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WorksheetsGeometric Sequences
Total questions: 21
Worksheet time: 5hrs 15mins
Name
Class
Date
1.
Find the common ratio for the geometric sequence.
a)
10
b)
1/2
c)
2
d)
4
2.
What are the next 3 terms in the following geometric sequence:
512, 256, 128, ___, ___, ___, ...
a)
1024, 2048, 4096
b)
32, 8, 2
c)
64, 32, 16
d)
92, 66, 38
3.
Is the sequence 2, 4, 12, 48,... geometric?
a)
yes
b)
no
4.
Find the common ratio: 64, -16, 4, -1, ...
a)
r = -8
b)
r = -1/4
c)
r = -4
d)
r = 4
5.
Find the common ratio: 4, -16, 64, -256, ...
a)
r = -4
b)
r = 2
c)
r = -2
d)
r = 4
6.
Determine whether the sequence is arithmetic, geometric, or neither.
a)
arithmetic
b)
geometric
c)
neither
7.
Determine whether the sequence is arithmetic, geometric, or neither.
a)
arithmetic
b)
geometric
c)
neither
8.
Find the common ratio for the geometric sequence.
a)
1
b)
-1
c)
7
d)
-7
9.
What is the common ratio for the sequence:
28, 14, 7, 3.5...
28, 14, 7, 3.5...
a)
2
b)
1/2
c)
-14
d)
-7
10.
Find the next three terms: 4, 12, 36, 108, ...
a)
324, 972, 2916
b)
972, 2916, 8748
c)
405, 1215, 3645
11.
Find the next three terms: -4, -12, -36, -108, ...
a)
36, -108, 324
b)
-324, -972, -2916
c)
324, -972, 2916
d)
-108, 324, -972
12.
Which formula is used to find the explicit equation for geometric sequences?
a)
an = an-1 + d
b)
an = an-1 * r
c)
an = a1 + d(n-1)
d)
an = a1 * rn-1
13.
Which formula is used to find the recursive equation for geometric sequences?
a)
an = an-1 + d
b)
an = an-1 * r
c)
an = a1 + d(n-1)
d)
an = a1 * rn-1
14.
Given the sequence:
125, 25, 5, ....
Write the explicit rule:
125, 25, 5, ....
Write the explicit rule:
a)
t(n) = (125)(5)(n)
b)
t(n) = 625(1/5)(n)
c)
t(n) = 625(5)(n)
d)
t(n) = 125 + 5n
15.
Find the general rule for: 64, -32, 16, -8, …
a)
64(1/2)n-1
b)
(-32)n-1
c)
64(-1/2)n-1
d)
(32)n-1
16.
Write an explicit rule for the general term of the sequence 5, 15, 45, . . . ?
a)
an = an-1 x 3
b)
an = 5(3)n-1
c)
an = 3(5)n-1
d)
an = 5 + (n-1)3
17.
Find the 11th term for: 64, -32, 16, -8, …
a)
-.0625
b)
.0625
c)
-.03125
d)
.03125
18.
Which sequence is represented by the equation 2(7)n-1 ?
a)
7, 14, 28, 56...
b)
2, 14, 98, 686...
c)
2, 9, 16, 23...
d)
7,9,11,13...
19.
Find the 9th term in the following geometric sequence:
4, 8, 16, 32, ...
a)
384
b)
512
c)
768
d)
1,024
20.
Find a12 in the following geometric sequence:
-1, -3, -9, -27, ...
a)
-177,147
b)
-19,683
c)
-59,049
d)
118,098
21.
How do you feel about Geometric Sequences?
a)
I've got it!
b)
I'm doing ok.
c)
UGH!!
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