**MCQs Questions for Class 10 Maths Chapter 5 Arithmetic Progressions**

In this 21^{st} century, Multiple Choice Questions (MCQs) play a very important role to prepare for a competitive examination. CBSE board also gives a number of MCQs questions in board examinations. In most of the competitive examinations, only MCQ Questions are asked.

In future, if you want to prepare for competitive examination, then you should focus on the MCQs questions. Thus, let’s solve these MCQs questions to make our foundation strong.

In this post, you will find **20** **MCQs questions for class 10 maths chapter 5 arithmetic progressions**.

**MCQs Questions for Class 10 Maths Chapter 5
Arithmetic Progressions**

**1.**
The n^{th} term of an A.P. is given by a_{n} = 3 +
4n. The common difference is

(A) 7

(B) 3

(C) 4

(D) 1

**Answer:
C**

**2.** The
first four terms of an AP, whose first term is –2 and the common difference is
–2, are

(A) – 2, 0,
2, 4

(B) – 2, 4,
– 8, 16

(C) – 2, –
4, – 6, – 8

(D) – 2, – 4, – 8, –16

**Answer: C**

**3.**
If the sum of three numbers in an A.P. is 9 and their product is 24, then
numbers are

(A) 2, 4, 6

(B) 1, 5, 3

(C) 2, 8, 4

(D) 2, 3, 4

**Answer: D**

**4.**
First four terms of the sequence a_{n} = 2n + 3 are

(A) 3, 5, 7, 9

(B) 5, 7, 9, 11

(C) 5, 8, 11, 14

(D) 1, 3, 5, 7

**Answer: B**

**5.** The
21st term of the AP whose first two terms are –3 and 4 is

(A) 17

(B) 137

(C) 143

(D) –143

**Answer: B**

**6.**
The n^{th} term of an A.P. 5, 2, -1, -4, -7 … is

(A) 2n + 5

(B) 2n – 5

(C) 8 – 3n

(D) 3n – 8

**Answer: C**

**7.**
If nth term of an AP is 7 – 4n, then its common difference is

(A) 4

(B) -4

(C) 3

(D) 11

**Answer: D**

**8.** If
the 2nd term of an AP is 13 and the 5th term is 25, what is its 7th term?

(A) 30

(B) 33

(C) 37

(D) 38

**Answer: B**

**9.**
Find the sum of 12 terms of an A.P. whose nth term is given by a_{n} =
3n + 4.

(A) 262

(B) 272

(C) 282

(D) 292

**Answer: A**

**10.**
If p – 1, p + 3, 3p – 1 are in AP, then p is equal to

(A) 4

(B) -4

(C) 2

(D) -2

**Answer: A**

**11.** If
the common difference of an AP is 5, then what is a_{18} – a_{13}?

(A) 5

(B) 20

(C) 25

(D) 30

**Answer: C**

**12.**
The sum of first n odd natural numbers is

(A) 2n²

(B) 2n + 1

(C) 2n – 1

(D) n²

**Answer: D**

**13.**
The sum of the first 2n terms of the AP: 2, 5, 8, …. is equal to sum of the
first n terms of the AP: 57, 59, 61, … then n is equal to.

(A) 10

(B) 11

(C 12

(D) 13

**Answer: B**

**14.** The
sum of first five multiples of 3 is

(A) 45

(B) 55

(C) 65

(D) 75

**Answer: A**

**15.** If a, b, c, d, e are in A.P., then the value of a – 4b + 6c
– 4d + e is

(A) 0

(B) 1

(C) -1.

(D) 2

**Answer: A**

**16.** Which term of the AP: 27, 24, 21, ……… is zero?

(A) 8th

(B) 10th

(C) 9th

(D) 11^{th}

**Answer: B**

**17.** Two
APs have the same common difference. The first term of one of these is –1 and
that of the other is –8. Then the difference between their 4th terms is

(A) –1

(B) –8

(C)
7

(D) –9

**Answer: C**

**18.** The 10th term from the end of the A.P. 4, 9,14, …, 254 is

(A) 209

(B) 205

(C) 214

(D) 213

**Answer: A**

**19.** The sum of first n terms of the series a, 3a, 5a, …….. is

(A) na

(B) (2n – 1)a

(C n²a

(D) n²a²

**Answer: C**

**20.** In an
AP, if a = 1, a_{n} = 20 and S_{n} = 399, then n is

(A) 19

(B) 21

(C)
38

(D) 42

**Answer: C**