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 series obtained by adding the term of arithmetic sequence is called

Answer

Infinite series

Answer

Harmonic series

Answer

Geometric series

Answer

Arithmetic series

Question 2

2. Geometric sequence cannot contain

Answer

None of these

Question 3

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

Question 4

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

Question 5

5. 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 6

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

Answer

y – 1/2y

Question 7

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

Answer

Harmonic series

Answer

Arithmetic series

Answer

Geometric series

Answer

Infinite series

Question 8

8. 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(a–b)/n+1

Answer

None of these

Answer

a + n(b–a)/n+1

Answer

a + m(b–a)/n+1

Question 9

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

Answer

None of these

Question 10

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

Question 11

11. 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 12

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

Answer

Geometric mean

Answer

Common difference

Answer

Arithmetic mean

Answer

Common ratio

Question 13

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

Question 14

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

Answer

Harmonic series

Question 15

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

Answer

None of these

Question 16

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

Answer

None of these

Question 17

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

Question 18

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

Question 19

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

Question 20

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

Question 21

21. 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 22

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

Question 23

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

Answer

None of these

Question 24

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

Answer

Oscillatory

Answer

None of these

Answer

Convergent

Question 25

25. The common ratio of a geometric sequence cannot be

Question 26

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

Question 27

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

Answer

Onto function

Answer

Identity function

Question 28

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

Answer

2 (d – c)

Answer

2 (f – d)

Answer

2 (c – a)

Question 29

29. No term of an harmonic sequence can be

Question 30

30. 21 + 22 + 23 + …….. + 2n =

Answer

2(2n + 1 – 1)

Answer

None of these

Answer

2(2n – 1 – 1)

Answer

2(2n – 1)

Question 31

31. 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 32

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

Question 33

33. 2,4,6,8,10,12, ….. is

Answer

Geometric series

Answer

Arithmetic series

Question 34

34. 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 35

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

Question 36

36. 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 37

37. 9th term of the sequence 25/3, 1/3, 1/6 --------- is

Question 38

38. 2¹+2²+2³+…+2ⁿ =

Answer

2(2ⁿ – 1)

Answer

2(2ⁿ¯¹ – 1)

Answer

2(2ⁿ⁺¹ – 1)

Answer

None of these

Question 39

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

Question 40

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

Answer

Arithmetic

Answer

None of these

Question 41

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

Answer

5,3,1,……

Answer

1,3,5,……

Answer

1,3,6,…..

Answer

2,3,5,……

Question 42

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

Question 43

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

Answer

Harmonic series

Answer

Infinite series

Answer

Geometric series

Answer

Arithmetic series

Question 44

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

Question 45

45. 4:32 can be written in

Answer

Infinite geometric series

Answer

Binomial series

Answer

None of these

Answer

Arithmetic series

Question 46

46. 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 47

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

Question 48

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

Question 49

49. Common fraction of 7.755 is

Question 50

50. 5th term of a G.P. is 2, then the product of first 9 terms is

Answer

None of these

Question 51

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

Question 52

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

Question 53

53. 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 54

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

Answer

None of these

Question 55

55. Which one is true?

Answer

None of these

Question 56

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

Question 57

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

Answer

Arithmetic series

Answer

Geometric series

Answer

Infinite series

Answer

Harmonic series

Question 58

58. 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 59

59. 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 60

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

Question 61

61. 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 62

62. The A.M between 1 – x + x² is

Question 63

63. 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

– 1 < r < 1

Answer

r < – 1, r > 1

Question 64

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

Answer

None of these

Answer 88

Real numbers

Answer 89

A sequence

Answer 90

Not a sequence

Answer 91

17, 4n – 3

Answer 92

4n – 3, 17

Answer 93

17, 3n – 4

Answer 94

Not a sequence

Answer 95

A sequence

Answer 96

a + (n – 1) d

Answer 97

a (1 – rⁿ)/1 – r

Answer 98

n/2 {2a + (n – 1) d}

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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Key Preparation Tips:

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