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. Common fraction of 7.755 is

Question 2

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

Answer

4n – 3, 17

Answer

17, 4n – 3

Answer

17, 3n – 4

Question 3

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

Answer

None of these

Question 4

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

Question 5

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

Question 6

6. a₂₇ of 7, 23/2, 32/2, --------- is

Question 7

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

Answer

None of these

Question 8

8. 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 9

9. No term of an harmonic sequence can be

Question 10

10. 2,4,6,8,10,12, ….. is

Answer

Arithmetic series

Answer

Geometric series

Question 11

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

Question 12

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

Answer

a + (n – 1) d

Answer

a (1 – rⁿ)/1 – r

Answer

n/2 {2a + (n – 1) d}

Question 13

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

Answer

Infinite series

Answer

Geometric series

Answer

Harmonic series

Answer

Arithmetic series

Question 14

14. Geometric sequence cannot contain

Answer

None of these

Question 15

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

Answer

None of these

Question 16

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

Question 17

17. 9th term of the sequence 25/3, 1/3, 1/6 --------- is

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 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 20

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

Answer

Arithmetic

Answer

None of these

Question 21

21. 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 22

22. 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 23

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

Answer

None of these

Question 24

24. 21 + 22 + 23 + …….. + 2n =

Answer

2(2n + 1 – 1)

Answer

2(2n – 1 – 1)

Answer

None of these

Answer

2(2n – 1)

Question 25

25. 5th term of a G.P. is 2, then the product of first 9 terms is

Answer

None of these

Question 26

26. 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 27

27. The A.M between 1 – x + x² is

Question 28

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

Question 29

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

Answer

None of these

Question 30

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

Question 31

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

Answer

2 (c – a)

Answer

2 (d – c)

Answer

2 (f – d)

Question 32

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

Question 33

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

Answer

None of these

Question 34

34. 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 35

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

Answer

Harmonic series

Answer

Arithmetic series

Answer

Geometric series

Answer

Infinite series

Question 36

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

Question 37

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

Question 38

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

Question 39

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

Answer

Harmonic series

Question 40

40. 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 41

41. The common ratio of a geometric sequence cannot be

Question 42

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

Question 43

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

Question 44

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

Question 45

45. 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

None of these

Answer

a + m(a–b)/n+1

Answer

a + m(b–a)/n+1

Question 46

46. 4:32 can be written in

Answer

Infinite geometric series

Answer

Arithmetic series

Answer

None of these

Answer

Binomial series

Question 47

47. The two geometric means between a and b are

Answer

a(b/a)¹ᐟ², b

Answer

a(b/a)¹ᐟ², b

Answer

b(a/b)¹ᐟ², b

Question 48

48. Nth term of A.P is

Answer

None of these

Answer

a + (n – 1)d

Question 49

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

Question 50

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

Question 51

51. Which one is true?

Answer

None of these

Question 52

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

Question 53

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

Question 54

54. 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 55

55. 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 56

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

Answer

Arithmetic mean

Answer

Common ratio

Answer

Geometric mean

Answer

Common difference

Question 57

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

Question 58

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

Question 59

59. Three G.M between 5 & 0.008 are

Answer

None of these

Answer

0.02,0.05,0.06

Answer

02,0.5.0.6

Answer

1.0,2,0.0.04

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

Answer

Onto function

Answer

Identity function

Question 62

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

Question 63

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

Question 64

64. 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,……

Answer 79

A sequence

Answer 80

Not a sequence

Answer 81

A sequence

Answer 82

Not a sequence

Answer 83

Convergent

Answer 84

None of these

Answer 85

Oscillatory

Answer 86

– 1 ≤ r ≤ 1

Answer 87

r ≤ – 1, r ≥ 1

Answer 88

– 1 < r < 1

Answer 89

r < – 1, r > 1

Answer 90

y – 1/2y

Answer 91

2(2ⁿ¯¹ – 1)

Answer 92

2(2ⁿ⁺¹ – 1)

Answer 93

None of these

Answer 94

2(2ⁿ – 1)

Answer 95

A(b/a)ⁿᐟⁿ⁺¹

Answer 96

b(b/a)ᵐᐟⁿ⁺¹

Answer 97

a(b/a)ᵐᐟⁿ⁺¹

Answer 98

Harmonic series

Answer 99

Geometric series

Answer 100

Infinite series

Answer 101

Arithmetic 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

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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