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Sequence Comparisons

Total questions: 50

Worksheet time: 2hrs 17mins

Name
Class
Date
1.

The first three terms of an arithmetic sequence are as follows


13, 19, 25


What are the next two terms of the sequence?

a)

31 and 37

b)

31 and 36

c)

30 and 37

d)

30 and 36

2.

Which sequence is NOT an arithmetic sequence?

a)

-7, -13, -19, -25,...

b)

-10, -6, -2, 2,..

c)

6, 8, 10, 12,...

d)

3, 15, 75, 375,...

3.

Which sequence is NOT an arithmetic sequence?

a)

12, 18, 24, 30,...

b)

10, 3, -4, -11,...

c)

2, 4, 8, 16,...

d)

16, 20, 24, 28,...

4.

What is the common difference of the sequence 2, -1, -4, -7,...?

a)

-3

b)

-1

c)

-2

d)

3

5.

An arithmetic sequence is given below.


2, 9, 16, 23, ...


Which is the explicit formula for the nth term an?

a)

an = -7n+9

b)

an = 7n-5

c)

an = 7n-9

d)

an = -7n+5

6.

An arithmetic sequence is given below.


16, 13, 10, 7, ...


Which is the explicit formula for the nth term an?

a)

an = -3n+19

b)

an = -5n+13

c)

an = 3n+13

d)

an = -5n+20

7.

What is the 67th term of the following arithmetic sequence.


13, 22, 31, 40, ...

a)

-445

b)

67

c)

625

d)

607

8.

What is the 76th term of the following arithmetic sequence?


8, 14, 20, 26,...

a)

76

b)

452

c)

458

d)

476

9.

What is a1 in the following sequence?


-6, -14, -22, -30, ...

a)

-6

b)

-14

c)

-22

d)

-30

10.

Find the 46th term of the arithmetic sequence 3, 8, 13, 18, 23, ...

a)

288

b)

228

c)

338

d)

388

11.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
12.
a)
Function
b)
Not a Function
13.
Evaluate f(-2) if f(x) = x+3
a)
-1
b)
1
c)
5
d)
-5
14.

What is the common ratio of this sequence ? 5, 25, 125, ...

a)

4

b)

2

c)

5

d)

6

15.

What is the common ratio of the geometric sequence -1, 6, -36, 216, ...?

a)

-6

b)

6

c)

12

d)

-4

16.
Find the common ratio: 64, -16, 4, -1, ...
a)
r = -8
b)
r = -1/4
c)
r = -4
d)
r = 4
17.

Solving for the nth term of geometric sequence, given that a1 = 1 and r= 2, what is the value of the 4th term?

a)

2

b)

8

c)

4

d)

16

18.
Write the explicit formula for the geometric sequence.
a)
an = 10(2)n-1
b)
an = 2(10)n-1
c)
an = 10(2)n
d)
an = 2(10)n
19.
Write the explicit formula for the geometric sequence.
a)
an = 4(3)n-1
b)
an = 3(4)n-1
c)
an = -4(3)n-1
d)
an = 3(-4)n-1
20.

Find the 9th term in the following geometric sequence:

4, 8, 16, 32, ...

a)

384

b)

512

c)

768

d)

1,024

21.
What is the 11th term of the geometric sequence?
a)
-5120
b)
97,656,250
c)
19,531,250
d)
-19,531,250
22.

Given the sequence:

125, 25, 5, ....

Write the rule an using the geometric sequence formula:

a)

an = (125)(1/5)(n-1)

b)

an = 625(1/5)(n-1)

c)

an = 625(5)(n-1)

d)

an = 125 + 5n

23.

A geometric sequence has a common ration(r) of 3 and the 8th term (a8) is 13,122. What is the first term of the sequence (a1)?

a)

3

b)

6

c)

18

d)

2

24.
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change? 
a)
200
b)
150
c)
300
d)
75
25.
Average Rate of Change is also known as...
a)
y-intercept
b)
x-intercept
c)
linear
d)
slope
26.

The first three terms of an arithmetic sequence are as follows

13, 19, 25, ​ (a)   , (b)  

What are the next two terms of the sequence?

Choose from the below words
31
37
36
30
32
38
29
27.

If the sequence 6, 11, 16, 21 continues, what will be the 9th term?

(a)  

28.

