Mathematics Sequences and Series Online Test

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Question 1

1. A function whose domain is the set of natural numbers is called

Answer

Onto function

Answer

Identity function

Question 2

2. If a, b, c, d, e, f are in A.P., then e – c is equal to

Answer

2 (c – a)

Answer

2 (f – d)

Answer

2 (d – c)

Question 3

3. Sum of all the terms in sequence, 5/6, 25/36, ---- ∞ is

Question 4

4. 4:32 can be written in

Answer

None of these

Answer

Binomial series

Answer

Infinite geometric series

Answer

Arithmetic series

Question 5

5. The fifth term of the sequence an = 2n + 3 is

Question 6

6. 9th term of the sequence 25/3, 1/3, 1/6 --------- is

Question 7

7. If Sr denotes the sum of the first r terms of a G.P., then Sn, S₂n – Sn, S₃n – S₂n are in

Answer

None of these

Question 8

8. 2¹+2²+2³+…+2ⁿ =

Answer

2(2ⁿ⁺¹ – 1)

Answer

2(2ⁿ¯¹ – 1)

Answer

2(2ⁿ – 1)

Answer

None of these

Question 9

9. The A.M between 1 – x + x² is

Question 10

10. The series obtained by adding the terms of a geometric sequence is

Answer

Harmonic series

Answer

Infinite series

Answer

Geometric series

Answer

Arithmetic series

Question 11

11. The geometric mean between √3 and √27 is

Question 12

12. For ¼, 2/5, 1, ----------- 6th term is

Question 13

13. 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

Answer

None of these

Question 14

14. The third term of a G.P. is 4. The product of first five terms is

Answer

None of these

Question 15

15. The series obtained by adding the terms of geometric sequences is called

Answer

Geometric series

Answer

Harmonic series

Answer

Infinite series

Answer

Arithmetic series

Question 16

16. The fifth term and the nth term of the A.P. 1,5……. Are

Answer

17, 3n – 4

Answer

4n – 3, 17

Answer

17, 4n – 3

Question 17

17. Series obtained by adding the terms of an harmonic sequence is

Answer

Harmonic series

Question 18

18. Which one is true?

Answer

None of these

Question 19

19. If x, y, z are the pth, qth, rth terms of an A.P. and also of G.P, the xʸ¯ˣ, yˣ¯ˣ, zˣ¯ʸ equals

Answer

None of these

Question 20

20. Is the harmonic mean between and b, then n =

Question 21

21. If a, r and an are the first term, common ratio and nth term respectively of the G.P, then an =

Answer

arⁿ⁺¹

Question 22

22. The next term of the sequence 1, 2, 4, 7, 11, …….. is.

Question 23

23. If |x| < 1 and y = x-x² + x³-x⁴ + ………….. ∞, then the value of x is

Question 24

24. The fifth term of the sequence an = 2n – 3 is

Question 25

25. If aⁿ⁺²+bⁿ⁺²/aⁿ⁺¹ + bⁿ⁺¹ is the geometric mean between a and b, then n =

Question 26

26. The two geometric means between a and b are

Answer

a(b/a)¹ᐟ², b

Answer

b(a/b)¹ᐟ², b

Answer

a(b/a)¹ᐟ², b

Question 27

27. The series obtained by adding the term of arithmetic sequence is called

Answer

Arithmetic series

Answer

Infinite series

Answer

Geometric series

Answer

Harmonic series

Question 28

28. The A.P. whose nth term is 2n – 1 is

Answer

5,3,1,……

Answer

1,3,6,…..

Answer

2,3,5,……

Answer

1,3,5,……

Question 29

29. Let Sn denote the sum of the first n terms of an A.P. If S₂n = 3 Sn, then S₃n : Sn is equal to

Question 30

30. Three G.M between 5 & 0.008 are

Answer

0.02,0.05,0.06

Answer

None of these

Answer

02,0.5.0.6

Answer

1.0,2,0.0.04

Question 31

31. H.M between two numbers ‘a’ and ‘b’ is given by

Question 32

32. Geometric sequence cannot contain

Answer

None of these

Question 33

33. 5th term of a G.P. is 2, then the product of first 9 terms is

Answer

None of these

Question 34

34. The general term of the sequence a, ar, ar, ….is

Answer

a (1 – rⁿ)/1 – r

Answer

n/2 {2a + (n – 1) d}

Answer

a + (n – 1) d

Question 35

35. If n is the total number of arithmetic means between a and b. The formula of mth arithmetic mean between a and b is

Answer

a + m(b–a)/n+1

Answer

a + n(b–a)/n+1

Answer

None of these

Answer

a + m(a–b)/n+1

Question 36

36. G₁,G₂, ….., Gn are said to b n geometric means between a and b if a, G₁, G₂, …….., Gn b is

Answer

A sequence

Answer

Not a sequence

Question 37

37. If r< -1 and r > 1 then the series is

Answer

Oscillatory

Answer

Convergent

Answer

None of these

Question 38

38. The arithmetic mean between 2 + ?(2) and 2-?(2) is

Question 39

39. 21 + 22 + 23 + …….. + 2n =

Answer

2(2n + 1 – 1)

