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PGA-MATHEMATICS 10 SEQUENCE

Total questions: 15

Worksheet time: 25mins

Name
Class
Date
1.

What is a sequence?

a)

Succession of numbers

b)

Succession of numbers in a specific order

c)

Sum of all the terms in a sequence

d)

Specific order

2.

Which of the following is NOT an example of a sequence?

a)

121, 126, 131, 136, ...

b)

95, 98, 100, 103

c)

1/2, 1, 3/2, 2, ...

d)

25, 34, 43, 52

3.

What kind of sequence is 5, 7, 9, 11, 13?

a)

arithmetic

b)

geometric

c)

harmonic

d)

fibonacci

4.

What is the first four terms of the sequence an=2/(n+2)

a)

2/3, 1/2, 2/5, 1/3

b)

2, 3, 4, 5

c)

1/2, 1/3, 1/4, 1/5

d)

6, 3, 1, 0

5.

Find the 30th of 2, 6, 10, ...

a)

116

b)

118

c)

117

d)

119

6.

What is the recursive form of the sequence 7, 12, 17, 22, 27, ...?

a)

an=an-1-5

b)

an=a1+5

c)

an=a1-5

d)

an=an-1+5

7.

Find the 99th term of the sequence in which an=7+(n-1)(3)

a)

98

b)

294

c)

301

d)

394

8.

What is the common difference of the sequence 7, 4, 1, -2, -5?

a)

7

b)

5

c)

3

d)

-3

9.

Find the sum of the arithmetic series: 5+8+11+14+17+20.

a)

37

b)

37.5

c)

75

d)

75.5

10.

Find the 23rd term of the sequence 5.7, 3.6, 1.5, ...

a)

-40.5

b)

-40

c)

40

d)

40.5

11.

The last term of an arithmetic sequence is -104, the common difference is -13, and the number of terms is 13. What is the first term?

a)

50

b)

51

c)

52

d)

53

12.

In an arithmetic sequence, a2=9 and a8=21. Find the first term and the common difference.

a)

a1= 7; d=2

b)

a1= 11; d=-2

c)

a1= 9; d=2

d)

a1= 9; d=-2

13.

The total seating capacity of an auditorium is 1065. The first row has 21 seats and each row has one seat more than the row in front of it. How many rows of seats are there in the auditorium?

a)

25

b)

30

c)

35

d)

40

14.

A pile of soft drink bottle caps has 1 cap on the top layer, 2 caps on the next layer, and so on. How many caps are there in the pile if it contains 26 piles?

a)

349

b)

350

c)

351

d)

352

15.

Lewis is offered Php 20, 000.00 as starting salary for a job, with a raise of Php 2, 000.00 at the end of each year of outstanding performance. If he maintains continuous outstanding performance, what will his salary be at the end of 6 years?

a)

Php 30, 000.00

b)

Php 31, 000.00

c)

Php 32, 000.00

d)

Php 33, 000.00