# Class 11 Mathematics Chapter 9 Sequences and Series MCQ Questions with Answer

Sequences and Series Class 11 MCQ is one of the best strategies to prepare for the CBSE Class 11 Board exam. If you want to complete a grasp concept or work on one’s score, there is no method except constant practice. Students can improve their speed and accuracy by doing more Sequences and Series class 11 MCQ which will help them all through their board test.

## Sequences and Series Class 11 MCQ Questions with Answer

Class 11 Math MCQ with answers are given here to Chapter 9 Sequences and Series. These MCQs are based on the latest CBSE board syllabus and relate to the latest Class 11 Mathematics syllabus. By Solving these Class 11 MCQs, you will be able to analyze all of the concepts quickly in the Chapter and get ready for the Class 11 Annual exam.

Learn Sequences and Series Class 11 MCQ with answers pdf free download according to the latest CBSE and NCERT syllabus. Students should prepare for the examination by solving CBSE Class 11 Sequences and Series MCQ with answers given below.

Question 1. In an AP. the pth term is q and the (p + q)th term is 0. Then the qth term is
(a) – p
(b) p
(c) p + q
(d) p – q

B

Question 2. If roots of the equation x3 – 12x2 + 39 x – 28 = 0 are in AP, then its common difference is
(a) ± 1
(b) ± 2
(c) ± 3
(d) ± 4

C

Question 3. If a, b, c, d, e, f are in A.P., then e – c is equal to:
(a) 2(c – a)
(b) 2(d – c)
(c) 2(f – d)
(d) (d – c)

B

Question 4. The product of first nine terms of a GP is, in general, equal to which one of the following?
(a) The 9th power of the 4th term
(b) The 4th power of the 9th term
(c) The 5th power of the 9th term
(d) The 9th power of the 5th term

D

Question 5. In a G.P. if (m + n)th terms is p and (m – n)th term is q, then mth term is:
(a) p/q
(b) q/p
(c) pq
(d) √pq

D

Question 6. A sequence containing a finite number of terms is called a……………….
(a) Finite sequence
(b) A.P. sequence
(c) G.P. sequence
(d) General sequence

A

Question 7. The third term of a geometric progression is 4.
The product of the first five terms is :
(a) 43
(b) 45
(c) 44
(d) 47

B

Question 8. For a, b, c to be in G.P. What should be the value of a-b /b-c ?
(a) ab
(b) bc
(c) a/b or b/c
(d) None of these

C

Question 9. What is the sum of terms equidistant from the beginning and end in an A.P. ?
(a) First term – Last term
(b) First term × Last term
(c) First term + Last term
(d) First term ¸ Last term

C

Question 10. Find 4th term from the end of the G.P. 3, 6, 12, 24., ………., 3072.
(a) 348
(b) 843
(c) 438
(d) 384

D

Question 11. If ax = by = cz, where a, b, c are in G.P. and a,b, c, x, y, z ¹ 0; then x, y, z are in:
(a) A.P.
(b) G..P.
(c) H.P
(d) none of these

C

Question 12. The fourth, seventh and tenth terms of a G.P. are p, q, r respectively, then :
(a) p2 = q2 + r2
(b) q2 = pr
(c) p2 = qr
(d) pqr + pq + 1 = 0

B

Question 13. A man saves ₹135/- in the first year, ₹150/- in the second year and in this way he increases his savings by ₹15/- every year. In what time will his total savings be ₹5550/-?
(a) 20 years
(b) 25 years
(c) 30 years
(d) 35 years

A

Question 14. The A. M. between two positive numbers a and b is twice the G. M. between them. The ratio of the numbers is
(a) (√2 + 3) : (√2 – 3)
(b) (2 + √3 ) : (2 – √3 )
(c) ( √3 + 1) : ( √3 – 1)
(d) None of these

B

Question 15. If 1, a and P are in A. P. and 1, g and P are in G. P., then
(a) 1 + 2a + g2 = 0
(b) 1 + 2a – g2 = 0
(c) 1 – 2a – g2 = 0
(d) 1 – 2a + g2 = 0

D

Whoever needs to take the CBSE Class 11 Board Exam should look at this MCQ. To the Students who will show up in CBSE Class 11 Mathematics Board Exams, It is suggested to practice more and more questions. Aside from the sample paper you more likely had solved. These Sequences and Series Class 11 MCQ are ready by the subject specialists themselves.

Question 16. A sequence may be defined as a
(a) relation, whose range Í N (natural numbers)
(b) function whose range Í N
(c) function whose domain Í N
(d) progression having real values

C

Question 17. If 5 (3a – 1 + 1), (62a – 3 +2) and 7(5a – 2 + 5) are in AP, then what is the value of a?
(a) 7
(b) 6
(c) 5
(d) none

D

Question 18. If x + 1, 4x + 1, and 8x + 1 are in geometric progression, then what is the non-trivial value of x ?
(a) – 1
(b) 1
(c) 1/8
(d) 1/4

C

Question 19. The 10 th common term between the series 3 + 7 + 11 + …. and 1 + 6 + 11 + …. is
(a) 191
(b) 193
(c) 211
(d) None of these

A

Question 20. If a, b, c are in G.P. then 1/a2-b2 + 1/b2 is
(a) 1/c2 – b2
(b) 1/b2-c2
(c) 1/c2 – a2
(d) 1/b2-a2

B

Question 21. The value of 3 –1 + 1/3 – 1/9 +……….is equal to:
(a) 20/9
(b) 9/20
(c) 9/4
(d) 4/9

C

Question 22. If the pth, qth and rth terms of a G.P. are again in G.P., then which one of the following is correct?
(a) p, q, r are in A.P.
(b) p, q, r are in G.P.
(c) p, q, r are in H.P.
(d) p, q, r are neither in A.P. nor in G.P. nor in H.P.

A

Question 23. Let a1, a2, a3, ………..be the sequence, then the sum expressed as a1 + a2 + a3 + …… + an is called ……..
(a) Sequence
(b) Series
(c) Finite
(d) Infinite

B

Question 24. In a Geometric Progression with first term a and common ratio r, what is the Arithmetic Mean of the first five terms?
(a) a + 2r
(b) a r2
(c) a (r5 – 1)/[5(r – 1)]
(d) a (r4 – 1)/[5(r – 1)]

C

Question 25. What is the sum of the first 50 terms of the series (1 × 3) + (3 × 5) + (5 × 7) + …. ?
(a) 1,71,650
(b) 26,600
(c) 26,650
(d) 26,900

A

Question 26. If a, b, c are in geometric progression and a, 2b,3c are in arithmetic progression, then what is the common ratio r such that 0 < r < 1 ?
(a) 1/3
(b) 1/2
(c) 1/4
(d) 1/8

A

Question 27. If p, q, r are in A.P., a is G.M. between p and q and b is G.M. between q and r, then a2, q2, b2 are in
(a) G.P.
(b) A.P.
(c) H.P
(d) None

B

Question 28. If pth term of an AP is q, and its qth term is p, then what is the common difference ?
(a) – 1
(b) 0
(c) 2
(d) 1

A

Question 29. Let x be one AM and g1 and g2 be two G.Ms between y and z. What is g13 + g23 equal to ?
(a) xyz
(b) xy2z
(c) xyz2
(d) 2xyz

D

Question 30. If 1, x, y, z, 16 are in geometric progression, then what is the value of x + y + z ?
(a) 8
(b) 12
(c) 14
(d) 16

C

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