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. The common ratio of a geometric sequence cannot be

Question 2

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

Question 3

3. 4:32 can be written in

Answer

Infinite geometric series

Answer

None of these

Answer

Binomial series

Answer

Arithmetic series

Question 4

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

Answer

17, 4n – 3

Answer

4n – 3, 17

Answer

17, 3n – 4

Question 5

5. 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 6

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

Question 7

7. Nth term of A.P is

Answer

a + (n – 1)d

Answer

None of these

Question 8

8. 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 9

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

Question 10

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

Question 11

11. 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 12

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

Question 13

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

Question 14

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

Answer

Harmonic series

Question 15

15. The A.M between 1 – x + x² is

Question 16

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

Question 17

17. Common fraction of 7.755 is

Question 18

18. 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 19

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

Question 20

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

Question 21

21. 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 22

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

Question 23

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

Answer

Geometric mean

Answer

Common ratio

Answer

Common difference

Answer

Arithmetic mean

Question 24

24. The two geometric means between a and b are

Answer

b(a/b)¹ᐟ², b

Answer

a(b/a)¹ᐟ², b

Answer

a(b/a)¹ᐟ², b

Question 25

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

Answer

-7/5, -5/3, -1,……..

Answer

None of these

Answer

1,2,3, …………..

Answer

-2/3, 1, 7/3 ………….

Question 26

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

Question 27

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

Answer

None of these

Answer

Convergent

Answer

Oscillatory

Question 28

28. Which one is true?

Answer

None of these

Question 29

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

Question 30

30. 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 31

31. 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 32

32. 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 33

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

Question 34

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

Answer

Onto function

Answer

Identity function

Question 35

35. 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 36

36. No term of an harmonic sequence can be

Question 37

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

Answer

y – 1/2y

Question 38

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

Question 39

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

Answer

Geometric series

Answer

Infinite series

Answer

Arithmetic series

Answer

Harmonic series

Question 40

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

Question 41

41. 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 42

42. 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 43

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

Question 44

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

Answer

None of these

Question 45

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

Answer

None of these

Question 46

46. 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 47

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

Question 48

48. 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 49

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

Question 50

50. 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 51

51. 2¹+2²+2³+…+2ⁿ =

Answer

None of these

Answer

2(2ⁿ¯¹ – 1)

Answer

2(2ⁿ – 1)

Answer

2(2ⁿ⁺¹ – 1)

Question 52

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

Answer

None of these

Question 53

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

Question 54

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

Answer

None of these

Answer

Arithmetic

Question 55

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

Answer

Arithmetic series

Answer

Harmonic series

Answer

Infinite series

Answer

Geometric series

Question 56

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

Question 57

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

Answer

a + (n – 1) d

Answer

n/2 {2a + (n – 1) d}

Answer

a (1 – rⁿ)/1 – r

Question 58

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

Answer

None of these

Question 59

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

Question 60

60. 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)ᵐᐟⁿ⁺¹

Answer

b(b/a)ᵐᐟⁿ⁺¹

Answer

A(b/a)ⁿᐟⁿ⁺¹

Question 61

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

Answer

None of these

Question 62

62. Three G.M between 5 & 0.008 are

Answer

02,0.5.0.6

Answer

0.02,0.05,0.06

Answer

None of these

Answer

1.0,2,0.0.04

Question 63

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

Question 64

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

Answer 82

1,3,5,……

Answer 83

5,3,1,……

Answer 84

1,3,6,…..

Answer 85

2,3,5,……

Answer 86

None of these

Answer 87

– 1 < r < 1

Answer 88

r < – 1, r > 1

Answer 89

– 1 ≤ r ≤ 1

Answer 90

r ≤ – 1, r ≥ 1

Answer 91

None of these

Answer 92

2 (d – c)

Answer 93

2 (c – a)

Answer 94

2 (f – d)

Answer 95

None of these

Answer 96

2(2n – 1)

Answer 97

2(2n – 1 – 1)

Answer 98

None of these

Answer 99

2(2n + 1 – 1)

Answer 100

Arithmetic series

Answer 101

Geometric series

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

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Key Preparation Tips:

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