WorksheetsLinear Functions and Arithmetic Sequences
Total questions: 42
Worksheet time: 1hrs 27mins
Name
Class
Date
1.
Find the 22nd term of the following sequence:
5, 8, 11, ...
5, 8, 11, ...
a)
14
b)
68
c)
63
d)
71
2.
Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)
a)
an=2+6n
b)
an=-6+6n
c)
an=6n-4
d)
an=4-6n
3.
Find the first term of the given sequence:
a14=68
d=3
a14=68
d=3
a)
14
b)
20
c)
26
d)
29
4.
Identify the common difference.
97, 86, 75, 64, ...
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
5.
Identify the common difference.
3, 7, 11, 15, ...
3, 7, 11, 15, ...
a)
6
b)
5
c)
4
d)
2
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.
Find the 25th term of the sequence if a1 = 5 and d = 0.5
a)
18
b)
17
c)
15
d)
14
8.
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)
a)
an = 4n + 29
b)
an = -4n + 25
c)
an = -4n + 29
d)
an = 4n + 25
9.
The next two terms of the sequence 4,7,10,13 are ....
a)
16 and 19
b)
15 and 19
c)
16 and 18
d)
15 and 18
10.
Is the sequence arithmetic: 37, 31, 25, 19, ...
a)
Yes
b)
No
11.
Is the sequence arithmetic: -3, 3, -3, 3, ...
a)
Yes
b)
No
12.
Is the sequence arithmetic: 78, 785, 7855, 78555, ...
a)
Yes
b)
No
13.
Is the sequence arithmetic: 17, 9, 1, -7, ...
a)
Yes
b)
No
14.
Find the common difference: -34, -29, -24, -19, ...
a)
d = -5
b)
d = 5
c)
d = -6
d)
d = 6
15.
Find the common difference: 1, 201, 401, 601, ...
a)
d = 100
b)
d = 101
c)
d = 200
d)
d = 201
16.
Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...
a)
-1, 7, 15
b)
-5, 2, 9
c)
3, 12, 21
d)
-65, -73, -81
17.
Find a20 in the arithmetic sequence: 5, 12, 19, 26...
a)
145
b)
144
c)
142
d)
138
18.
Is this sequence Arithmetic, Geometric, or Neither?
{2, 9, 7, 14, 12, 19, ... }
{2, 9, 7, 14, 12, 19, ... }
a)
Arithmetic
b)
Geometric
c)
Neither
19.
Which lists four consecutive terms of an arithmetic sequence?
a)
1, 4, 9, 16, ...
b)
3, 10, 17, 24, ...
c)
1, 2, 4, 8, ...
d)
-5, 6, 10, 13, ...
20.
Write the recursive formula for 4, 8, 12...
a)
an=an-1-7
b)
an=an-1-4
c)
an=an-1+3
d)
an=an-1+4
21.
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)
a)
an = 4n + 29
b)
an = -4n + 25
c)
an = -4n + 29
d)
an = 4n + 25
22.
What is the distance from one number to the next in a sequence of numbers that is represented by a (d) in an arithmetic sequence?
a)
Common denominator
b)
Common opposites
c)
Common domain
d)
Common difference
23.
What is a1?
3, 15, 75, 375, 1875...
3, 15, 75, 375, 1875...
a)
3
b)
3/5
c)
5
d)
1875
24.
Given the sequence 4, 11, 18, 25...... what is a3 ?
a)
4
b)
11
c)
18
d)
25
25.
What is the y intercept?
y = 2x - 3
y = 2x - 3
a)
3
b)
-3
c)
1
d)
2
26.
Which equation matches the table?
a)
y = x + 5
b)
y = 6x
c)
y = x + 6
d)
times 6
27.
What type of association (correlation) does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
28.
What type of correlation does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
29.
Which equation best represents the data?
a)
A. y= -3/5x + 2
b)
B y = 5/3x -2
c)
C y = -3/5x - 2
d)
D y= 5/3x + 2
30.
Which equation best represents the data?
a)
A y = 2x + 2
b)
B y= 1/2x - 2
c)
C y = -2x + 2
d)
D y = -1/2x + 2
31.
r=0.3
a)
Strong positive
b)
Weak positive
c)
Strong negative
d)
Weak negative
32.
r=-0.89
a)
Strong positive
b)
Weak positive
c)
Strong negative
d)
Weak negative
33.
Estimate the correlation coefficient for this scatterplot.
a)
r = 1.2
b)
r = 0.89
c)
r = 0
d)
r = -0.89
35.
Determine the correlation coefficient of the given data:
a)
.9820
b)
-.9643
c)
-1.409
d)
.164
35.
Determine the correlation coefficient of the given data:
a)
.9820
b)
-.9643
c)
-1.409
d)
.164
36.
The correlation coefficient is a number "r" such that:
a)
-1<r<1
b)
-1>r>1
c)
-1≤r≤1
d)
-1≥r≤1
37.
If the correlation coefficient of a table of data is 0.85, what is true about the line of best fit?
a)
There is a weak, positive relationship
b)
There is a strong, positive relationship
c)
There is a weak, negative relationship
d)
There is a strong, negative relationship
38.
What is a line of best fit used for?
a)
To make predictions
b)
To make the graph look pretty
c)
To connect the points
d)
To make it look like you know what you are doing
39.
Residuals are . . .
a)
possible models not explored by the researcher
b)
variation in the response variable that is explained by the model
c)
the difference between the observed response and the values predicted by the model
d)
data collected from individuals that is not consistent with the rest of the group
40.
What is the explicit formula?
a)
a(n) = -4n -17
b)
a(n) = -4n - 21
c)
a(n) = 4n - 17
d)
a(n) = 4n - 21
41.
What is the common difference?
a)
.5
b)
2.5
c)
3
d)
5.5
42.
What is the explicit formula?
a)
a(n) = 5n + 5
b)
a(n) = n + 5
c)
a(n) = 5n + 10
d)
a(n) = -5n + 5
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