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WorksheetsGeometric Series
Total questions: 10
Worksheet time: 51mins
Name
Class
Date
1.
Evaluate the geometric series below:
a1 = -2, an = -1458, r = 3
a1 = -2, an = -1458, r = 3
a)
-2186
b)
-2408
c)
1
d)
-2703
2.
Evaluate the geometric series below:
a1 = 4, an = 262144, r = 4
a1 = 4, an = 262144, r = 4
a)
349524
b)
341690
c)
344023
d)
338135
3.
Evaluate the geometric series below:
-2 - 10 - 50 - 250..., S6
-2 - 10 - 50 - 250..., S6
a)
-7812
b)
-9678
c)
-8686
d)
-9932
4.
Evaluate the geometric series below:
4 - 8 - 16 - 32..., S7
4 - 8 - 16 - 32..., S7
a)
195
b)
172
c)
202
d)
145
5.
Evaluate the geometric series below:
-1 -3 -9 - 27..., S8
-1 -3 -9 - 27..., S8
a)
-3280
b)
-3135
c)
-3323
d)
-3343
6.
Evaluate the geometric series below:
4 + 20 + 100 + 500..., S7
4 + 20 + 100 + 500..., S7
a)
88419
b)
78124
c)
91846
d)
92234
7.
Evaluate the geometric series below:
4 - 16 + 64 - 256..., S9
4 - 16 + 64 - 256..., S9
a)
223444
b)
230679
c)
204516
d)
209716
8.
Evaluate the geometric series below:
-4 - 8 - 16 - 32..., S6
-4 - 8 - 16 - 32..., S6
a)
-253
b)
-252
c)
4
d)
-235
9.
The local power company plans to raise rates to cover the increased cost of producing power. They determine the costs will increase by 4.2% per year for the next 10 years. If you paid a total of $1031.60 for power last year, what would you expect to pay for power over the next 10 years?
(Hint: Find a1, a10, and r)
(Hint: Find a1, a10, and r)
a)
$13,020.97
b)
$10,316.00
c)
$2,704.97
d)
$12,220.97
10.
A bouncing ball reaches heights of 16 cm, 12.8 cm, and 10.24 cm on three consecutive bounces. If the ball was originally dropped from 25 cm (a1 = 25), how much total distance in the downward direction has the ball traveled after five bounces?
a)
25 cm
b)
84.04 cm
c)
53.7956 cm
d)
59.04 cm
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