**MCQs Questions for Class 11 Maths Chapter 9 Sequence and Series**

In this 21^{st} century, Multiple Choice Questions (MCQs) play a vital role to prepare for a competitive examination. CBSE board has also brought a major change in its board exam patterns. Now-a-days, a total of 10 MCQs questions are asked in the class 10 board examination.

In most of the competitive examinations, only MCQ questions are asked. So, for getting ready for the competitive examinations, we have to practice for MCQs questions to solve. It strengthens the critical thinking and problem solving skills.

In future, if you want to prepare for competitive examination and to crack it, then you should more focus on the MCQ questions. Thus, from the board examinations point of view and competitive examinations point of view, you should practice more on multiple choice questions.

Thus, let’s solve these MCQs Questions to make our foundation very strong.

**MCQs Questions for Class 11
Maths Chapter 9 Sequence and Series**

**1.** If a, b, c are in AP, then

(a) b = a + c

(b) 2b = a + c

(c) b² = a + c

(d) 2b² = a + c

**Answer: b**

**2. **What is the n^{th} term of an A.P.?

(a) a_{n} = a + (n-1)
d

(b) a_{n} = a + (n) d

(c) a_{n} = a × r^{n-1}

(d) a_{n} = a × r^{n}

**Answer: a**

**3. **The sum of n terms of the series (1/1.2) + (1/2.3) + (1/3.4)
+ …… is

(a) n/(n + 1)

(b) 1/(n + 1)

(c) 1/n

(d) None of these

**Answer: a**

**4. ** If an A.P. is 3, 5, 7, 9 ……., then the 12^{th} term of the A.P. is

(a) 12

(b) 21

(c) 22

(d) 25

**Answer: d**

**5.** If 1/(b + c), 1/(c + a)
and 1/(a + b) are in AP, then

(a) a, b, c are in AP

(b) a², b², c² are in AP

(c) 1/1, 1/b, 1/c are in AP

(d) None of these

**Answer: b**

**6. ** If 3^{rd} term of an
A.P. is 6 and 5^{th} term of the A.P. is 12, then
the 21^{st} term of the A.P. is

(a) 40

(b) 42

(c) 60

(d) 63

**Answer: c**

**7. **The sum of the series 1/2! +
1/4! + 1/6! + ….. is

(a) e² – 1 / 2

(b) (e – 1)² /2 e

(c) e² – 1 / 2 e

(d) e² – 2 / e

**Answer: b**

**8. ** If the sum of n terms of an A.P. is n^{2 }+ 5n, then the general term of the A.P. is

(a) n + 1

(b) 2n

(c) 3n

(d) n^{2 }+ 3n

**Answer: b**

**9. **The third term of a geometric progression is 4. The product
of the first five terms is

(a) 4^{3}

(b) 4^{5}

(c) 4^{4}

(d) none of these

**Answer: b**

**10. **If the first term of a G.P. is 20 and the common ratio is 4, then
the 5^{th} term is

(a) 10240

(b) 40960

(c) 5120

(d) 2560

**Answer: c**

**11. **The sum of two numbers is 13/6. An even number of arithmetic
means are being inserted between them and their sum exceeds the number by 1.
Then the number of means inserted is

(a) 2

(b) 4

(c) 6

(d) 8

**Answer: c**

**12.** In the G.P. 4, 8, 16, 32, …………, the sum up to 5^{th} term is

(a) 16

(b) 64

(c) 128

(d) 124

**Answer: d**

**13. **The first term of a G.P. is 1. The sum of the third term and
fifth term is 90. The common ratio of G.P. is

(a) 1

(b) 2

(c) 3

(d) 4

**Answer: c**

**14. **In a G.P., if 5^{th} term is 27
and 8^{th} term is 729, then its 11^{th} term is

(a) 729

(b) 2187

(c) 6561

(d) 19683

**Answer: d**

**15. **If 2/3, k and 5/8 are in AP, then the value of k is

(a) 31/24

(b) 31/48

(c) 24/31

(d) 48/31

**Answer: b**

**16. **If the sum of the first three terms of a G.P. is 21/2 and
their product is 27, then the common ratio is

(a) 2

(b) 1/2

(c) 2 or 1/2

(d) neither 2 nor 1/2

**Answer: c**