Free Printable Integrated Math 1: 1.5-1.7 Extra Practice

1.

Is the following sequence arithmetic, geometric, or neither?

3, 9, 27, 81, 243

a)

Arithmetic

b)

Geometric

c)

Neither

2.

Is the following sequence arithmetic, geometric, or neither?

2, 10, 50, 250, 1250

a)

Arithmetic

b)

Geometric

c)

Neither

3.

Is the following sequence arithmetic, geometric, or neither?

3, 14, 25, 36, 47

a)

Arithmetic

b)

Geometric

c)

Neither

4.

Is the following sequence arithmetic, geometric, or neither?

30, 18, 10.8, 6.48, 3.888

a)

Arithmetic

b)

Geometric

c)

Neither

5.

Which of the following recursive equations could be used to describe the following sequence?

3, 6, 9, 12, ...

a)

f(n) = f(n – 1) · 3; f(1) = 3

b)

f(n) = f(n – 1) – 3; f(0) = 1

c)

f(n) = f(n – 1) · 2; f(1) = 3

d)

f(n) = f(n – 1) + 3; f(1) = 3

6.

Which of the following explicit equations describe the sequence shown in the table?

a)

f(n) = 3n + 2

b)

f(n) = 3(n – 1) – 1

c)

f(n) = 3(n – 1) + 2

d)

f(n) = 3n

7.

Which of the following explicit equations describe the sequence shown in the table?

a)

f(n) = 4n + 4

b)

f(n) = 4(n – 1)

c)

f(n) = 4n – 4

d)

f(n) = 4(n – 1) + 4

8.

Which of the following explicit equations describe the sequence shown in the table?

a)

$f\left(n\right)=200\left(0.4\right)^{n-1}$

b)

$f\left(n\right)=0.4\left(n-1\right)+200$

c)

$f\left(n\right)=200\left(0.4\right)^n$

d)

$f\left(n\right)=200\left(0.6\right)^{n-1}$

9.

Which of the following recursive equations describe the sequence shown in the table?

a)

f(n) = f(n – 1) – 0.2; f(1) = 10,000

b)

f(n) = f(n – 1) · 1.25; f(1) = 10,000

c)

f(n) = f(n – 1) · 0.8; f(1) = 10,000

d)

f(n) = f(n – 1) – 1.25; f(1) = 10,000

10.

Which of the following explicit equations describe the sequence shown in the graph?

a)

$f\left(n\right)=2\left(5\right)^n$

b)

$f\left(n\right)=2\left(5\right)^{n-1}$

c)

$f\left(n\right)=8\left(n-1\right)+2$

d)

$f\left(n\right)=5^n$

11.

Which of the following explicit equations describe the sequence shown in the graph?

a)

$f\left(n\right)=5\left(n-1\right)+10$

b)

$f\left(n\right)=5n+10$

c)

$f\left(n\right)=\left(n-1\right)+5$

d)

$f\left(n\right)=10\left(5\right)^{n-1}$

12.

Which of the following recursive equations describe the sequence shown in the graph?

a)

$f\left(n\right)=5\left(n-1\right)\ \cdot\ 2;\ f\left(0\right)=0$

b)

$f\left(n\right)=2\left(5\right)^n;\ f\left(1\right)=2$

c)

$f\left(n\right)=f\left(n-1\right)+8;\ f\left(1\right)=2$

d)

$f\left(n\right)=f\left(n-1\right)\ \cdot\ 5;\ f\left(1\right)=2$

13.

Which of the following recursive equations describe the sequence shown in the graph?

a)

$f\left(n\right)=f\left(n-1\right)+5;\ f\left(0\right)=10$

b)

$f\left(n\right)=f\left(n-1\right)+5;\ f\left(1\right)=10$

c)

$f\left(n\right)=5\left(n-1\right)+5;\ f\left(0\right)=10$

d)

$f\left(n\right)=f\left(n-1\right)\ \cdot\ 5;\ f\left(1\right)=10$

14.

