Free Printable Arithmetic Progression

1.

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

2.

Choose the correct answer from the given four options:
The 21st term of the AP whose first two terms are –3 and 4 is

a)

17

b)

137

c)

-137

d)

127

3.

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

a)

9^th

b)

10^th

c)

11^th

d)

12^th

4.

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

a)

5

b)

15

c)

25

d)

10

5.

If the first term of an AP is –5 and the common difference is 2, then the sum of the first 6 terms is

a)

0

b)

5

c)

6

d)

15

6.

The famous mathematician associated with finding the sum of the first 100 natural numbers is

a)

Euclid

b)

Newton

c)

Pythagoras

d)

Gauss

7.

Can the common difference of Arithmetic Progression be negative?

a)

YES. POSSIBLE

b)

NO. NOT POSSIBLE

8.

A list of numbers -10, -6, -2, 2 is _________

a)

an A.P with d = -16

b)

an A.P with d = 4

c)

an A.P with d = -4

d)

Not an A.P

9.

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

a)

$\sqrt{70}$

b)

$\sqrt{84}$

c)

$\sqrt{98}$

d)

$\sqrt{112}$

10.

The sum of first 20 odd natural numbers is

a)

100

b)

210

c)

400

d)

420

11.

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

12.

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)

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

13.

If 4, x₁,x₂,x₃,28 are in AP then x₃ is ______

a)

19

b)

23

c)

22

d)

cannot be determined.

14.

Check whether – 150 is a term of the AP: 11, 8, 5, 2 . . .

a)

Yes, -150 is a term of the given AP

b)

No, -150 is not a term of the given AP

15.

If the nth term of the A. P. 9, 7, 5.... is same as the nth term of the A. P. 15, 12, 9...... find n.

a)

7

b)

6

c)

8

d)

5

16.

Whether it is true to say that the following are the nth terms of an AP
I. 2n-3
II. $3n^2+5$

III.

1+n+n^2

a)

Only I is an AP

b)

All 3 are in AP

c)

only II and III are in AP

d)

Only III is an AP

17.

If the 3rd and the 9th terms of an A.P are 4 and − 8 respectively, then which term of this A.P is zero.

a)

6

b)

7

c)

8

d)

5

18.

Find the sum of 3 digit numbers which are not divisible by 7?

a)

424146

b)

461424

c)

426414

d)

424164

19.

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

20.

a)

78

b)

73

c)

27

d)

72

21.

Find the value of p, so that (3p + 7), (2p+5), (2p + 7) are in A.P

a)

3

b)

-4

c)

-3

d)

2

22.

Solve for x :

1 + 4 + 7 + 10 + . . . + x = 287

a)

80

b)

40

c)

30

d)

50

23.

The angles of a triangle are in A.P, the least being half the greatest. Find the angles

(Note: the answer format should be least angle, 2nd least angle and greatest angle. Ex: 10,20,30)

(a)

24.

20th term of A.P. whose first term = 10, common difference = 3 is 67

a)

True

b)

False

25.

The fee charged every month by a school from Classes I to XII forms an AP, when the monthly fee for Class I is Rs 250, and it increases by Rs 50 for the next higher class.

a)

True

b)

False

c)

Cannot Be Determined

Arithmetic Progression

Total questions: 25

Worksheet time: 1hrs 5mins

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