Below you will find MCQ Questions of Chapter 9 Sequence and Series Class 11 Maths Free PDF Download that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 11 MCQ Questions with answers will widen your skills and understand concepts in a better manner.
MCQ Questions for Class 11 Maths Chapter Chapter 9 Sequence and Series with answers
1. If the roots of the cubic equation ax^{3} + bx^{2} + cx + d = 0 are in G.P., then
(a) c^{3}a = b^{3}d
(b) ca^{3} = bd^{3}
(c) a^{3}b = c^{3}d
(d) ab^{3} = cd^{3}
► (a) c^{3}a = b^{3}d
2. Which of the following sequences in GP will have common ratio 3,where n is an Integer?
(a) g_{n} = 6(3^{n-1})
(b) g_{n} = 3n^{2} + 3n
(c) g_{n} = 2n^{2} + 3
(d) g_{n} = 2n^{2} + 3n
► (a) g_{n} = 6(3^{n-1})
3. For a G.P. the ratio of the 7th and the third terms is 16. The sum of 9 terms is 2555. What is the first term?
(a) 7
(b) 5
(c) 4
(d) 9
► (b) 5
4. If a_{1}, a_{2}, ...., a_{n }are in HP, then the expression a_{1}a_{2 }+ a_{2}a_{3} + ....+ an – 1 a_{n} is equal to
(a) (n – 1) (a_{1} – a_{n})
(b) na_{1}a_{n}
(c) (n – 1)a_{1}a_{n}
(d) n(a_{1} – a_{n})
► (c) (n – 1)a_{1}a_{n}
5. pth term of an A.P. is q and qth term is p, its (p+ q)th term is
(a) - (p + q)
(b) p + q
(c) 0
(d) None of these
► (c) 0
6. The sum of integers from 1 to 100 that are divisible by 2 or 5 is
(a) 2550
(b) 1050
(c) 3050
(d) None of these
► (c) 3050
7. If G1 and G2 and two geometric means and A is the arithmetic means inserted between two positive numbers then the value of is
(a) A/2
(b) 2
(c) 2A
(d) None of these
► (c) 2A
8. If a, 4, b are in A.P.; a, 2, b are in G.P.; then a, 1, b are in
(a) G.P.
(b) H.P.
(c) A.P.
(d) None of these
► (b) H.P.
9. The ratio of first to the last of n A.m.’s between 5 and 25 is 1 : 4. The value of n is
(a) 9
(b) 10
(c) 11
(d) None of these
► (d) None of these
10. If a, b, c, d, x are real and the roots of equation (a^{2} + b^{2} + c^{2})x^{2} - 2 (ab + bc + cd)x + (b^{2} + c^{2} + d^{2}) = 0 real and equal, then a, b, c, d are in
(a) A.P
(b) G.P
(c) H. P
(d) None of these
► (b) G.P
11. If t^{n} denotes n^{th} term of the series 2 + 3 + 6 + 11 + 18 + ..... then t_{50}
(a) 2 + 49^{2}
(b) 2 + 48^{2}
(c) 2 + 50^{2}
(d) 2 + 51^{2}
► (a) 2 + 49^{2}
12. The eleventh term of the sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, ….. is
(a) 89
(b) 66
(c) 72
(d) None of these
► (a) 89
13. The arithmetic mean between 2+√(2) and 2-√(2) is
(a) 2
(b) √(2)
(c) 0
(d) 4
► (a) 2
14. All the terms in A.P., whose first term is a and common difference d are squared. A different series is thus formed. This series is a
(a) H.P.
(b) G.P.
(c) A.P.
(d) None of these
► (d) None of these
15. The common difference d of the A.P. in which T_{7} = 9 and T1T_{2}T_{7} is least is
(a) 33/2
(b) 5/4
(c) 33/20
(d) None of these
► (c) 33/20
16. The next term of the sequence 1, 5, 14, 30, 55, …… is
(a) 95
(b) 91
(c) 90
(d) 80
► (b) 91
17. What is the 50th term of the sequence √3, 3, 3√3, 9, ......
(a) (√3)^{49}
(b) (√3)^{50}
(c) 3^{49}
(d) 3^{50}
► (b) (√3)^{50}
18. If a^{x} = b^{y} = c^{z} = d^{t} and a, b, c, d are in G.P., then x, y, z, t are in
(a) A.P.
(b) G.P.
(c) H.P.
(d) None of these
► (c) H.P.
19. If a, b, c are in G.P., then the equations ax^{2} + 2bx + c = 0 and dx^{2} + 2ex + f = 0 have a common root if a/d, b/e, c/f are in
(a) A.P.
(b) G.P.
(c) H.P.
(d) None of these
► (c) H.P.
20. The next term of the sequence, 2, 6, 12, 20, …..is
(a) 28
(b) 30
(c) 40
(d) 24
► (b) 30
21. The H.M. between two numbers is , their A.M. is A and G.M. is G. If 2A + G2 = 26, then the numbers are
(a) 6, 8
(b) 4, 8
(c) 2, 8
(d) 1, 8
► (c) 2, 8
22. The number of common terms in two A.P’s 2, 7, 12, 17............. 500 terms and 1, 8, 15, 22,..........300 terms is
(a) 58
(b) 60
(c) 61
(d) 63
► (b) 60
Hope the given MCQ Questions will help you in cracking exams with good marks. These Sequence and Series MCQ Questions will help you in practising more and more questions in less time.