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Geometric Sequence Quiz
By Jalethea Byrd
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Last updated almost 6 years ago
20 questions
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Question 1
1.
Find a
12
in the sequence -1, -3, -9, -27, ...
-117147
-59049
118098
-19683
Question 2
2.
Find a
9
in the sequence 4, 8, 16, 32, ...
768
512
384
1024
Question 3
3.
Find a
11
in the sequence -3, 6, -12, 24, ...
-1/256
-236196
-3072
-4096
Question 4
4.
Find the common ratio: 4, -16, 64, -256, ...
r=-2
r=-4
r=2
r=4
Question 5
5.
Find the common ratio: 64, -16, 4, -1, ...
r=4
r=-4
r=-1/4
r=-8
Question 6
6.
Which formula is used to find the explicit equation for geometric sequences?
a
n
=a
n-1
r
a
n
=a
n-1
+d
a
n
=a
1
r
n-1
a
n
=a
1
+d(n-1)
Question 7
7.
Which formula is used to find the recursive equation for geometric sequences?
a
n
=a
n-1
r
a
n
=a
1
r
n-1
a
n
=a
1
+d(n-1)
a
n
=a
n-1
+d
Question 8
8.
What is the recursive rule for the sequence: 11,22,44, 88, ...
a
n
=11(2)
n-1
a
n
=2(11)
n-1
a
n
=11(2)
a
n
=2a
n-1
Question 9
9.
Given the sequence: 125, 25, 5, ...
Write the explicit rule.
t(n)=625(1/5)
n
t(n)=125+5n
t(n)=625(5)
n
t(n)=125(5)
n
Question 10
10.
Find the general rule for: 64, -32, 16, -8, ...
(-32)
n-1
(32)
n-1
64(-1/2)
n-1
64(1/2)
n-1
Question 11
11.
Write an explicit rule for the general term of the sequence 5, 15, 45, ...?
a
n
=5+3(n-1)
a
n
=3(5)
n-1
a
n
=3a
n-1
a
n
=5(3)
n-1
Question 12
12.
Find the 11th term for: 64, -32, 16, -8, ...
-0.0625
-0.03125
0.03125
0.0625
Question 13
13.
Which sequence is represented by the equation 2(7)
n-1
?
2, 14, 98, 686, ...
7, 14, 28, 56, ...
7, 9, 11, 13, ...
2, 9, 16, 23, ...
Question 14
14.
Is the sequence geometric or arithmetic?
3, 6, 9, 12, ...
arithmetic
geometric
neither
Question 15
15.
Is the sequence geometric or arithmetic?
6, 18, 54, ...
arithmetic
geometric
neither
Question 16
16.
Is the sequence 9, 99, 999, 9999, ... geometric?
no
yes
Question 17
17.
What is the 7th term for the rule:
f(n)=3(0.8)
n-1
0.629
2.4
0.786
14.4
Question 18
18.
What is the explicit rule for the sequence:
11, 22, 44, 88, ...
a
n
=2(11)
n-1
a
n
=2(11)
a
n
=11(2)
n-1
Question 19
19.
The first term of a geometric sequence is 18 and the common ratio is 3.5. What is the 5th term of the sequence?
2913.24
2701
2701.125
2700
Question 20
20.
What is the 10th term of the geometric sequence below?
2, -6, 18, ...
39366
-39366
23987
-40000