WorksheetsSum of Geometric Sequence
Total questions: 13
Worksheet time: 49mins
Name
Class
Date
1.
You are saving for a beach vacation. You deposit 100 pesos on the first of each month into your savings account. The account grows at a rate of 0.5% per month. How much money is in your account on the first day of the 9th month?
a)
1000 pesos
b)
918.22 pesos
c)
1200 pesos
d)
930 pesos
2.
What is the value of the missing term in the geometric sequence: __, 15, 45, 135
a)
8
b)
7
c)
6
d)
5
3.
For n = 1,2,3 . . .the explicit formula,
an = (-3)n + 4, will produce the sequence:
an = (-3)n + 4, will produce the sequence:
a)
{1, 13, -23, 85. . .}
b)
{1, -5, -23, -77. . .}
c)
{1, -2, -5, -8...}
d)
{1, 10,-5, 85. . .}
4.
a1=5, a2=11, a15=?
a)
95
b)
89
c)
81
d)
159
5.
Evaluate: x=2∑11(5x−2)
a)
305
b)
503
c)
53
d)
8
6.
Evaluate the arithmetic series described:
11 + 18 + 25 + 32..., S7
11 + 18 + 25 + 32..., S7
a)
225
b)
450
c)
384
d)
224
7.
Evaluate the arithmetic series described:
2 + (-2) + (-6) + (-10)..., S10
2 + (-2) + (-6) + (-10)..., S10
a)
-160
b)
-328
c)
-320
d)
-336
8.
Evaluate the geometric series below:
-1 -3 -9 - 27..., S8
-1 -3 -9 - 27..., S8
a)
-3280
b)
-3135
c)
-3323
d)
-3343
9.
Evaluate the geometric series below:
4 - 8 +16 - 32..., S7
a)
195
b)
172
c)
202
d)
145
10.
Evaluate the geometric series below:
-4 - 8 - 16 - 32..., S6
-4 - 8 - 16 - 32..., S6
a)
-253
b)
-252
c)
4
d)
-235
11.
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
12.
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
13.
Find the explicit rule for the nth term of the sequence. The second and fifth terms of a geometric sequence are -24 and 1536, respectively.
a)
an= 6(-4)n-1
b)
an= 6×-4n-1
c)
an= 6(-4)n
d)
an= -6(4)n-1
100 %
