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Arithmetic sequences

Total questions: 11

Worksheet time: 48mins

Name
Class
Date
1.

Is this an Arithmetic sequence? 5, 4.25, 3.5, 2.75

a)

Yes

b)

No

2.
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
3.
Identify the common difference. 
10, 20, 30, 40, ...
a)
5
b)
10
c)
15
d)
20
4.

Given the sequence:

25, 21, 17, 13,...

Write the general term that models the sequence.

a)

an = 4n + 29

b)

an = -4n + 25

c)

an = -4n + 29

d)

an = 4n + 25

5.

Given the sequence:

25, 21, 17, 13,...

Write the general term that models the sequence. (Hint: Simplify your equation.)

a)

an = 4n + 29

b)

an = -4n + 25

c)

an = -4n + 29

d)

an = 4n + 25

6.
Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...
a)
81
b)
-34
c)
-146
d)
-225
7.

Find the twentieth (20th) term of the sequence 1, -1, -3, -5, ....

a)

-37

b)

-38

c)

-40

d)

-39

8.

Find the first term and the difference of an arithmetic sequence, knowing that a5 = 9 and a25= -31.

a)

a1= 16 and d=-1

b)

a1=17 and d=2

c)

a1=17 and d= -2

d)

a1=16 and d=2

9.

Knowing that the first term of an arithmetic sequence is 5, the difference is 8 and the nth term is 205, find the number of terms of the sequence.

a)

150

b)

25

c)

26

d)

20

10.

Calculate the sum of the multiples of 2 between 1 and 100. (starting at 2)

a)

2500

b)

2550

c)

5100

d)

3000

11.

In a test the first question was worth two points and each of the following questions was worth four points more than the previous one. If there are 25 questions in total, how many points is the exam worth?

a)

1300

b)

1100

c)

1200

d)

1250