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WorksheetsGeometric Series
Total questions: 10
Worksheet time: 42mins
Name
Class
Date
1.
Find the common ratio: 16, 8, 4, 2, ...
a)
r = 2
b)
r = 8
c)
r = 1/4
d)
r = 1/2
2.
Find the common ratio: -3, -9, -27, -81, ...
a)
r = 6
b)
r = -6
c)
r = 3
d)
r = -3
3.
What is the sum of the first ten terms of the sequence 4, -12, 36, -144 . . . ?
a)
59,050
b)
-59,048
c)
-78,732
d)
118,096
4.
Find the next three terms of the geometric sequence: -4, -12, -36, -108, ...
a)
36, -108, 324
b)
-324, -972, -2916
c)
324, -972, 2916
d)
-108, 324, -972
5.
Find the sum of the geometric series.
2 + 12 + 72 + 432
a)
432
b)
518
c)
211
d)
438
6.
Find the sum of geometric series.
−2 + 6 − 18 + 54 −162
a)
-118
b)
5
c)
-122
d)
201
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.
A geometric series begins with 4, ends with 1/64, and has a common ratio of one half. Which geometric series is correct?
a)
4+2+1+1/2+1/4+1/8+1/16+1/32+1/64
b)
4-2+1-1/2+1/4-1/8+1/16-1/32+1/64
c)
4+2+1/2+1/4+1/8+1/16+1/32+1/64
d)
4+2+1+1/2+1/4+1/16+1/64
9.
Build the series knowing that it has 5 terms, starts with -2 and has a common ratio of -4.
a)
-2 - 8 - 32 - 128 - 512
b)
-2 + 8 - 32 + 128 - 512
c)
2 + 8 + 32 + 128 + 512
d)
-2 + 8 + 32 - 128 + 512
10.
What would be the missing terms of the series
-1 - 5 - 25 - ... - 78125
a)
125 + 625 - 3125 + 15625
b)
125 - 625 - 15625
c)
125 - 625 - 3125 - 15625
d)
625 - 3125 - 15625
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