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Worksheets

Sequences

Total questions: 20

Worksheet time: 12mins

Name
Class
Date
1.

What are the next three terms in the sequence 2, 9, 16, 23, 30, . . . ?

a)

37, 43, 50

b)

37, 44, 51

c)

37, 43, 50

d)

37, 44, 50

2.

What is the next term in the sequence  4, 414, 412, 434, ...4,\ 4\frac{1}{4},\ 4\frac{1}{2},\ 4\frac{3}{4},\ ... ?

a)

 4444\frac{4}{4}  

b)

5

c)

 5145\frac{1}{4}  

d)

 5125\frac{1}{2}  

3.

The next three terms in the sequence 49, 44, 39, 34, 29, … are

(a)  

4.

Choose the next two terms of the sequence 1, 4, 9, 16, 25, …

a)

30

b)

36

c)

40

d)

49

5.

Which of the following are the next two terms in the sequence A, D, G, J, …?

a)

L, M

b)

M, N

c)

M, P

d)

O, P

6.

Which of the following are the next two terms of the sequence 0.5, 1.5, 4.5, 13.5, …?

a)

40.5, 80.5

b)

41.5, 123.5

c)

40.5, 121.5

d)

41.5, 120.5

7.

Choose the next two terms of the sequence 1, 8, 27, 64, 125, …

a)

216

b)

343

c)

512

d)

789

8.

What is the next term of the sequence 4, -12, 36, -108, …?

a)

300

b)

-324

c)

324

d)

-325

9.

What is the next term of the sequence 23, 13, 16, 112, ...?\frac{2}{3},\ \frac{1}{3},\ \frac{1}{6},\ \frac{1}{12},\ ...?  


a)

 116\frac{1}{16}  

b)

 124\frac{1}{24}  

c)

 136\frac{1}{36}  

d)

 148\frac{1}{48}  

10.

What is the next term of the sequence J, F, M, A, M, J, J, ...?

a)

A

b)

S

c)

O

d)

N

11.

Given an=7n + 5, a_n=7n\ +\ 5,\  what is its  15th15^{th}  term?


a)

100

b)

105

c)

110

d)

115

12.

Given an=2n 7, a_n=2n\ -7,\   what is its  29th29^{th}  term?

a)

51

b)

55

c)

58

d)

61

13.

Given 𝑎n=12n, 𝑎_n=12-n,\   what is its  50th50^{th}  term?

a)

-40

b)

-38

c)

-36

d)

-34

14.

Given an=n2+3,a_n=n^2+3,  find  a16a_{16} 

a)

256

b)

259

c)

302

d)

305

15.

Given an= 2n3,a_n=\ 2n^3,  find  a6a_6  and a8a_8 

a)

432 and 1020

b)

430 and 1024

c)

432 and 1024

d)

430 and 1020

16.

What are the first five terms of the sequence

 an=7n + 5a_n=7n\ +\ 5 

a)

12, 19, 26, 33, 40

b)

12, 19, 25, 33, 40

c)

13, 19, 26, 33, 40

d)

13, 19, 25, 33, 40

17.

Choose the first three terms of the sequence

 an=2n7a_n=2n-7 .

a)

-5

b)

-3

c)

-1

d)

1

18.

What are the third and fourth terms of the sequence

 an=12na_n=12-n ? Choose all correct answers.

a)

9

b)

8

c)

7

d)

6

19.

What are the first three terms of the sequence

 an=n2+3a_n=n^2+3 

a)

4, 7, 12

b)

4, 8, 16

c)

4, 9, 16

d)

4, 12, 36

20.

What are the second and third terms of the sequence

 an=2n3a_n=2n^3 

a)

16 and 54

b)

16 and 18

c)

12 and 54

d)

12 and 18