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Worksheets

PROGRESSIONS

Total questions: 20

Worksheet time: 44mins

Name
Class
Date
1.

Write first four terms of the AP when the first term is -2 and the common difference is 0

a)

-2,0,2,4

b)

-2,-4,-6,-8

c)

-2,-2,-2,-2

d)

None of the above

2.

Is the a,(2a+1),(3a+2),(4a+3),.... sequence an AP ?

a)

Yes

b)

No

3.

Find the sum of the first 51 terms of the AP whose second term is 2 and fourth terms is 8

a)

3774

b)

3904

c)

2424

d)

2544

4.

Find a,b and c if it is given that the numbers a,7,b,23,c are in AP

a)

a=-1,b=15 and c=30

b)

a=-1,b=15 and c=31

c)

a=-1,b=15 and c=32

d)

a=-1,b=15 and c=33

5.

If      4,x1,x2,x3,284,x_1,x_2,x_3,28  are in AP then    x3=?x_3=?  

a)

19

b)

23

c)

22

d)

21

6.

The 10th10^{th} term  of the AP  y, y + 2, y + 4 , ... is 16, find the value of y.

a)

-4

b)

-2

c)

0

d)

2

7.

The 7th term of an AP is 3 times the 2nd term, find a relation between a and d.

a)

a=32da=\frac{3}{2}d

b)

a=23da=\frac{2}{3}d

c)

a=12da=\frac{1}{2}d

d)

a=3da=3d

8.

What is the least number of terms of the AP   3, 72, 4, ...3,\ \frac{7}{2},\ 4,\ ...  to be added to obtain a total greater than 40?

a)

4

b)

5

c)

9

d)

7

9.

The sum of the first 11th term of an AP is 120, and the sum of the first 12th term is 132. Find the value of the 12th term.

a)

12

b)

-12

c)

32

d)

-32

10.

The first three terms of an AP are -2, -4, -6, .... Find the sum of the 25 terms after the 3rd term.

a)

-812

b)

-800

c)

-788

d)

-650

11.

The first three terms of an AP are -2, -4, -6, .... Find the sum of the 25 terms after the 3rd term.

a)

-812

b)

-800

c)

-788

d)

-650

12.

Given the ratio between between the sixth term and the third term of a geometric progression is 1 : 64. Find the common ratio...choose the correct answer

a)

1/8

b)

1/4

c)

1/2

d)

1/16

13.

A large piece of paper, of thickness 0.02 mm, in the shape of a square, is folded. What is the thickness of the

folded paper if it is folded 10 times.

(a)  

14.

In the year 2014, Syarikat Sayo increased its sales of microwaves at a constant rate of 150 microwaves per month.

Thus the number of microwaves sold in February was 150 more than that in January, the number of microwaves sold in

March was 150 more than that in February, and this pattern continued month by month throughout the year. Given that

the price of the microwave is RM 650 each and the company sold 39 900 microwaves in year 2014, calculate the

income of the company in December.

(a)  

15.

The nth term of a geometric progression is given by Tn = 33n-2 . Find its first term and common ratio.

(a)  

16.

0.345345345… is a recurring decimals. Express its as a fraction or mixed number in simplest form.

(a)  

17.

A body falls 8 metres in the first second of its motion, 24 metres in the second, 40 metres in the third second and so on. How long will it take to fall 2048 metres?

a)

24 sec

b)

256 sec

c)

16 sec

d)

18 sec

18.

factory produced 1100 cars in the third year and 2700 cars in the 11th year. Assuming that the production increases by a fixed number every year, find the production of cars in the 20th years and total cars produced in first 20 years?

a)

4500 and 51,000

b)

4500 and 52,000

c)

4300 and 53,000

d)

4300 and 54,000

19.

In a geometric progression, the common ratio is 3 and the sum of the first three terms is 65. Find the sum of two consecutive terms after the third terms of the progression.

(a)  

20.

Given that the third, fifth and the eighth term of an arithmetic progression are the three consecutive terms of a geometric progression. Find the common ratio of the geometric progression.

(a)