Arithmetic Progressions Practice 1: Patterns and nth Term

Section A: AP Basics

Question 1mcq

Which sequence is an arithmetic progression?

A.

2,4,8,16

B.

5,9,13,17

C.

1,4,9,16

D.

10,5,2,1

Question 2mcq

A student says

3,6,12,24

is an AP because the numbers increase. What is the mistake?

A.The first term is not positive.

B.The common difference is not constant.

C.The sequence must have exactly three terms.

D.The terms are not integers.

Question 3mcq

For the AP

12, 9, 6, 3, \ldots

, what are the first term and common difference?

A.

a=12, d=-3

B.

a=12, d=3

C.

a=-3, d=12

D.

a=9, d=-3

Question 4mcq

The table shows an AP: term number

n

:

1,2,3,4

; term value:

7,11,15,19

. What is

d

?

A.

3

B.

4

C.

7

D.

11

Question 5mcq

Find the

15

th term of the AP

4, 9, 14, \ldots

.

A.

69

B.

74

C.

75

D.

79

Section B: nth Term and Missing Values

Question 6mcq

In an AP,

a=18

and

d=-2

. Which term is

0

?

A.

8

th term

B.

9

th term

C.

10

th term

D.

11

th term

Question 7mcq

In the AP

5, 8, 11, \ldots

, which term is

50

?

A.

14

th

B.

15

th

C.

16

th

D.

17

th

Question 8mcq

The

n

th term of an AP is

a_n=3n+2

. Which term is

47

?

A.

13

th

B.

14

th

C.

15

th

D.

16

th

Question 9mcq

An AP has

a_5=22

and common difference

4

. What is the first term?

A.

4

B.

6

C.

8

D.

10

Question 10mcq

In an AP,

a_3=10

and

a_8=30

. What is the common difference?

A.

2

B.

3

C.

4

D.

5