Mathematics Sequences and Series Online Test

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You can prepare for Mathematics Sequences and Series Online Test by attempting the free online quizzes at Gotest.com.pk. We provide instant results, performance reports, and detailed explanations for every question.

Question 1

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

Question 2

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

Question 3

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

Answer

None of these

Answer

Arithmetic

Question 4

4. The A.M between 1 – x + x² is

Question 5

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

Answer

None of these

Answer

Oscillatory

Answer

Convergent

Question 6

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

Question 7

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

Answer

1,3,6,…..

Answer

2,3,5,……

Answer

5,3,1,……

Answer

1,3,5,……

Question 8

8. 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 9

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

Answer

Geometric mean

Answer

Common difference

Answer

Common ratio

Answer

Arithmetic mean

Question 10

10. Three G.M between 5 & 0.008 are

Answer

1.0,2,0.0.04

Answer

0.02,0.05,0.06

Answer

02,0.5.0.6

Answer

None of these

Question 11

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

Question 12

12. No term of an harmonic sequence can be

Question 13

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

Question 14

14. The common ratio of a geometric sequence cannot be

Question 15

15. Geometric sequence cannot contain

Answer

None of these

Question 16

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

Question 17

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

Answer

17, 3n – 4

Answer

17, 4n – 3

Answer

4n – 3, 17

Question 18

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

Answer

Harmonic series

Answer

Arithmetic series

Answer

Infinite series

Answer

Geometric series

Question 19

19. 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 20

20. 9th term of the sequence 25/3, 1/3, 1/6 --------- is

Question 21

21. 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 22

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

Answer

None of these

Question 23

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

Question 24

24. The geometric mean between -2t and 8t are

Question 25

25. 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 26

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

Answer

Infinite series

Answer

Geometric series

Answer

Arithmetic series

Answer

Harmonic series

Question 27

27. Which one is true?

Answer

None of these

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. The geometric mean between √3 and √27 is

Question 30

30. Nth term of A.P is

Answer

None of these

Answer

a + (n – 1)d

Question 31

31. If a, b, c are in AP, then 1/a, 1/b, 1/c are in

Answer

None of these

Question 32

32. 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

a(b/a)ᵐᐟⁿ⁺¹

Answer

b(b/a)ᵐᐟⁿ⁺¹

Question 33

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

Question 34

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

Question 35

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

Answer

y – 1/2y

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

Not a sequence

Answer

A sequence

Question 37

37. 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 38

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

Question 39

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

Answer

a (1 – rⁿ)/1 – r

Answer

a + (n – 1) d

Answer

n/2 {2a + (n – 1) d}

Question 40

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

Question 41

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

Question 42

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

Question 43

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

Question 44

44. 2¹+2²+2³+…+2ⁿ =

Answer

2(2ⁿ⁺¹ – 1)

Answer

2(2ⁿ – 1)

Answer

2(2ⁿ¯¹ – 1)

Answer

None of these

Question 45

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

Answer

Onto function

Answer

Identity function

Question 46

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

Question 47

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

Question 48

48. 4:32 can be written in

Answer

Infinite geometric series

Answer

Arithmetic series

Answer

None of these

Answer

Binomial series

Question 49

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

Answer

Harmonic series

Question 50

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

Question 51

51. 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 52

52. 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 53

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

Question 54

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

Question 55

55. 21 + 22 + 23 + …….. + 2n =

Answer

2(2n + 1 – 1)

Answer

2(2n – 1)

Answer

2(2n – 1 – 1)

Answer

None of these

Question 56

56. 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 57

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

Question 58

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

Answer

None of these

Question 59

59. 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 60

60. Common fraction of 7.755 is

Question 61

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

Question 62

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

Answer

1,2,3, …………..

Answer

-7/5, -5/3, -1,……..

Answer

None of these

Answer

-2/3, 1, 7/3 ………….

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 series obtained by adding the terms of geometric sequences is called

Answer

Geometric series

Answer

Harmonic series

Answer

Infinite series

Answer

Arithmetic series

Answer 79

Not a sequence

Answer 80

A sequence

Answer 81

arⁿ⁺¹

Answer 82

None of these

Answer 83

a(b/a)¹ᐟ², b

Answer 84

a(b/a)¹ᐟ², b

Answer 85

b(a/b)¹ᐟ², b

Answer 86

Arithmetic series

Answer 87

Infinite series

Answer 88

Harmonic series

Answer 89

Geometric series

Answer 90

a + n(b–a)/n+1

Answer 91

a + m(b–a)/n+1

Answer 92

None of these

Answer 93

a + m(a–b)/n+1

Answer 94

r ≤ – 1, r ≥ 1

Answer 95

– 1 < r < 1

Answer 96

– 1 ≤ r ≤ 1

Answer 97

r < – 1, r > 1

Answer 98

None of these

Answer 99

Geometric series

Answer 100

Arithmetic series

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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