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. 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 3

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

Question 4

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

Question 5

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

Answer

Identity function

Answer

Onto function

Question 6

6. 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 7

7. Geometric sequence cannot contain

Answer

None of these

Question 8

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

Answer

-2/3, 1, 7/3 ………….

Answer

1,2,3, …………..

Answer

None of these

Answer

-7/5, -5/3, -1,……..

Question 9

9. No term of an harmonic sequence can be

Question 10

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

Question 11

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

Answer

None of these

Question 12

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

Answer

None of these

Question 13

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

Question 14

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

Question 15

15. 9th term of the sequence 25/3, 1/3, 1/6 --------- is

Question 16

16. 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 17

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

Question 18

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

Question 19

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

Answer

n/2 {2a + (n – 1) d}

Answer

a (1 – rⁿ)/1 – r

Answer

a + (n – 1) d

Question 20

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

Question 21

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

Answer

Harmonic series

Question 22

22. 2¹+2²+2³+…+2ⁿ =

Answer

2(2ⁿ¯¹ – 1)

Answer

None of these

Answer

2(2ⁿ – 1)

Answer

2(2ⁿ⁺¹ – 1)

Question 23

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

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 A.P. whose nth term is 2n – 1 is

Answer

1,3,5,……

Answer

5,3,1,……

Answer

2,3,5,……

Answer

1,3,6,…..

Question 26

26. 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

a + m(a–b)/n+1

Answer

None of these

Answer

a + m(b–a)/n+1

Question 27

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

Question 28

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

Question 29

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

Answer

Geometric mean

Answer

Arithmetic mean

Answer

Common difference

Answer

Common ratio

Question 30

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

Question 33

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

Answer

Geometric series

Answer

Infinite series

Answer

Harmonic series

Answer

Arithmetic series

Question 34

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

Answer

None of these

Question 35

35. 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 36

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

Question 37

37. 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 38

38. Three G.M between 5 & 0.008 are

Answer

None of these

Answer

1.0,2,0.0.04

Answer

0.02,0.05,0.06

Answer

02,0.5.0.6

Question 39

39. 2,4,6,8,10,12, ….. is

Answer

Geometric series

Answer

Arithmetic series

Question 40

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

Answer

y – 1/2y

Question 41

41. 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 42

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

Question 43

43. 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 44

44. Common fraction of 7.755 is

Question 45

45. Nth term of A.P is

Answer

None of these

Answer

a + (n – 1)d

Question 46

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

Question 47

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

Answer

None of these

Question 48

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

Answer

None of these

Answer

Arithmetic

Question 49

49. 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)ᵐᐟⁿ⁺¹

Answer

A(b/a)ⁿᐟⁿ⁺¹

Question 50

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

Answer

None of these

Question 51

51. 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 52

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

Question 53

53. 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 54

54. 4:32 can be written in

Answer

None of these

Answer

Arithmetic series

Answer

Binomial series

Answer

Infinite geometric series

Question 55

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

Answer

r < – 1, r > 1

Answer

r ≤ – 1, r ≥ 1

Answer

– 1 < r < 1

Answer

– 1 ≤ r ≤ 1

Question 56

56. 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 57

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

Question 58

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

Answer

Geometric series

Answer

Arithmetic series

Answer

Infinite series

Answer

Harmonic series

Question 59

59. 5th term of a G.P. is 2, then the product of first 9 terms is

Answer

None of these

Question 60

60. 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 61

61. 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 62

62. Which one is true?

Answer

None of these

Question 63

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

Question 64

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

Answer 90

Infinite series

Answer 91

Arithmetic series

Answer 92

Harmonic series

Answer 93

Geometric series

Answer 94

Oscillatory

Answer 95

Convergent

Answer 96

None of these

Answer 97

None of these

Answer 98

2(2n – 1 – 1)

Answer 99

None of these

Answer 100

2(2n + 1 – 1)

Answer 101

2(2n – 1)

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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