NCERT Class 11 Chapter 9 Maths Sequence and Series MCQ

NCERT Class 11 Chapter 9 Maths Sequence and Series MCQ | Questions & Answers: This page will help you take up the NCERT Class 11 Chapter 9 Maths Sequence and Series MCQ Quiz. In turn, you know will know how much expertise you have in the NCERT Class 11 Chapter 9 Maths Sequence and Series.

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1. If "a" is the first term and is the last term (nth term), then the sum of all the term of this sequence is given by:

A. (a)

B. (b)

C. (c)

D. (d)

2. The sum of the first hundred even natural numbers divisible by 5 is

A. 55005

B. 55000

C. 50000

D. 50500

3. If the 10 times of the 10^th term of an AP is equal to 15 times to the 15th term, then the 25th term is:

A. 25 times of 25^th term

B. 0

C. 1

D. 2

4. The number of terms of the series
51,49,47,...37 is

A. 8

B. 5

C. 10

D. 7

5. The first negative term of the A.P.
62,57,52.... is the

A. 10 th term

B. 14 th term

C. 12 th term

D. 18 th term

6. How many terms of the series
24,20,16,...are required so that their sum is 72?

A. 8 or 6

B. 12

C. 9 or 4

D. 11

CBSE Class11 Maths Sequence-and-series-7 Q

A. (a)

B. (b)

C. (c)

D. (d)

8. The number of terms in the sequence -17, -10, -3,...., 144 is:

A. 26

B. 25

C. 27

D. 24

9. Three terms in A.P. are such that their sum is 45.What is the middle term?

A. 25

B. 30

C. 10

D. 15

10. The terms of an A.P. are doubled, then the resulting sequence is

A. An A.P. with common difference equal to the common difference of the original A.P

B. An A.P. with common difference thrice the common difference of the original A.P

C. An A.P. with common difference double the common difference of the original A.P

D. An A.P. with common difference half the common difference of the original A.P

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11. 1 3, 5, 7, 9, …….. is an example of

A. Geometric Series

B. Arithmetic Series

C. Rational Exponent

D. Logarithm

12. If 1/(b + c), 1/(c + a), 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

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

A. b = a + c

B. 2b = a + c

C. b² = a + c

D. 2b² = a + c

14. If the third term of an A.P. is 7 and its 7 th term is 2 more than three times of its third term, then the sum of its first 20 terms is

A. 228

B. 74

C. 740

D. 1090

15. 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

A. 10

B. 12

C. 11

D. 13

16. 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

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

A. 31/24

B. 31/48

C. 24/31

D. 48/31

18. The sum of AP 2, 5, 8, …..up to 50 terms is

A. 3557

B. 3775

C. 3757

D. 3575

19. 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

A. 1

B. 2

C. 3

D. 4

20. If the nth term of an AP is 3n – 4, the 10th term of AP is

A. 12

B. 22

C. 28

D. 30

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21. 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

A. 10

B. 12

C. 11

D. 13

22. If the first term minus third term of a G.P. = 768 and the third term minus seventh term of the same G.P. = 240, then the product of first 21 terms =

A. 1

B. 2

C. 3

D. 4

23. In the sequence obtained by omitting the perfect squares from the sequence of natural numbers, then 2011^th term is

A. 2024

B. 2036

C. 2048

D. 2055

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

A. 2

B. 4

C. 6

D. 8

25. If the sum of the roots of the quadratic equation ax² + bx + c = 0 is equal to the sum of the squares of their reciprocals, then a/c, b/a, c/b are in

A. A.P

B. G.P.

C. H.P.

D. A.G.P.