NEW
Font size
S
M
L
XL
WorksheetsGeometric Sequences and Series
Total questions: 20
Worksheet time: 5hrs 40mins
Name
Class
Date
1.
Is the sequence -4, -12, -36, -108,... geometric?
a)
yes
b)
no
2.
Is the sequence 7, 9, 12, 16,... geometric?
a)
yes
b)
no
3.
Find the common ratio: 4, -16, 64, -256, ...
a)
r = -4
b)
r = 2
c)
r = -2
d)
r = 4
4.
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
5.
Find the next three terms: 4, 12, 36, 108, ...
a)
324, 972, 2916
b)
972, 2916, 8748
c)
405, 1215, 3645
6.
Write the explicit formula for the geometric sequence.
a)
an = 2(100)n-1
b)
an = 100(2)n-1
c)
an = 100(1/2)n-1
d)
an = (1/2)(100)n-1
7.
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
8.
What is the sum of the first 10 terms for the following geometric series:
2-6+18-54+...
2-6+18-54+...
a)
59048
b)
-29524
c)
524288
d)
3069
9.
What is the sum of the first 10 terms for the following geometric series:
1+1/2+1/4+1/8+1/16+...
1+1/2+1/4+1/8+1/16+...
a)
0.999
b)
0.002
c)
9.8
d)
1.998
10.
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
11.
Find the common ratio: 64, -16, 4, -1, ...
a)
r = -8
b)
r = -1/4
c)
r = -4
d)
r = 4
12.
What are the next values in the sequence?
-2, 10, -50, 250...
a)
-255, 260, -265, 270
b)
500, -1000, 5000, -10000
c)
-500, 1000, -5000, 10000
d)
-1250, 6250, -31250, 156250
13.
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...
14.
Find the 13th term:
2, 6, 18, 54, ….
2, 6, 18, 54, ….
a)
1,000,000
b)
1,062,882
c)
123,587
d)
5 bazillion
15.
Find the sum of the first 9 terms: -2 + -6 + -18 + ...
a)
-59,048
b)
-39,366
c)
-19,682
d)
-4,374
16.
What is the sum of the first ten terms of the sequence 4, -12, 36, -108 . . . ?
a)
59,050
b)
-59,048
c)
-78,732
d)
118,096
17.
The first term of a geometric sequence is 18 and the common ratio is 3.5. What is the 5th term of the sequence?
a)
2701
b)
2700
c)
2701.125
d)
2913.24
18.
Is the sequence 2, 4, 12, 48,... geometric?
a)
yes
b)
no
19.
Find the sum for the following series.
a)
44
b)
-162
c)
-682
d)
324
20.
Find the sum for the following series.
a)
1.49
b)
3.14
c)
1.33
d)
1.66
Reset
