Free Printable Arithmetic Progression: Quiz

1.

Is the sequence : 1, ½, ⅓, ¼, ...... an Arithmetic Progression?

a)

YES.

b)

NO

2.

What is the first positive term of the sequence: -9, -5, -1, .......

a)

5

b)

4

c)

3

d)

1

3.

Can the common difference of Arithmetic Progression be negative?

a)

YES. POSSIBLE

b)

NO. NOT POSSIBLE

4.

What is the common difference of the Arithmetic Progression: -1, -1, -1, -1, ..........

a)

0

b)

1

c)

2

d)

-1

5.

In an Arithmetic Progression, common difference d = 3, then t₅ - t₇ is equal to ____

a)

2

b)

-2

c)

6

d)

-6

6.

Which term of the AP: 21, 42, 63, 84,... is 210?

a)

9^th

b)

10^th

c)

11^th

d)

12^th

7.

Choose the correct answer from the given four options:
In an AP, if d = –4, n = 7, a_n = 4, then a is

a)

6

b)

7

c)

20

d)

28

8.

Choose the correct answer from the given four options:
In an AP, if a = 3.5, d = 0, n =101 ,then a_n will be

a)

0

b)

3.5

c)

-3.5

d)

1

9.

Choose the correct answer from the given four options:
In an AP if a = –7.2, d = 3.6, a_n = 7.2, then n

a)

2

b)

3

c)

4

d)

5

10.

If the common difference of an AP is 5, then what is a₁₈ – a₁₃ ?

a)

5

b)

15

c)

25

d)

10

11.

What is the common difference of an AP in which a₁₈ – a₁₄ = 32?

a)

4

b)

6

c)

8

d)

10

12.

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

13.

The 4th term from the end of the AP: –11, –8, –5, ..., 49 is

a)

37

b)

40

c)

43

d)

58

14.

The 8th term of an AP is 17 and 14th term of an AP is 29. The common difference of the AP is _______

a)

3

b)

2

c)

5

d)

-2

15.

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

a)

$T_n=\frac{1}{3}\left(n-1\right)$

b)

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

c)

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

d)

$T_n=\frac{2}{3}\left(n-1\right)$

16.

2019^th term of an AP is written as

a)

a + 2018d

b)

a + (2019 + 1) d

c)

2018 d

d)

2a + 2018 d

17.

The next term of an AP $\sqrt{7}$ , $\sqrt{28}$ , $\sqrt{63}$ ,......is

a)

$\sqrt{70}$

b)

$\sqrt{84}$

c)

$\sqrt{98}$

d)

$\sqrt{112}$

18.

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

a)

p

b)

-p

c)

-1

d)

1

19.

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

a)

$T_n=\frac{1}{3}\left(n-1\right)$

b)

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

c)

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

d)

$T_n=\frac{2}{3}\left(n-1\right)$

20.

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

a)

7

b)

11

c)

18

d)

0

21.

Find the first term of the given sequence:
a₁₄=68
d=3

a)

14

b)

20

c)

26

d)

29

22.

Find the number of all three digit natural numbers which are divisible by 9

a)

50

b)

96

c)

100

d)

105

23.

Which terms of the AP 5,9,13,17,.... is 81 ?

a)

18th

b)

19th

c)

20th

d)

21th

24.

If the first term of an AP is 2 and common difference is 4, then the sum of its 40 terms is

a)

3200

b)

1600

c)

200

d)

2800

25.

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

a)

Yes

b)

No

26.

Find n if the given value if x is the n^th term of the given AP -1,-3,-5,-7,..... x=-151

a)

65

b)

67

c)

76

d)

45

27.

The next term of an AP $\sqrt{7}$ , $\sqrt{28}$ , $\sqrt{63}$ ,......is

a)

$\sqrt{70}$

b)

$\sqrt{84}$

c)

$\sqrt{98}$

d)

$\sqrt{112}$

28.

For what value of n, are the nth terms of two APs 63, 65, 67, and 3, 10, 17, … equal?

a)

13

b)

12

c)

11

d)

10

29.

How many three digit numbers are divisible by 7?

a)

108

b)

118

c)

128

d)

138

30.

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

a)

$a=\frac{3}{2}d$

b)

$a=\frac{2}{3}d$

c)

$a=\frac{1}{2}d$

d)

$a=3d$

31.

The (n – 1)th term of an A.P. is given by 7,12,17, 22,… is

a)

5n+2

b)

5n+3

c)

5n-2

d)

5n-3

32.

If the nth term of an AP is (2n+1) then the sum of its first three terms is

a)

6n+3

b)

15

c)

12

d)

21

33.

Determine K so that $\ k_2+4k+8,\ 2k_2+3k+6,\ 3k_2+4k+4$

are three consecutive terms of an AP

a)

K = 0

b)

K = -1

c)

k = 1

d)

k = 3

34.

If four numbers in AP are such that their sum is 50 and the greatest number is four times the least , then the numbers are

a)

5,10,15,20

b)

4,10,16,22

c)

3,7,11,15

d)

none of these

35.

If a constant is multiplied to A.P. then resulting sequence is also an A.P.

a)

True

b)

False

Arithmetic Progression: Quiz - I

Total questions: 35

Worksheet time: 19mins

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