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Worksheets

sequences

Total questions: 25

Worksheet time: 50mins

Name
Class
Date
1.

Identify the next three terms of the sequence below:

-6, -10, -14,...

a)

-17, -21, -25

b)

17, 21, 25

c)

18, 22, 26

d)

-18, -22, -26

2.

What is the 20th term of the arithmetic sequence shown below.

7, 4, 1,...

a)

-49

b)

50

c)

-50

d)

-51

3.

An arithmetic sequence is described by the function f(n)=−3n+7. What are the first 5 terms of the sequence?

a)

7, 10, 13, 16, 19

b)

4, 1, -2, -5, -8

c)

-4, -1, 2, 5, 8

d)

-7, -10, -13, -16, -19

4.

Write a formula for the following sequence:

5, 8, 11, 14, 17...

a)

an = 3n + 2

b)

an = 8 - 5n

c)

an = 5(3)n-1

d)

an = 5 + 3n

5.

Write a formula for the following sequence:

2, 8, 14, ...

a)

an = 2 + 6n

b)

an = - 6 + 6n

c)

an = 6n - 4

d)

an = 4 - 6n

6.

What is the 100th term in the sequence an = 4n-12

a)

388

b)

40012

c)

-388

d)

100

7.

256, 128, 64, 32, ...

What's next?

a)

24

b)

18

c)

16

d)

8

8.
What is the 15th term of the sequence an = -3n+50
a)
95
b)
-5
c)
5
d)
-95
9.
What is the 10th term of the sequence an = 20-2n
a)
40
b)
-20
c)
7
d)
0
10.
Find the 22nd term of the following sequence:
5, 8, 11, ...
a)
14
b)
68
c)
63
d)
71
11.
Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it.)
a)
an=2+6n
b)
an=-6+6n
c)
an=6n-4
d)
an=4-6n
12.
Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.  (Hint:  Simplify your equation.)
a)
an = 4n + 29
b)
an = -4n + 25
c)
an = -4n + 29
d)
an = 4n + 25
13.
Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...
a)
-1, 7, 15
b)
-5, 2, 9
c)
3, 12, 21
d)
-65, -73, -81
14.
The next two terms of the sequence 4,7,10,13 are ....
a)
16 and 19
b)
15 and 19
c)
16 and 18
d)
15 and 18
15.
What is the 10th term of the sequence an = 20-2n
a)
40
b)
-20
c)
7
d)
0
16.
If there are 10 seats in the first row in a theater and 13 seats in the second row and 16 seats in the third row, how many seats are in the 17th row?
a)
58
b)
61
c)
48
d)
none of the above
17.
What is the Rule for this sequence?
3, 7, 11, 15, ...
a)
+6
b)
+5
c)
+4
d)
+2
18.
What is the Rule for this sequence?
97, 86, 75, 64, ...
a)
+8
b)
+11
c)
-11
d)
-8
19.
Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...
a)
63, 72, 81
b)
79, 88, 97
c)
70, 79, 88
d)
61, 70, 79
20.
What are the next 2 terms:
1/3, 2/3, 1, 4/3...
a)
2 and 7/3
b)
5/3 and 2
c)
5/3 and 7/3
d)
none of the above
21.
What are the first 3 terms of the sequence whose nth term is: 5n-4
a)
1, 6, 11, 16, 21
b)
5, 4, 3
c)
-4, 1, 6
d)
1, 6, 11
22.
Find the nth term of...
3,5,7,9...
a)
2n+1
b)
2n-1
c)
2n+2
d)
2n-2
23.
Find the nth term of...
2,1,0,-1... 
a)
-3n+1
b)
-n+3
c)
-2n+4
d)
-4n+2
24.

continue this sequence;

-15, -10, -5, 0,...

a)

15, 10

b)

5, 15

c)

10, 15

d)

5, 10

25.

continue this sequence;

3.5; 5.5; 9.5; 17.5; .....

a)

33.5; 65.5

b)

22.5; 33.5

c)

21.5; 32.5

d)

33.5; 44.5