WorksheetsSeq/Series, perm/com, variation
Total questions: 50
Worksheet time: 3hrs 41mins
Name
Class
Date
1.
Is the sequence arithmetic: 78, 785, 7855, 78555, ...
a)
Yes
b)
No
2.
Is the sequence 2, 4, 12, 48,... geometric?
a)
yes
b)
no
3.
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
4.
Find the 22nd term of the following sequence:
5, 8, 11, ...
5, 8, 11, ...
a)
14
b)
68
c)
63
d)
71
5.
Find the 32nd term of this sequence.
34, 37, 40, 43, ...
34, 37, 40, 43, ...
a)
32
b)
64
c)
127
d)
356
6.
Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...
9, 4, -1, -6, -11, ...
a)
81
b)
-34
c)
-146
d)
-225
7.
Evaluate the Arithmetic Series
a)
105
b)
210
c)
100
d)
420
8.
Find the sum of the infinite geometric series, if it exists:
5 + 4 + 3.2 + 2.56 + ...
a)
25
b)
5
c)
-1
d)
0.8
9.
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
10.
Find the sum for the following series.
a)
1.49
b)
3.14
c)
1.33
d)
1.66
11.
Find the sum of the arithmetic series where
a21 =145, d = 5, a1 = 45
a21 =145, d = 5, a1 = 45
a)
1890
b)
2100
c)
1995
d)
1050
12.
If there are 10 seats in the first row in a theater and 13 seats in the second row and 16 seats in the third row, how many seats are in the 17th row?
a)
58
b)
61
c)
48
d)
none of the above
13.
If r = 4 and a6 = 192, what is the first term of the sequence?
a)
168
b)
0.46875
c)
0.1875
d)
48
14.
Find the sum of the infinite geometric series.
36 - 12 + 4 - 4/3 + ... (This is infinite.)
a)
0
b)
1/3
c)
27
d)
1,000,000,000,000,000,000,000,000
15.
What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47 + ...?
a)
1,600
b)
18,235
c)
18,475
d)
19,125
16.
The recursive formula, an=¾an-1 + 5, could produce which sequence?
a)
4, 3, 2.25, 1.6875. . .
b)
4, 9,14,19. . .
c)
4, 7.25, 9.6875, 11.515625. . .
d)
4, 8, 11,13.25. . .
17.
What is the twelfth term in the sequence 3, -6, 12, . . . ?
a)
-2,048
b)
6,144
c)
-6,144
d)
-531,441
18.
Write the recursive formula for 6, 17, 28, 39, 50....
a)
an=an-1+11
a1=6
a1=6
b)
an=an-1-4
a1=6
a1=6
c)
an=an-1+9
a1=6
a1=6
d)
an=an-1+6
a1=6
a1=6
19.
Find the 4th term for the sequence defined by a1=9; an=an-1+8
a)
35
b)
17
c)
41
d)
33
20.
Match the recursive formula to the sequence.
36, -18, 9, - 4.5 . . .
a)
an = 2 an-1
b)
an = an-1 + 2
c)
an = -1/2 an-1
d)
an = -2 an-1
21.
Permutation, combination, or neither?
Rob and Mary are planning trips to 9 countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip.
Rob and Mary are planning trips to 9 countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip.
a)
combination
b)
permutation
c)
neither
22.
Permutation, combination, or neither?
The batting order for seven players on a 12 person team.
The batting order for seven players on a 12 person team.
a)
combination
b)
permutation
c)
neither
23.
Which of the following is an example of combination?
a)
Form a passcode with 4 digits
b)
Students line up in a queue to assembly
c)
Choose 4 students in a class committee
d)
Choose the chairperson, secretary and treasurer in a club
24.
Permutation, combination, or neither?
A team of 8 basketball players need to choose a co-captain and captain.
A team of 8 basketball players need to choose a co-captain and captain.
a)
combination
b)
permutation
c)
neither
25.
Members of 6 different school organizations decorated floats for the homecoming parade. How many different ways can first, second, and third prize be awarded?
a)
18
b)
120
c)
36
26.
How many ways can you choose a manager and assistant from a 9-person task force?
a)
81
b)
18
c)
72
27.
How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?
a)
90
b)
100
c)
12
d)
24
28.
Find the number of possibilities:
A group of 25 people are going to run a race. The top 8 finishers advance to finals.
A group of 25 people are going to run a race. The top 8 finishers advance to finals.
a)
625
b)
4.36 X 1010
c)
1,081,575
29.
