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Worksheets

Grade 10-Gallium

Total questions: 20

Worksheet time: 9mins

Name
Class
Date
1.

Which of the following shows a pattern?

a)

3, 2, 3, 2, 3, 2

b)

5, 7, 2, T, 6, Y

c)

A, G, M, T, 0, 9

d)

smooth, long, wall, sing

2.

What is the 11th term in the sequence −1, 4, −9, 16, −25, ..?

a)

100

b)

−100

c)

121

d)

−121

3.

Which numerical pattern follows the rule “the next term is obtained by alternately subtracting 3 and multiplying by 2”, when starting with 5?

a)

5, 10, 20, 40, 50

b)

5, 2, 4, 1, 2

c)

5, 2, −1, −4, −7

d)

5, 8, 16, 19, 38

4.

Which of the following is the common difference in the sequence 0, 4, 8, 12, …?

a)

1

b)

2

c)

3

d)

4

5.

Which of the following is the common difference of an arithmetic sequence if 𝑎3 = 4 and 𝑎5 = 14?

a)

6

b)

5

c)

4

d)

3

6.

Which of the following is NOT an arithmetic sequence?

a)

-5, -2, 1, 4

b)

11, 14, 17, 20

c)

1, 4, 7

d)

3, 7, 12, 18

7.

Which is NOT true about the arithmetic sequence: 25, 32, 39, 46, …?

a)

The common difference is 7.

b)

The 7th term is 60.

c)

the 6th term is 60.

d)

the 8th term is 74.

8.

If a3 = 11 and a5 = 7 and ak is the kth term of the sequence and ak = -9, then what is the value of k?

a)

11

b)

12

c)

13

d)

14

9.

Which term of the arithmetic sequence 5, 9, 13, 17, … is 409?

a)

99th term

b)

100th term

c)

111th term

d)

102th term

10.

Find the 21st term of the arithmetic sequence 6, 9, 12, 15,…

a)

61

b)

60

c)

62

d)

66

11.

Which of the following is a formula for arithmetic series?

a)

b)

c)

d)

12.

Mrs. De la Cruz started her business with an income of Php 250,000 for the first year and an increase of Php 6,000 yearly. How much is the total income of Mrs. De la Cruz for 6 years since she started her business?

a)

Php 530,000

b)

Php 3,180,000

c)

Php 1,590,000

d)

Php 1,608,000

13.

Which of the following statements is true to all geometric sequences?

a)

If the common ratio is negative, then the sequence is increasing.

b)

If the common ratio is negative, then all the terms of the sequence is also negative.

c)

. If the common ratio is less than one, then the sequence is decreasing.

d)

If the common ratio is less than one, then the sequence is increasing.

14.

. If the common ratio of a sequence is –3 and the first term is 3, then the fourth term is ___.

a)

27

b)

-27

c)

-81

d)

81

15.
a)

-1

b)

-1/2

c)

0

d)

-1/2

16.

What term fits on the blank in the sequence ____ , 0, 3, 6, …?

a)

-3

b)

0

c)

3

d)

6

17.

The first term of a geometric sequence is 2, and the second term is 10, what is the fifth term?

a)

250

b)

100

c)

500

d)

1250

18.

Find the sum of the first six terms of a geometric sequence whose first term is 2 and common ratio is 2/3

a)

1330/243

b)

1234/4567

c)

760/4551

d)

3990/729

19.

What is the next value of the Fibonacci sequence: 21, 34, 55, ___, 144?

a)

89

b)

63

c)

83

d)

43

20.

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