, what kind of
sequence is given?
A. Arithmetic
B. Geometric
D. Neither
5. Naomi is selling newspapers. On Monday
she sold 6 newspapers, on Tuesday she
sold 10 newspapers, on Wednesday she
sold 14 newspapers. If this pattern
continues, how many newspapers did she
sell on Friday?
6. Write an arithmetic sequence that starts at
25 and has a common difference of -4.
7. The table shows the amount of money
Samantha charges per hour for babysitting.
How much will
Time
Dollars
she charge for 7
(hours)
hours of
1
\$5.50
babysitting?
2
\$11.00
8. Shawn keeps track of when the Olympics
are on. The summer Olympics occur every
four years. According to his table, when
are the next three times that the summer
Olympics will occur?
3
\$16.50
4
\$22.00
5
\$27.50
_____, _____, _____, ____, _____,_____
Year
1
2
3
4
5
6
6
7
9. Identify the common difference in the
following sequence:
50, 45, 40, 35, 30
a) 5
b) -5
c) 3
1
d) 5
Olympic Year
2000
2004
2008
10. Identify the common ratio in the
following sequence:
1000, 100, 10, 1, 0.1
a)
b)
c)
d)
900
-900
10
0.1
```