WorksheetsGeometric Sequences
Total questions: 10
Worksheet time: 31mins
Name
Class
Date
1.
What is the common ratio of this sequence ? 5, 25, 125, ...
a)
4
b)
2
c)
5
d)
6
2.
What is the common ratio of the geometric sequence -1, 6, -36, 216, ...?
a)
-6
b)
6
c)
12
d)
-4
3.
Find the common ratio: 64, -16, 4, -1, ...
a)
r = -8
b)
r = -1/4
c)
r = -4
d)
r = 4
4.
Solving for the nth term of geometric sequence, given that a1 = 1 and r= 2, what is the value of the 4th term?
a)
2
b)
8
c)
4
d)
16
5.
Write the explicit formula for the geometric sequence.
a)
an = 10(2)n-1
b)
an = 2(10)n-1
c)
an = 10(2)n
d)
an = 2(10)n
6.
Write the explicit formula for the geometric sequence.
a)
an = 4(3)n-1
b)
an = 3(4)n-1
c)
an = -4(3)n-1
d)
an = 3(-4)n-1
7.
Find the 9th term in the following geometric sequence:
4, 8, 16, 32, ...
a)
384
b)
512
c)
768
d)
1,024
8.
What is the 11th term of the geometric sequence?
a)
-5120
b)
97,656,250
c)
19,531,250
d)
-19,531,250
9.
Given the sequence:
125, 25, 5, ....
Write the rule an using the geometric sequence formula:
a)
an = (125)(1/5)(n-1)
b)
an = 625(1/5)(n-1)
c)
an = 625(5)(n-1)
d)
an = 125 + 5n
10.
A geometric sequence has a common ration(r) of 3 and the 8th term (a8) is 13,122. What is the first term of the sequence (a1)?
a)
3
b)
6
c)
18
d)
2
100 %
