Free Printable Quiz No. 2 First Grading Math 10

1.

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

a)

4

b)

2

c)

5

d)

6

2.

What is the 5th term of the sequence 7, 14, 28, ...?

a)

72

b)

48

c)

56

d)

112

3.

Which of the following is a geometric sequence?

a)

2, 4, 5, . . .

b)

2, 6, 18, . . .

c)

2, 4, 6, . . .

d)

10, 20, 200, . . .

4.

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

a)

-6

b)

6

c)

12

d)

-4

5.

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

6.

Solving for the nth term of geometric sequence, given thata₁ = 4 and r= 6, what is the value of the 4th term?

a)

144

b)

864

c)

124

d)

764

7.

What is the common ratio of the geometric sequence -2, -8, -32, -128, ...?

a)

-4

b)

4

c)

-2

d)

2

8.

What is the 5th term of the geometric sequence -2, -8, -32, -128, ...?

a)

-2048

b)

-512

c)

-256

d)

-384

9.

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

10.

Evaluate the sum of the geometric sequence 1 + 2 + 4 + 8..., n = 6

a)

63

b)

60

c)

46

d)

56

11.

Find the sum of 125 + 25 + 5 +... + S₉

a)

$\frac{488280}{3125}$

b)

$\frac{488281}{3125}$

c)

$\frac{3125}{488280}$

d)

$\frac{3125}{488281}$

12.

The expression formed by adding the terms of a geometric sequence is called _______

a)

Geometric sequence

b)

Geometric means

c)

Geometric series

d)

Common ratio

13.

In geometric series if r = -1, and n is odd number, then the sum of its geometric sequence is equal to

a)

0

b)

its first term

c)

1

d)

its common ratio

14.

Find the sum of the first 6 terms of a geometric sequence -336, 84, -21, ...

a)

$\frac{-17199}{64}$

b)

$\frac{64}{17199}$

c)

$\frac{-64}{17199}$

d)

$\frac{17199}{64}$

15.

In geometric sequence if r = -1 and n is even number , then the sum is equal to

a)

0

b)

1

c)

its first term

d)

its common ratio

16.

What is the common ratio in the sequence

2\sqrt{x},\ 6\sqrt{x},\ 18\sqrt{x},\ ...

?

a)

2

b)

$\sqrt{x}$

c)

$3\sqrt{x}$

d)

3

17.

What is the sum of the first 7 terms of a geometric sequence 4, 2, 1, ...?

a)

$\frac{16}{127}$

b)

$\frac{127}{16}$

c)

16

d)

127

18.

9 + 6 + 4 + ..., the find S₇

a)

$\frac{2059}{81}$

b)

$-\frac{2059}{81}$

c)

$-\frac{81}{2059}$

d)

$\frac{81}{2059}$

19.

Find the sum of the first 10 terms of a geometric sequence 5, 10, 20, ...

a)

5115

b)

5114

c)

5113

d)

5112

20.

A culture initially contains 200 bacteria. If the number of bacteria doubles every 2 hours, how many bacteria will be in the culture at the end of 12 hours?

a)

12400

b)

12500

c)

12600

d)

12700

21.

Insert one geometric mean between -4 and -100.

a)

-15

b)

-20

c)

-25

d)

-50

22.

Which of the following should be inserted between 3 and 192 to make a geometric sequence?

a)

12, 48

b)

16, 32

c)

14, 38

d)

12, 36

23.

Insert three geometric means between 3 and 243.

a)

9,27,81

b)

81,27,9

c)

81,27,3

d)

9,18,27

24.

Insert a geometric mean in the geometric sequence:

2, 8, (a) , 128,...

25.

The two geometric means between the numbers 1 and 64 are

a)

1 and 64

b)

2 and 16

c)

4 and 16

d)

8 and 16

26.

Find the sum of the infinite geometric series, if it exists. $\sum_{n=1}^{\infty}8\left(\frac{1}{5}\right)^{n-1}$

a)

8

b)

8/5

c)

10

d)

Does not exist

27.

Which of the series below is CONVERGENT?

a)

a₁=4, 1.5a_n-1, n≥2

b)

a_n=-n²- 8n +106

c)

a_n = 5/10ⁿ

d)

a_n = 5n + 6

28.

Which of the following is DIVERGENT?

a)

2+4+8+16+...

b)

25+5+1+0.2+...

c)

100+50+25+5+...

d)

3(.25)ⁿ = A_n

29.

Is the sequence convergent or divergent?

a)

Convergent

b)

30.

Determine whether the sequence is convergent or divergent:

a_n=2 (⅓)^n-1

a)

Convergent

b)

31.

Evaluate the infinite geometric series:

1 + 1/5 + 1/25 + ...

a)

5/4

b)

9/5

c)

5/6

d)

65/27

32.

Evaluate the infinite geometric series:

3 - 2 + 4/3 - 8/9 + ...

a)

5/4

b)

9/5

c)

5/6

d)

65/27

33.

What best describes the following infinite geometric series:

1/3 - 1/9 + 1/27 - 1/81 + ...

a)

Diverges

b)

Converges

34.

Find the sum of the infinite geometric series, if it exists. $\frac{1}{2}-\frac{5}{3}+\frac{50}{9}-\frac{500}{27}+...$

a)

205

b)

19.5

c)

108.75

d)

Does Not Exist

35.

$\sum_{k=1}^{\infty}\left(\frac{4}{5}\right)^{k-1}$ Find the sum of the series if it exists.

a)

4/5

b)

5

c)

6.5

d)

Does not exist

Quiz No. 2 First Grading Math 10

Total questions: 35

Worksheet time: 1hrs 10mins

Similar Resources on Wayground