Free Printable Math 10

1.

Complete the Table.

a)

25, 32, 39, 46

b)

7, 32, 57, 82

c)

32, 39, 46, 53

d)

7, 14, 21, 28

2.

What is the common difference?

a)

−16

b)

84

c)

16

d)

0

3.

Write the first four terms in the sequence.

a)

12, 14, 16, 18

b)

12, 10, 8, 6

c)

14, 12, 10, 8

d)

14, 16, 18, 20

4.

A sequence can be generated by using a_n = a_{(n − 1)} + 10, where a₁ = 23 and n is a whole number greater than 1. What are the first five terms in the sequence?

a)

33, 43, 53, 63, 73

b)

23, 33, 43, 53, 63

c)

23, 230, 2300, 23000, 230000

d)

23, 13, 3, −7, −17

5.

Using this explicit rule a_{n = 2n + 5, write the first four terms in the sequence.}

a)

7, 9, 11, 13

b)

5, 7, 9, 11

c)

7, 5, 3, 1

d)

5, 3, 1, −1

6.

Is the sequence arithmetic: 78, 785, 7855, 78555, ...

a)

Yes

b)

No

7.

Find the common difference: -18, -23, -28, -33, ...

a)

d = -5

b)

d = 5

c)

d = -3

d)

d = 3

8.

Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...

a)

63, 72, 81

b)

79, 88, 97

c)

70, 79, 88

d)

61, 70, 79

9.

Find 26th term in the arithmetic sequence: -15, -35, -55, -75, ...

a)

-515

b)

-490

c)

-535

d)

460

10.

Which of the the following are examples of arithmetic sequence?

a)

$\frac{1}{4},\frac{1}{2},\frac{3}{4},1$

b)

$6,11,16,21,...$

c)

$100,95,90,85,80,75$

d)

$100,50,25,\ ...$

11.

If the third term of an arithmetic sequence is 13 and the 9th term is 37, what is the first term?

(a)

12.

If the third term of an arithmetic sequence is 13 and the 9th term is 37, what is the 53rd term?

(a)

13.

The first three terms and the last term of a finite arithmetic sequence are - 92, - 88, - 84, ...,12.Find the number of terms in the sequence.

a)

20

b)

25

c)

27

d)

30

14.

Insert two arithmetic means between 30 and 48

a)

35, 41

b)

36, 42

c)

37, 43

d)

38, 44

15.

Insert three arithmetic means between 22 and 42.

a)

24, 29 34

b)

25, 30, 35

c)

26, 31, 36

d)

27, 32, 37

16.

What is the missing term in 21, _______, 47?

a)

32

b)

33

c)

34

d)

35

17.

Find the missing term

_______, $\frac{5}{3},\frac{4}{3}$

a)

0

b)

1

c)

2

d)

$\frac{1}{2}$

18.

What is the arithmetic mean between 6.5 and 17.9 ?

a)

12.2

b)

11.2

c)

10.2

d)

9.2

19.

Insert one arithmetic mean between the first and last term of the sequence.
$-20,\$ (a) , $-40$ .

20.

Insert one arithmetic mean between the first and last term of the sequence.
$-23,$ (a) , $-3$ .

21.

What does r represent?

a)

Radical

b)

Common difference

c)

Common ratio

22.

What does a₁ represent?

a)

Any term

b)

First term

c)

Last term

23.

Find the common ratio for the geometric sequence.

a)

10

b)

1/2

c)

2

d)

4

24.

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

a)

1024, 2048, 4096

b)

32, 8, 2

c)

64, 32, 16

d)

92, 66, 38

25.

Find the first four terms of the sequence given the rule:
a_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

26.

Given the sequence:

125, 25, 5, ....

Write the rule a_n using the geometric sequence formula:

a)

a_n = (125)(1/5)^(n-1)

b)

a_n = 625(1/5)^(n-1)

c)

a_n = 625(5)^(n-1)

d)

a_n = 125 + 5n

27.

Daisy received $2 on her first birthday. Each year, the amount of money she received tripled. How much money will she receive on her 5^th birthday?

a)

$10

b)

$300

c)

$162

d)

$416

28.

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

a)

4

b)

2

c)

5

d)

6

29.

Solving for the nth term of geometric sequence, given thata₁ = 1 and r= 2, what is the value of the 4th term?

a)

2

b)

8

c)

4

d)

16

30.

Find the sum of the first four terms of the geometric sequence that begins with 1 with a common ratio of 3.

a)

25

b)

37

c)

40

d)

80

31.

Determine the next three temrs of the sequence

3, −6, 12, −24, ...

a)

−512, −2048, −8192

b)

512, −2048, 8192

c)

48, −96, 192

d)

1250, 6250, 31250

32.

What is the formula for the nth term of the given sequence

3, −15, 75, −375, ...

a)

$a_n=\left(-5\right)\left(3\right)^{n-1}$

b)

$a_n=\left(3\right)\left(5\right)^{n-1}$

c)

$a_n=\left(3\right)\left(-5\right)^{n-1}$

d)

$a_n=3\left(5\right)^{n-1}$

33.