Match the Average Rate of Change with the given intervals

Categorize the following

-18

-6

2

-2

[-3, 0]
-2 ≤ x ≤ 2
-1 ≤ x ≤ 3
[-1, 2]
29.
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
30.
Write the recursive formula of 13, 9, 5...
a)
an=an-1-4
b)
an=an-1+3
c)
an=an-1-5
d)
an=an-1+4
31.
Write the recursive formula for 6, 17, 28, 39, 50....
a)
an=an-1+11
b)
an=an-1-4
c)
an=an-1+9
d)
an=an-1+6
32.
Emily’s parents put $1,500 in her bank account for college tuition. At an interest rate of 8.25% compounded semiannually,what will be the balance after 18 years?
a)

$6,273.50

b)

$6,314.08

c)

$6,385.72        

d)

$6,427.94          

33.

Match the word to the correct value of n.

a)

annually

1.

n = 1

b)

quarterly

2.

n = 4

c)

monthly

3.

n = 12

d)

weekly

4.

n = 52

e)

semi-annually

5.

n = 2

34.
Change 6.75% to a decimal.
a)
67.5
b)
.675
c)
675
d)
.0675
35.

Mr. Diable invested $3,500 in a 7 year CD that pays 4.2% interest compounded annually. How much interest will the CD earn over the 7 years?

a)

$147.00

b)

$245.00

c)

$1,168.12

d)

$4,668.12

36.

Ivan deposits $5,000 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in the first 3 years?

What is the principle? ​ (a)  

What is the rate? ​ (b)  

What is the time? ​ (c)  

Choose from the below words
$5,000
5%
3 years
37.

Steve deposited

$5,000 in a savings account that pays 4% interest compounded annually. Which

equation could be used to find the value of the account after 3 years?

a)

A = 5,000(1 + 4)3

b)

A = 5,000(1 + 0.04)3

c)

A = 5,000(1 + 0.4) x 3

d)

A = 5,000(0.04)3

38.
Semi-Annually means how many times a year?
a)
4 
b)
2
c)
1
d)
6
39.

Change 18% to a decimal

a)

18

b)

.18

c)

.018

d)

.18%

40.

What are the increasing intervals?

a)

(- ∞, 0) & (2, ∞ )

b)

(-1, 0) & (2,4)

c)

(0,2) & (-3, -7)

d)

(-8, -3) & (-7, 8)

41.

What are the decreasing intervals on the graph?

a)

(-∞, 0) & (-4, ∞)

b)

(-∞, -1) & (1, ∞)

c)

(-∞, -2) & (2, ∞)

d)

(-∞, 0) & (4, ∞)

42.

What is/are the increasing interval(s) for the function shown?

a)

(−3, 1)\left(-3,\ 1\right)

b)

(4, 8)\left(4,\ 8\right)

c)

(−∞,1) and (−3, 1)\left(-\infty,1\right)\ and\ \left(-3,\ 1\right)

43.
Over what interval is this function constant?
a)
-5 < x < ∞
b)
-3 < x < 4
c)
4 < x < ∞
d)
-5
44.
When is this function increasing?
a)
-2.5 < x < 2.5
b)
0 < x < 5
c)
0 < x < 55
d)
-5 < x < 0
45.
How long did Sam sit on the bench and wait for the bus?
a)
5 min
b)
10 min
c)
15 min
d)
20 min
46.
Which statement is true about this graph?
a)
This function is always constant
b)
This function is always increasing
c)
This function is never increasing
d)
This function is both increasing and decreasing
47.

Find the function's x- and y-intercepts.

a)

x-int (0,-3) and (0,1)

y-int (-4,0)

b)

x-int (-3,0) and (1,0)

y-int (0,-4)

c)

x-int (-4, 1)

y-int (-4, ∞)

d)

x-int (-3,0) and (1,0)

y-int (0,-3)

48.

Identify the intervals where the function is positive and where it is negative.

a)

positive x > -1 and negative x < -1

b)

positive nowhere and negative -4 < x < -1

c)

positive x < -3 and x > 1 and negative -3 < x < 1

d)

positive R and negative x < -4

49.

What is the maximum height?

a)

200

b)

50

c)

3

d)

0

50.
Which ordered pair could represent a  
y-intercept on a graph?
a)
(6, 0)
b)
(0, 4)
c)
(-1, 3)
d)
(2, 0)

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