Mathematics Sequences and Series Online Test

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Question 1

1. The common ratio of a geometric sequence cannot be

Question 2

2. A number A is said to be the arithmetic mean between two numbers a and b if a, A, b is

Answer

A sequence

Answer

Not a sequence

Question 3

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

Question 4

4. 2,4,6,8,10,12, ….. is

Answer

Geometric series

Answer

Arithmetic series

Question 5

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

Question 6

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

Answer

Harmonic series

Question 7

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

Question 8

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

Question 9

9. 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 + n(b–a)/n+1

Answer

a + m(a–b)/n+1

Answer

None of these

Answer

a + m(b–a)/n+1

Question 10

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

Question 11

11. The 5th term of the G.P. 3,6,12, …… is

Question 12

12. 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 13

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

Question 14

14. a₂₇ of 7, 23/2, 32/2, --------- is

Question 15

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

Answer

None of these

Question 16

16. 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 17

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

Question 18

18. If A, G, H are the arithmetic, geometric and harmonic means between a and b respectively, then A, G, H are

Answer

Real numbers

Question 19

19. 2¹+2²+2³+…+2ⁿ =

Answer

2(2ⁿ¯¹ – 1)

Answer

2(2ⁿ – 1)

Answer

None of these

Answer

2(2ⁿ⁺¹ – 1)

Question 20

20. 4:32 can be written in

Answer

Arithmetic series

Answer

None of these

Answer

Binomial series

Answer

Infinite geometric series

Question 21

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

Question 22

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

Answer

Infinite series

Answer

Arithmetic series

Answer

Harmonic series

Answer

Geometric series

Question 23

23. The term of a GP is -36 and common ration is – 1/3 then a₅ =?

Question 24

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

Answer

4n – 3, 17

Answer

17, 3n – 4

Answer

17, 4n – 3

Question 25

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

Answer

Harmonic series

Answer

Arithmetic series

Answer

Infinite series

Answer

Geometric series

Question 26

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

Answer

Infinite series

Answer

Harmonic series

Answer

Arithmetic series

Answer

Geometric series

Question 27

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

Answer

1,3,5,……

Answer

2,3,5,……

Answer

1,3,6,…..

Answer

5,3,1,……

Question 28

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

Answer

None of these

Question 29

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

Answer

y – 1/2y

Question 30

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

Answer

None of these

Answer

Convergent

Answer

Oscillatory

Question 31

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

Question 32

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

Answer

Onto function

Answer

Identity function

Question 33

33. 9th term of the sequence 25/3, 1/3, 1/6 --------- is

Question 34

34. No term of an harmonic sequence can be

Question 35

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

Answer

Arithmetic

Answer

None of these

Question 36

36. 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 37

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

Question 38

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

Answer

2 (f – d)

Answer

2 (c – a)

Answer

2 (d – c)

Question 39

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

Question 40

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

Question 41

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

Question 42

42. 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 43

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

Answer

None of these

Question 44

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

Answer

Not a sequence

Answer

A sequence

Question 45

45. Common fraction of 7.755 is

Question 46

46. 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 47

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

Answer

Geometric series

Answer

Harmonic series

Answer

Arithmetic series

Answer

Infinite series

Question 48

48. 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 49

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

Question 50

50. If a, b, c are in A.P., then 3ᵃ, 3ᵇ, 3ᶜ are in

Answer

None of these

Question 51

51. 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 52

52. Which one is true?

Answer

None of these

Question 53

53. The A.M between 1 – x + x² is

Question 54

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

Answer

None of these

Question 55

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

Question 56

56. 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 57

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

Question 58

58. 21 + 22 + 23 + …….. + 2n =

Answer

2(2n – 1 – 1)

Answer

2(2n – 1)

Answer

2(2n + 1 – 1)

Answer

None of these

Question 59

59. Three G.M between 5 & 0.008 are

Answer

02,0.5.0.6

Answer

None of these

Answer

0.02,0.05,0.06

Answer

1.0,2,0.0.04

Question 60

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

Question 61

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

Question 62

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

Question 63

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

Question 64

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

Answer 76

a(b/a)¹ᐟ², b

Answer 77

a(b/a)¹ᐟ², b

Answer 78

b(a/b)¹ᐟ², b

Answer 79

b(b/a)ᵐᐟⁿ⁺¹

Answer 80

a(b/a)ᵐᐟⁿ⁺¹

Answer 81

A(b/a)ⁿᐟⁿ⁺¹

Answer 82

– 1 < r < 1

Answer 83

– 1 ≤ r ≤ 1

Answer 84

r < – 1, r > 1

Answer 85

r ≤ – 1, r ≥ 1

Answer 86

None of these

Answer 87

None of these

Answer 88

-7/5, -5/3, -1,……..

Answer 89

-2/3, 1, 7/3 ………….

Answer 90

1,2,3, …………..

Answer 91

Arithmetic mean

Answer 92

Geometric mean

Answer 93

Common ratio

Answer 94

Common difference

Answer 95

n/2 {2a + (n – 1) d}

Answer 96

a + (n – 1) d

Answer 97

a (1 – rⁿ)/1 – r

Answer 98

None of these

Answer 99

None of these

Answer 100

a + (n – 1)d

Answer 101

None of these

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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