Sequences and Series MCQ Questions for Class 11 Maths Chapter 9 with Answers

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MCQ Questions for Class 11 Mathematics Chapter wise with Answers

Q1. The sum of odd integers from 1 to 2001 is

(i) 10201
(ii) 102001
(iii) 100201
(iv) 1002001

(iv) 1002001

Q2. If a, b, c are in AP then

(i) b = a + c
(ii) 2b = a + c
(iii) b² = a + c
(iv) 2b² = a + c

(ii) 2b = a + c

Q3. The series ( √2 +1),1,( √2 -1) … is in :

(i) A.P.
(ii) G.P.
(iii) H.P.
(iv) none of these

(ii) G.P.

Q4. Complete 2,3,5,7, __

(i) 8
(ii) 9
(iii) 10
(iv) 11

(iv) 11

Q5. An example of geometric series is

(i) 9, 20, 21, 28
(ii) 1, 2, 4, 8
(iii) 1, 2, 3, 4
(iv) 3, 5, 7, 9

(ii) 1, 2, 4, 8

Q6. The sum of n terms of the series (1/1.2) + (1/2.3) + (1/3.4) + …… is

(i) n/(n+1)
(ii) 1/(n+1)
(iii) 1/n
(iv) None of these

(i) n/(n+1)

Q7. Three numbers form an increasing G.P. If the middle number is doubled, then the new numbers are in A.P. The common ratio of the G.P. is:

(i) 2 – √3
(ii) 2 +√3
(iii) √3 – 2
(iv) 3+ √2

(ii) 2 +√3

Q8. What is the first term of Fibonacci sequence?

(i) 0
(ii) 1
(iii) 2
(iv) 3

(ii) 1

Q9. An arithmetic sequence has its 5th term equal to 22 and its 15th term equal to 62. Then its 100th term is equal to

(i) 410
(ii) 408
(iii) 402
(iv) 404

(iii) 402

Q10. If 1/(b + c), 1/(c + a), 1/(a + b) are in AP then

(i) a, b, c are in AP
(ii) a², b², c² are in AP
(iii) 1/1, 1/b, 1/c are in AP
(iv) None of these

(ii) a², b², c² are in AP

Q11. If the jth term and kth term of an A.P. are k and j respectively, the ( k + j) th term is:?

(i) 0
(ii) 1
(iii) k + j + 1
(iv) k + j –1

(i) 0

Q12. Suppose a, b, c are in A.P. and a², b², c² are in G.P. If a < b < c and a + b + c = 3/2, then the value of a is

(i) 1/2√2
(ii) 1/2√3
(iii) 1/2 – 1/√3
(iv) 1/2 – 1/√2

(iv) 1/2 – 1/√2

Q13. The sum of series 1/2! + 1/4! + 1/6! + ….. is

(i) e² – 1 / 2
(ii) (e – 1)² /2 e
(iii) e² – 1 / 2 e
(iv) e² – 2 / e

(ii) (e – 1)² /2 e

Q14. An infinite G.P has first term x and sum 5, then

(i) x < – 10 (ii) – 10 < x < 0 (iii) 0 < x < 10 (iv) x > 10

(iiiI

Q15. If the positive numbers a, b, c, d are in A.P., then abc, abd, acd, bcd are

(i) not in A.P. / G.P. / H. P.
(ii) in A.P.
(iii) in G.P.
(iv) in H.P.

(iv) in H.P.

Q16. Let Tr be the r th term of an A.P., for r = 1, 2, 3, … If for some positive integers m, n, we have Tm = 1/n and Tn = 1/m, then Tm n equals

(i) 1/m n
(ii) 1/m + 1/n
(iii) 1
(iv) 0

(iii) 1

Q17. Let Tr be the r th term of an A.P., for r = 1, 2, 3, … If for some positive integers m, n, we have Tm = 1/n and Tn = 1/m, then Tm n equals

(i) 1/m n
(ii) 1/m + 1/n
(iii) 1
(iv) 0

(iii) 1

Q18. What is the sum of the series 1-1/2 + 1/4 – 1/8

(i) 1/2
(ii) 3/4
(iii) 3/2
(iv) 2/3

(iv) 2/3

Q19. Let Tr be the rth term of an A.P. whose first term is a and the common difference is d. If for some positive integers m, n, m ≠ n, T m = 1/n and T n = 1/m then (a-d) equals to

(i) 0
(ii) 1
(iii) 1/mn
(iv) 1/m + 1/n

(i) 0

Q20. The 35th partial sum of the arithmetic sequence with terms an = n/2 + 1

(i) 240
(ii) 280
(iii) 330
(iv) 350

(iv) 350

Q21. If tn denotes the n th term of the series 2 + 3 + 6 + 11 + 18 + … then t50 is

(i) 492 – 1
(ii) 492
(iii) 502 + 1
(iv) 492 + 2

(iv) 492 + 2

Q22. If the sum of the first 2n terms of the A.P. 2, 5, 8, ….., is equal to the sum of the first n terms of the A.P. 57, 59, 61, ….., then n equals

(i) 10
(ii) 12
(iii) 11
(iv) 13

(iii) 11

Q23. The first term of a GP is 1. The sum of the third term and fifth term is 90. The common ratio of GP is

(i) 1
(ii) 2
(iii) 3
(iv) 4

(iii) 3

Q24. The sum of 11 terms of an A.P. whose middle term is 30,

(i) 320
(ii) 330
(iii) 340
(iv) 350

(ii) 330

Q25. If a, b, c are in GP then log aⁿ, log bⁿ, log cⁿ are in

(i) AP
(ii) GP
(iii) Either in AP or in GP
(iv) Neither in AP nor in GP

(i) AP

Q26. If 2/3, k, 5/8 are in AP then the value of k is

(i) 31/24
(ii) 31/48
(iii) 24/31
(iv) 48/31

(ii) 31/48

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MCQ Questions for Class 11 Mathematics Chapter wise with Answers

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