Given the following recursive formula:

$f\left(n\right)=f\left(n-1\right)-15;\ f\left(1\right)=-61$

Which explicit equation can be used to define this sequence?

a)

$f\left(n\right)=-15n-46$

b)

$f\left(n\right)=-46n$

c)

$f\left(n\right)=-15n-61$

d)

$f\left(n\right)=-61n+46$

15.

Given the following explicit equation:

$f\left(n\right)=90\left(4\right)^{n-1}$

Which recursive formula can be used to define this sequence?

a)

$f\left(n\right)=f\left(n-1\right)\ \cdot\ 4;\ f\left(1\right)=90$

b)

$f\left(n\right)=f\left(n-1\right)+90;\ f\left(1\right)=4$

c)

$f\left(n\right)=f\left(n-1\right)+4;\ f\left(0\right)=90$

d)

$f\left(n\right)=f\left(n-1\right)\ \cdot\ 4;\ f\left(1\right)=22.5$

16.

Is the following sequence arithmetic, geometric, or neither?

5, 15, 45, 135, 405

a)

Arithmetic

b)

Geometric

c)

Neither

17.

Which of the following recursive equations could be used to describe the following sequence?

2, 4, 8, 16, ...

a)

f(n) = f(n – 1) · 2; f(1) = 2

b)

f(n) = f(n – 1) + 2; f(1) = 2

c)

f(n) = f(n – 1) · 3; f(1) = 2

d)

f(n) = f(n – 1) + 3; f(1) = 2

18.

Given the following explicit equation:

$f\left(n\right)=80\left(3\right)^{n-1}$

Which recursive formula can be used to define this sequence?

a)

$f\left(n\right)=f\left(n-1\right)\ \cdot\ 3;\ f\left(1\right)=80$

b)

$f\left(n\right)=f\left(n-1\right)+80;\ f\left(1\right)=3$

c)

$f\left(n\right)=f\left(n-1\right)+3;\ f\left(0\right)=80$

d)

$f\left(n\right)=f\left(n-1\right)\ \cdot\ 3;\ f\left(1\right)=20$

19.

What type of sequence is modeled by the graph?

a)

Increasing arithmetic sequence

b)

Decreasing arithmetic sequence

c)

Increasing geometric sequence

d)

Decreasing geometric sequence

20.

The population of a city is decreasing by 3% every year. If the population is 125,000 in the 1st year, what will it be in the 10th year?

a)

92,178 people

b)

95,029 people

c)

167,990 people

d)

163,096 people

21.

Given the following recursive formula:

$f\left(n\right)=f\left(n-1\right)+10;\ f\left(1\right)=-50$

Which explicit equation can be used to define this sequence?

a)

$f\left(n\right)=10n-60$

b)

$f\left(n\right)=-50n+10$

c)

$f\left(n\right)=10n-50$

d)

$f\left(n\right)=-60n+10$

22.

Given the following explicit equation:

$f\left(n\right)=100\left(2\right)^{n-1}$

Which recursive formula can be used to define this sequence?

a)

$f\left(n\right)=f\left(n-1\right)\ \cdot\ 2;\ f\left(1\right)=100$

b)

$f\left(n\right)=f\left(n-1\right)+100;\ f\left(1\right)=2$

c)

$f\left(n\right)=f\left(n-1\right)+2;\ f\left(0\right)=100$

d)

$f\left(n\right)=f\left(n-1\right)\ \cdot\ 2;\ f\left(1\right)=50$

23.

You start with $10 in your bank account, and that amount doubles each month (e.g., there's $20 on month 1). How much money will be in your account on month 12?

a)

$41,600

b)

$81,920

c)

$40,960

d)

$20,480

24.

Find the first four terms of the sequence given the rule:
f(n) = 4(5)^n-1

a)

20, 100, 500, 2500

b)

5, 20, 80, 320

c)

4, 20, 100, 500

d)

4, 9, 14, 19

25.

Which sequence is an arithmetic sequence?

a)

3, 5, 8, 12, ...

b)

3, 6, 12, 24, ...

c)

3, 12, 36, 144, ...

d)

3, 7, 11, 15, ...

Integrated Math 1: 1.5-1.7 Extra Practice

Total questions: 25

Worksheet time: 6hrs 15mins

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