Mathematics Sequences and Series Online Test

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Question 1

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

Question 2

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

Question 3

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

Answer

None of these

Question 4

4. 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 5

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

Answer

Arithmetic series

Answer

Harmonic series

Answer

Geometric series

Answer

Infinite series

Question 6

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

Answer

Harmonic series

Question 7

7. The common ratio of a geometric sequence cannot be

Question 8

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

Question 9

9. 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 10

10. 2,4,6,8,10,12, ….. is

Answer

Arithmetic series

Answer

Geometric series

Question 11

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

Answer

y – 1/2y

Question 12

12. 5th term of a G.P. is 2, then the product of first 9 terms is

Answer

None of these

Question 13

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

Answer

A(b/a)ⁿᐟⁿ⁺¹

Answer

b(b/a)ᵐᐟⁿ⁺¹

Answer

a(b/a)ᵐᐟⁿ⁺¹

Question 14

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

Answer

Geometric series

Answer

Harmonic series

Answer

Arithmetic series

Answer

Infinite series

Question 15

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

Question 16

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

Question 17

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

Question 18

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

Question 19

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

Question 20

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

Answer

Not a sequence

Answer

A sequence

Question 21

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

Question 22

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

Question 23

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

Answer

Infinite series

Answer

Arithmetic series

Answer

Geometric series

Answer

Harmonic series

Question 24

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

Answer

Oscillatory

Answer

Convergent

Answer

None of these

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

Question 27

27. The A.M between 1 – x + x² is

Question 28

28. A sequence in which any term dividend by its immediate previous terms is called the

Answer

Arithmetic mean

Answer

Geometric mean

Answer

Common ratio

Answer

Common difference

Question 29

29. 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 30

30. 21 + 22 + 23 + …….. + 2n =

Answer

2(2n – 1 – 1)

Answer

2(2n + 1 – 1)

Answer

None of these

Answer

2(2n – 1)

Question 31

31. No term of an harmonic sequence can be

Question 32

32. 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 33

33. 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 34

34. Geometric sequence cannot contain

Answer

None of these

Question 35

35. 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 36

36. Nth term of A.P is

Answer

a + (n – 1)d

Answer

None of these

Question 37

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

Question 38

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

Question 39

39. Three G.M between 5 & 0.008 are

Answer

02,0.5.0.6

Answer

None of these

Answer

1.0,2,0.0.04

Answer

0.02,0.05,0.06

Question 40

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

Answer

None of these

Question 41

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

Question 42

42. 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 43

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

Answer

Onto function

Answer

Identity function

Question 44

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

Question 45

45. 4:32 can be written in

Answer

Binomial series

Answer

Arithmetic series

Answer

None of these

Answer

Infinite geometric series

Question 46

46. Which one is true?

Answer

None of these

Question 47

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

Question 48

48. 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 49

49. 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 50

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

Question 51

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

Question 52

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

Answer

None of these

Question 53

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

Answer

Arithmetic

Answer

None of these

Question 54

54. 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

-7/5, -5/3, -1,……..

Answer

None of these

Question 55

55. 9th term of the sequence 25/3, 1/3, 1/6 --------- 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 A.P. whose nth term is 2n – 1 is

Answer

2,3,5,……

Answer

5,3,1,……

Answer

1,3,5,……

Answer

1,3,6,…..

Question 58

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

Question 59

59. Common fraction of 7.755 is

Question 60

60. 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 61

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

Answer

Geometric series

Answer

Arithmetic series

Answer

Harmonic series

Answer

Infinite series

Question 62

62. 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 63

63. 2¹+2²+2³+…+2ⁿ =

Answer

2(2ⁿ⁺¹ – 1)

Answer

2(2ⁿ – 1)

Answer

2(2ⁿ¯¹ – 1)

Answer

None of these

Question 64

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

Answer 88

Not a sequence

Answer 89

A sequence

Answer 90

None of these

Answer 91

17, 3n – 4

Answer 92

17, 4n – 3

Answer 93

4n – 3, 17

Answer 94

a + m(b–a)/n+1

Answer 95

a + n(b–a)/n+1

Answer 96

None of these

Answer 97

a + m(a–b)/n+1

Answer 98

Not a sequence

Answer 99

A sequence

Answer 100

None of these

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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