Find the sum of the geometric sequence

1/8, 1/16, 1/32, . . .

a)

2

b)

1

c)

1/2

d)

1/4

34.

Find the 2 positive geometric means between 3 and 192.

a)

-12, 48

b)

12, 36

c)

9, 27

d)

12, 48

35.

Find the 3 geometric means between 1/2 and 1/32.

a)

1/4, 1/6, 1/8 or -1/4, 1/6, -1/8

b)

1/6, 1/12, 1/16 or -1/6, 1/12, -1/16

c)

1/4, 1/8, 1/16 or -1/4, -1/8, -1/16

d)

1/4, 1/8, 1/16 or -1/4, 1/8, -1/16

36.

Find the geometric mean between 16 and 4

a)

8 or -8

b)

12 or -12

c)

6 or -6

d)

8 or 10

37.

Find S₁₄
7, 2, -3, ...

a)

-812

b)

119

c)

-945

d)

-357

38.

The sequence 28, 34, 40, 46, 52, ..., 88 has 11 terms. Evaluate the related series.

a)

550

b)

638

c)

610

d)

288

39.

Find S_n for the given series:
a₁=22
d=-8
n=21

a)

1911

b)

-1449

c)

-2436

d)

-1218

40.

Find the missing terms of the arithmetic sequence:
145, ___, ___, ___, 205

a)

160, 175, 190

b)

165, 185, 195

c)

155, 165, 175

d)

190, 175, 160

41.

Evaluate the arithmetic series described:
2 + (-2) + (-6) + (-10)..., S₁₀

a)

-160

b)

-328

c)

-320

d)

-336

42.

Evaluate the arithmetic series described:
0 - 7 - 14 - 21..., S₁₇

a)

-959

b)

-1904

c)

-952

d)

-1918

43.

Evaluate the arithmetic series described:
a₁ = 5, a_n = 145, Find S₁₅

a)

1125

b)

2255

c)

2250

d)

2258

44.

You are sitting in row 23 and notice there are 65 seats in your row. The row in front of you has 63 seats and the row behind you has 67 seats. There are 42 rows in the auditorium. How many seats does the auditorium contain? (Hint: Find the number of seats in the first and last rows)

a)

2,604

b)

2,163

c)

2,422

d)

2,803

45.

Which of the following would be a Fibonacci sequence?

a)

1, 2, 3, 4, 5, 6

b)

2, 4, 6, 10, 16, 26

c)

3, 6, 9, 12, 15, 18

d)

4, 2, 1, 1/2, 1/4, 1/8

46.

What was Fibonacci's real name?

a)

Leonardo Pisano

b)

Leo Pisa

c)

The Big Fibber

d)

Leonardo Fibo

47.

What is the Fibonacci number pattern?

a)

Counting up starting from 1 by 1.

b)

Adding the two numbers before it to get the next number.

c)

Multiplying the two numbers before it to get the next number.

d)

Subtracting the two numbers before it to get the next number.

48.

What is the approximate number for the Golden Ratio?

a)

1.1

b)

0.000465

c)

1.61913398875…

d)

1.61803398875…

49.

Select two that fills in one of the blanks

3, 5, __, 13, 21, __, 55, 89,...

a)

34

b)

9

c)

8

d)

28

50.

What Greek Symbol represents The Golden Ratio?

a)

Phi

b)

Psi

c)

Pi

d)

Theta

51.

2, 3, 5, 8, _____

a)

11

b)

12

c)

13

d)

14

52.

_____, _____, 21, 34, 55, 89

a)

2, 3

b)

5, 8

c)

8, 13

d)

13, 21

53.

89, 144, _____, 377, 610, 987, 1597

a)

233

b)

266

c)

333

d)

366

54.

Which of the terms below may form a harmonic sequence?

a)

3, 5, 7, 9, ....

b)

1/2. 1/4, 1/8, 1/16, ...

c)

1/3, 1/6, 1/9, 1/12, ....

d)

2,4,8,16,.....

55.

What do we call this sequence: 1/2, 1/4, 1/6, 1/8...,

a)

Fibonacci Sequence

b)

Harmonic Sequence

c)

Square Sequence

d)

Cube Sequence

56.

What do we call this sequence: 1, 1, 2, 3, 5, 8,...

a)

Fibonacci Sequence

b)

Harmonic Sequence

c)

Square Number Sequence

d)

Triangular Sequence

57.

What is the next term of the sequence: 1/5, 1/18, 1/31, 1/44,...

a)

57

b)

1/57

c)

57/1

d)

None of the above

58.

Given the Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13, 21, ...

Evaluate the sum:

Fib (1) + Fib (3) + Fib (5)

a)

2

b)

3

c)

7

d)

8

Math 10

Total questions: 58

Worksheet time: 2hrs 29mins

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