Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

6.1 Arithmatic and Geometric Sequences

Total questions: 15

Worksheet time: 1hrs 15mins

Name
Class
Date
1.
Which kind of sequence has a common ratio?
a)
Arithmetic
b)
Geometric
2.
Which kind of sequence has a common difference?
a)
Arithmetic
b)
Geometric
3.
Is this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}
a)
Arithmetic
b)
Geometric
c)
Neither
4.
Identify the common difference.
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
5.

What is the common ratio: 5, 25, 125, 625...

a)
25
b)
20
c)
5
d)
4
6.

Which sequence is an arithmetic sequence?

a)

3, 6, 2, 7, ...

b)

3, 6, 12, 24, ...

c)

3, 6, 10, 15, ...

d)

3, 7, 11, 15, ...

7.

This is an arithmetic sequence. 5, 2, –1, –4, . . .

What is a7 (7th term) ?

a)

-13

b)

-11

c)

-18

d)

-22

8.

Create the explicit formula for the arithmetic sequence: 2, 8, 14, ...

a)

an=2+6(n-1)

b)

an=2+6(n-1)

c)

an=6(n-2)

d)

an=14-6(n - 1)

9.
You have $10 in you bank account.  It doubles every month.  How much money will you have after 5 months?
a)
$50
b)
$35
c)
$320
d)
$250
10.

What is a5 (5th term) in the sequence defined as follows? an = 5 ⋅ 2(n-1) 

a)
a5 = 160
b)
a5 = 40
c)
a5 = 10
d)
a5 = 80
11.

What is the explicit rule for the geometric sequence: 11, 22, 44, 88...

a)

an = 2(11)n-1

b)

an = 11(2)

c)

an = 11(2)n-1

12.

What is the 38th term of this arithmetic sequence? {26, 22, 18, 14, ... }

a)
-4
b)
10
c)
-122
d)
174
13.
What is the common ratio of this sequence?
{2, 10, 50, 250, ... }
a)
1,250
b)
5
c)
10
d)
50
14.

Write the explicit formula for the sequence.


9, 5, 1, -3, ...

a)

an=9+5(n−1)a_n=9+5\left(n-1\right)

b)

an=9−4(n−1)a_n=9-4\left(n-1\right)

c)

an=4+9(n−1)a_n=4+9\left(n-1\right)

d)

an=9⋅4(n−1)a_n=9\cdot4^{\left(n-1\right)}

15.

What is the eleventh term of an arithmetic sequence in which a1 = 3 and d = 6?

a)

63

b)

39

c)

69

d)

36