Answer

2(2n – 1)

Answer

None of these

Answer

2(2n – 1 – 1)

Question 40

40. Given two numbers a and b. Let A denote the single A.M. between these and S denote the sum of n A.M.’s between them. Then S/A depends upon

Question 41

41. The arithmetic mean between 2 + √2 and 2 – √2 is

Question 42

42. A number G is said to be the geometric mean between two numbers a and b of a,G,b is

Answer

A sequence

Answer

Not a sequence

Question 43

43. A.M between two numbers a and b is given by

Question 44

44. The general term of an A.P is [2/3]ⁿ¯³ the sequence is

Answer

1,2,3, …………..

Answer

-2/3, 1, 7/3 ………….

Answer

None of these

Answer

-7/5, -5/3, -1,……..

Question 45

45. For an H.P 3/11, 6/31, 3/20, ………. , The common difference of the corresponding AP is

Question 46

46. The common ratio of a geometric sequence cannot be

Question 47

47. The A.M between 3?(5) and 5?(5) is

Question 48

48. The next two terms of the sequence 1,3,7,15,31,.........are

Answer

None of these

Question 49

49. A sequence of nos. Whose reciprocal from an arithmetic sequence is called _________ sequence.

Answer

None of these

Answer

Arithmetic

Question 50

50. The A.M. of two numbers is 34 and G.M. is 16, the numbers are

Answer

None of these

Question 51

51. The harmonic mean between the two numbers a and b is

Question 52

52. The common difference of the sequence 5,8,11,14,…. Is

Question 53

53. The series obtained by adding the terms of an arithmetic sequence is called the

Answer

Geometric series

Answer

Harmonic series

Answer

Infinite series

Answer

Arithmetic series

Question 54

54. If y = 1 + 2x + 4x² + 8x³ + ……….. ∞ then x = ?

Answer

y – 1/2y

Question 55

55. An A.P. consists of n (odd terms) and its middle term is m. then the sum of the A.P. is

Question 56

56. The common difference of the sequence 5,8,11,14,…is

Question 57

57. If H is harmonic mean between 7 and 8, then H/2 =

Question 58

58. Nth term of A.P is

Answer

a + (n – 1)d

Answer

None of these

Question 59

59. The sum of an infinite geometric series exist only if the condition on the common ratio r is

Answer

– 1 ≤ r ≤ 1

Answer

r < – 1, r > 1

Answer

r ≤ – 1, r ≥ 1

Answer

– 1 < r < 1

Question 60

60. aⁿ+bⁿ/aⁿ¯¹+bⁿ¯¹ is a G.M between a and b if n is

Question 61

61. H₁, H₂, ….. Hn are said to be n harmonic means between a and b if a, H₁, H₂, ……… Hn, b form

Answer

Harmonic series

Question 62

62. The value of 9¹ᐟ³, 9¹ᐟ⁹,9¹ᐟ²⁷ ………. ∞ is

Question 63

63. G.M between two numbers 4 and -81 is

Answer

None of these

Question 64

64. If n is the total number of geometric mean between a and b than the nth geometric mean between a and b is

Answer

b(b/a)ᵐᐟⁿ⁺¹

Answer

A(b/a)ⁿᐟⁿ⁺¹

Answer

a(b/a)ᵐᐟⁿ⁺¹

Answer 91

None of these

Answer 92

None of these

Answer 93

A sequence

Answer 94

Not a sequence

Answer 95

Geometric series

Answer 96

Arithmetic series

Answer 97

Common difference

Answer 98

Common ratio

Answer 99

Geometric mean

Answer 100

Arithmetic mean

Answer 101

Real numbers

Total Questions:	76
Time Allowed:	40 Minutes
Total Marks:	76
How to Attempt Test:	Please choose the right Option in MCQ-type question.
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Important Math Sequences and Series Question and Answer

Math Sequences and Series Practice Test Online With Explanation

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How to Score High in Mathematics Sequences and Series Online Test?

Key Preparation Tips:

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Maan Ali

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