1. Math-7 NOTES
DATE: ______/_______/_______
What: sequences
Why: To identify the common difference or ratio in a sequence and determine
whether or not the sequence is arithmetic, geometric, or neither.
NAME:
Arithmetic Sequence— goes from one term to the next term by always adding or _____________________ the same value. We call this the common __________________________.
Geometric Sequence— goes from one term to the next term by always multiplying or __________________ by the same value. We call this the common _________________.
Sequence
Rule
(Common
Diff. or Ratio)
What
Comes next?
Arithmetic or
Geometric?
Variable
Expression
1) , 3, 11,
2) 5, 10, 20,
3) , 10, 4,
4) , 20, 5, 5/
1, 2, 4, 7,
1/9, 3/9, 1,
1, 1, 2, 2, 3,
1, -3, 9,
1/10, 3/10, 5/
1, 1, 2, 3, 5, 8,

2. Multiple Choice:
Which of the following
sequences is an arithmetic sequence?
3, 9,
1, 3, 6, 10,
52, 49, 46,
What would be the 5th term of the
following geometric sequence?
1, 5,
125
625 30
3) Which of the following
sequences is a geometric sequence?
27, 9, 3,
1, 2, 6,
2, 4, 6,
4) What would be the 7th term of the
following arithmetic sequence?
1, 4, 7, 13 19 22
5) Which of the following sequences is neither a geometric nor an arithmetic sequence?
10, 20, 30,
1, 2, 3, 2, 4, 2, 5, 2, . . .
1/10, 2/10, 3/
What is the common difference in the following arithmetic sequence?
10, 6, 2, 4 -4
7) What is the common ratio in the following geometric sequence?
1, -2, 4, -8, -2 2
Which variable expression describes the relationship between any two consecutive terms in the following sequence? , 4, -16, 4n
-4n
¼ n
9) Which variable expression describes the relationship between any two consecutive terms in the following sequence? , -4, 4, 12,
n – 4
n + 4
What is the common ratio in the following geometric sequence?
88, 44, 22, 11, 11/
- ½

3. Math- 7 PRACTICE “sequences” NAME:__________________________
DATE: ______/_______/_______
NAME:__________________________
Math- 7 PRACTICE
“sequences”
For the following sequences, describe the “rule” AND identify the next term:
What is the 8th term in the following sequence?
3, 9, 27, 81, 243,
What is the 6th term of the geometric sequence shown?
80, 40,
What is the common difference of the arithmetic sequence shown?
-5, -1, 3,
What is the common ratio of the geometric sequence shown?
729, 243, 81, 27,
Write a variable expression that can be used represent the relationship between two
consecutive terms of the following sequence:
8, 12, 16,
What is the missing tem in this sequence?
1, 5, 25, ____, 625, ….
6, 12, 18, 24,… _____
2) 1, 4, 16, 64, … _____
3) 72, 36, 18, 9,…_____
9, 18, 27, 36, 45,…_____
5) 0.2, 0.4, 0.8, 1.6,…_____
6) 1, 3, 9, 27,…_____
7) 0, 16, 32, 48, 64…._____
8) , 2.3, 3.4, 4.5, …._____
9) 3, 7, 11, 15…._____
10) 128, 32, 8, 2, …._____
11) 2 , -6, 18, -54,…_____
7, 7, 7, 7,…______

4. Math- 7 PRACTICE “sequences” DATE: ______/_______/_______
NAME:__________________________
Math- 7 PRACTICE
“sequences”
Match each sequence with the variable expression that describes the relationship between the consecutive terms of the sequence.
13. Which of the above problems are arithmetic sequences? _________________________
14. Which of the above problems are geometric sequences? _________________________
1. ____
2, 4, 6, 8, 10, …
A. n + 10
2. ____
1, 3, 9, 27, 71
B. 1/3 n
3. ____
45, 41, 37, 32, 29, ….
C n
4. ____
11, 21, 31, 41, 51, ….
D. n + 5
5. ____
10, 5, 2.5, 1.25, 0.625, ….
E. n + 2
6. ____
11, 3, -5, -13, -21, ….
F n
7. ____
100, 20, 4, 0.8, 0.16,…..
G. n + (-2)
8. ____
7, 10.5, , , , …..
H . n + (-4)
9. ____
36, 12, 4, 1.333, ….
I n
10. ____
-3, -6, -12, -24, -48,
J n
11. ____
-80, -75, -70, -65, -60, ….
K. n + (-8)
12. ____
1, -1, -3, -5, ….
L. 2n