Find the number of possibilities:
A team of 17 softball players needs to choose three players to refill the water cooler.
A team of 17 softball players needs to choose three players to refill the water cooler.
a)
272
b)
4080
c)
680
30.
How many ways can a stylist arrange 5 of 8 vases from left to right in a store display?
a)
672
b)
40
c)
6720
31.
How many ways can you arrange 2 letters from the word
S Q U A R E?
S Q U A R E?
a)
30
b)
140
c)
320
d)
45
32.
Each lock contains 3 dials, each with ten digits. How many possible sequences of number exist?
a)
100
b)
10
c)
720
d)
1000
33.
Suppose y varies directly as x.
If y = 22.5 when x = 15, find y when x = 20.
If y = 22.5 when x = 15, find y when x = 20.
a)
1.5
b)
337.5
c)
30
d)
16.875
34.
Suppose y varies jointly as x & z.
If y = -180 when z = 15
and x = -3,
then find y when x = 7 and z = -5.
If y = -180 when z = 15
and x = -3,
then find y when x = 7 and z = -5.
a)
-140
b)
140
c)
-4
d)
4
35.
Suppose y varies inversely with x.
If y = 150 when x = 2, find y when x = 25.
If y = 150 when x = 2, find y when x = 25.
a)
300
b)
75
c)
1,875
d)
12
36.
y varies directly with x, and y is 84 when x is 16. What is the constant of proportionality?
a)
y = (21/4)x
b)
k= 21
c)
k= 5.25
d)
k= 4/21
37.
The number of hours to paint a house varies inversely with the number of painters working. A 2400-square foot house can be painted in 27 hours by 6 painters. How many painters would need to work in order to paint the house in 18 hours?
a)
8 painters
b)
10 painters
c)
9 painters
d)
11 painters
38.
Suppose a varies jointly as b and c.
If a = 15, when b = 4
and c = 5,
then find b when a = 60 and c = 5.
If a = 15, when b = 4
and c = 5,
then find b when a = 60 and c = 5.
a)
320
b)
225
c)
16
d)
8
39.
y varies directly with the square of x. If y=40 when x=4, find y when x = 7
a)
17.5
b)
70
c)
122.5
40.
a varies inversely as the square of b. If a is 1 when b is 3, find a when b is 5.
a)
0.36
b)
9
c)
25
d)
36
41.
y varies directly as the square of x and indirectly with z. If y is 8 when x is 4 and z is 6, find y when x is 8 and z is 4.
a)
3
b)
12
c)
48
d)
64
42.
The time it takes to drive to Dallas is inversely proportional to your driving speed. It takes 3 hours to get to Dallas if you drive 60 mph. How long will the trip take if you drive 72 mph?
a)
2.5 hours
b)
2.6 hours
c)
2.8 hours
d)
3.5 hours
e)
3.6 hours
43.
Find the exponential model of the function.
a)
y = 100(8.8)x
b)
y = 100(1.88)x
c)
y = 100(.88)x
d)
y = 100(.12)x
44.
After 9 days, approximately how many grams of this substance will exist?
a)
about 64244
b)
about 173602
c)
about 23774
d)
about 469111
45.
Use the exponential regression to find an equation that fits the data, where x is the years since 1990.
a)
y=8.92•1.23x
b)
y=1.23•8.92x
c)
y=8.92+1.23x
d)
y=8.92x+1.23
46.
Find the quadratic equation for the relationship of the horizontal distance and the height of the ball.
a)
-18x2 + 2.11x + 4.21
b)
-.06x2 +1.06x + 7.9
c)
-6x2 +1.06x + 79
d)
-.12x2 + 2.11x + 4.22
47.
Find the height of the ball when it traveled a distance of 10 feet.
a)
12.8 ft
b)
13.3 ft
c)
11.1 ft
d)
17 ft
48.
A raft is dropped from a helicopter 256 feet in the air above the ocean. Its approximate height, h, after t seconds is given by the function h(t) = -16t2 + 256. How many seconds did it take the raft to hit the water?
a)
-4
b)
2
c)
4
d)
8
49.
Based on the table, which function can best be used to model this situation?
a)
h(t) = 99t2 + 858
b)
h(t) = -4.9t2 + 295t + 0.6
c)
h(t) = -4.9t2 + 295t + 2
d)
h(t) = 99t2 + 1,470.3
50.
Find the height of the ball when it traveled a distance of 10 feet.
a)
12.8 ft
b)
13.3 ft
c)
11.1 ft
d)
17 ft
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