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 sum of an infinite geometric series exist only if the condition on the common ratio r is

Answer

r ≤ – 1, r ≥ 1

Answer

– 1 < r < 1

Answer

r < – 1, r > 1

Answer

– 1 ≤ r ≤ 1

Question 2

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

Question 3

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

Answer

None of these

Question 4

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

Question 5

5. 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 6

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

Question 7

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

Question 8

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

Answer

Arithmetic

Answer

None of these

Question 9

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

Question 10

10. 2¹+2²+2³+…+2ⁿ =

Answer

2(2ⁿ – 1)

Answer

2(2ⁿ⁺¹ – 1)

Answer

2(2ⁿ¯¹ – 1)

Answer

None of these

Question 11

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

Answer

b(b/a)ᵐᐟⁿ⁺¹

Answer

A(b/a)ⁿᐟⁿ⁺¹

Answer

a(b/a)ᵐᐟⁿ⁺¹

Question 12

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

Question 13

13. 2,4,6,8,10,12, ….. is

Answer

Geometric series

Answer

Arithmetic series

Question 14

14. 5th term of a G.P. is 2, then the product of first 9 terms is

Answer

None of these

Question 15

15. 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 16

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

Answer

None of these

Question 17

17. 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 18

18. 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 19

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

Question 20

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

Answer

Identity function

Answer

Onto function

Question 21

21. 4:32 can be written in

Answer

Arithmetic series

Answer

Infinite geometric series

Answer

None of these

Answer

Binomial series

Question 22

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

Question 23

23. 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 24

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

Question 25

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

Question 26

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

Question 27

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

Answer

None of these

Question 28

28. 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 29

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

Answer

y – 1/2y

Question 30

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

Question 31

31. Nth term of A.P is

Answer

None of these

Answer

a + (n – 1)d

Question 32

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

Question 33

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

Answer

Geometric series

Answer

Infinite series

Answer

Arithmetic series

Answer

Harmonic series

Question 34

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

Question 35

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

Question 36

36. Geometric sequence cannot contain

Answer

None of these

Question 37

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

Question 38

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

Answer

Oscillatory

Answer

Convergent

Answer

None of these

Question 39

39. 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 40

40. 21 + 22 + 23 + …….. + 2n =

Answer

None of these

Answer

2(2n – 1)

Answer

2(2n + 1 – 1)

Answer

2(2n – 1 – 1)

Question 41

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

Question 42

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

Answer

Arithmetic series

Answer

Harmonic series

Answer

Geometric series

Answer

Infinite series

Question 43

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

Question 44

44. 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 45

45. The common ratio of a geometric sequence cannot be

Question 46

46. 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 47

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

Answer

Harmonic series

Question 48

48. 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 49

49. 9th term of the sequence 25/3, 1/3, 1/6 --------- is

Question 50

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

Question 51

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

Answer

None of these

Question 52

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

Answer

None of these

Question 53

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

Question 54

54. 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 55

55. No term of an harmonic sequence can be

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 harmonic mean between the two numbers a and b is

Question 58

58. 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 59

59. 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 60

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

Answer

Arithmetic series

Answer

Infinite series

Answer

Geometric series

Answer

Harmonic series

Question 61

61. Three G.M between 5 & 0.008 are

Answer

02,0.5.0.6

Answer

0.02,0.05,0.06

Answer

1.0,2,0.0.04

Answer

None of these

Question 62

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

Question 63

63. Which one is true?

Answer

None of these

Question 64

64. Common fraction of 7.755 is

Answer 84

2,3,5,……

Answer 85

1,3,5,……

Answer 86

5,3,1,……

Answer 87

1,3,6,…..

Answer 88

None of these

Answer 89

None of these

Answer 90

a + n(b–a)/n+1

Answer 91

a + m(a–b)/n+1

Answer 92

a + m(b–a)/n+1

Answer 93

None of these

Answer 94

Common ratio

Answer 95

Geometric mean

Answer 96

Arithmetic mean

Answer 97

Common difference

Answer 98

2 (f – d)

Answer 99

2 (c – a)

Answer 100

2 (d – c)

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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