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Worksheets

Arithmetic Progression

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.
The next two terms of the sequence
4, 7, 10, 13 are ....
a)
16 and 19
b)
15 and 19
c)
16 and 18
d)
15 and 18
2.
Find the 10th term.
a)
16
b)
12
c)
21
d)
30
3.

The list of numbers

-10, -6, -2, 2..... is

a)

an AP with d = - 16

b)

an AP with d = 4

c)

an AP with d = - 4

d)

not an AP

4.

2019th term of an AP is written as

a)

a + 2018d

b)

a + (2019 + 1) d

c)

2018 d

d)

2a + 2018 d

5.

The 5th term of an AP is -3 and its common difference is -4. The sum of its first 10 terms is_________

a)

50

b)

-50

c)

30

d)

-30

6.

The common difference of the AP  1p\frac{1}{p} , 1pp\frac{1-p}{p}  , 12pp\frac{1-2p}{p}  ........is

a)

p

b)

-p

c)

-1

d)

1

7.

The sum of first 'n' terms of an AP is (3n2 + 6n). The common difference of the AP is ______

a)

6

b)

9

c)

15

d)

-3

8.

What is the formula for the  nthn^{th}  term of the AP   23, 1, 43, ...\frac{2}{3},\ 1,\ \frac{4}{3},\ ...  

a)

 Tn=13(n1)T_n=\frac{1}{3}\left(n-1\right)  

b)

 Tn=13(n+1)T_n=\frac{1}{3}\left(n+1\right)  

c)

 Tn=23(n+1)T_n=\frac{2}{3}\left(n+1\right)  

d)

 Tn=23(n1)T_n=\frac{2}{3}\left(n-1\right)  

9.

If 7 times the 7th term of an AP is equal to 11 times its 11th term, then its 18th term will be

a)

7

b)

11

c)

18

d)

0

10.

Find the sum of 2+4+6+.....+200

a)

108

b)

10100

c)

40703

d)

-8930

11.

How many numbers of two digit are divisible by 3 ?

a)

35

b)

25

c)

30

d)

31

12.

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

a)

Yes

b)

No

13.

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

14.

In an AP if a=3.5, d=0 and n=100 then An will be

a)

103.5

b)

0

c)

3.5

d)

100

15.

In AP 2, x, 26, value of x is..

a)

14

b)

13

c)

12

d)

-13