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. 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 2

2. A number G is said to be the geometric mean between two numbers a and b of a,G,b is

Answer

Not a sequence

Answer

A sequence

Question 3

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

Answer

n/2 {2a + (n – 1) d}

Answer

a + (n – 1) d

Answer

a (1 – rⁿ)/1 – r

Question 4

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

Question 5

5. 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(b–a)/n+1

Answer

a + m(a–b)/n+1

Answer

None of these

Question 6

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

Question 7

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

Question 8

8. 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 9

9. Geometric sequence cannot contain

Answer

None of these

Question 10

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

Question 11

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

Answer

Arithmetic series

Answer

Harmonic series

Answer

Infinite series

Answer

Geometric series

Question 12

12. 9th term of the sequence 25/3, 1/3, 1/6 --------- is

Question 13

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

Question 14

14. The A.M between 1 – x + x² is

Question 15

15. Which one is true?

Answer

None of these

Question 16

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

Answer

Common difference

Answer

Geometric mean

Answer

Common ratio

Answer

Arithmetic mean

Question 17

17. 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 18

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

Question 19

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

Answer

None of these

Question 20

20. 4:32 can be written in

Answer

Arithmetic series

Answer

Infinite geometric series

Answer

Binomial series

Answer

None of these

Question 21

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

Answer

Arithmetic

Answer

None of these

Question 22

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

Question 23

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

Answer

None of these

Question 24

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

Answer

2 (c – a)

Answer

2 (f – d)

Answer

2 (d – c)

Question 25

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

Question 26

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

Question 27

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

Answer

None of these

Question 28

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

Answer

Identity function

Answer

Onto function

Question 29

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

Question 30

30. 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 31

31. 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 32

32. 21 + 22 + 23 + …….. + 2n =

Answer

None of these

Answer

2(2n – 1 – 1)

Answer

2(2n – 1)

Answer

2(2n + 1 – 1)

Question 33

33. 2¹+2²+2³+…+2ⁿ =

Answer

2(2ⁿ¯¹ – 1)

Answer

2(2ⁿ – 1)

Answer

2(2ⁿ⁺¹ – 1)

Answer

None of these

Question 34

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

Question 35

35. 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 36

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

Question 37

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

Answer

None of these

Answer

-2/3, 1, 7/3 ………….

Answer

-7/5, -5/3, -1,……..

Answer

1,2,3, …………..

Question 38

38. 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 39

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

Answer

Infinite series

Answer

Geometric series

Answer

Arithmetic series

Answer

Harmonic series

Question 40

40. 5th term of a G.P. is 2, then the product of first 9 terms is

Answer

None of these

Question 41

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

Question 42

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

Answer

y – 1/2y

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. a₂₇ of 7, 23/2, 32/2, --------- is

Question 45

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

Answer

2,3,5,……

Answer

1,3,6,…..

Answer

5,3,1,……

Answer

1,3,5,……

Question 46

46. 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 47

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

Answer

None of these

Question 48

48. Nth term of A.P is

Answer

a + (n – 1)d

Answer

None of these

Question 49

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

Answer

None of these

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. No term of an harmonic sequence can be

Question 52

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

Question 53

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

Answer

None of these

Question 54

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

Question 55

55. The two geometric means between a and b are

Answer

a(b/a)¹ᐟ², b

Answer

b(a/b)¹ᐟ², b

Answer

a(b/a)¹ᐟ², b

Question 56

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

Answer

None of these

Answer

Oscillatory

Answer

Convergent

Question 57

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

Question 58

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

Question 59

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

Question 60

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

Answer

Infinite series

Answer

Arithmetic series

Answer

Harmonic series

Answer

Geometric series

Question 61

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

Answer

Geometric series

Answer

Harmonic series

Answer

Infinite series

Answer

Arithmetic series

Question 62

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

Question 63

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

Question 64

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

Answer 90

1.0,2,0.0.04

Answer 91

02,0.5.0.6

Answer 92

0.02,0.05,0.06

Answer 93

None of these

Answer 94

arⁿ⁺¹

Answer 95

Geometric series

Answer 96

Arithmetic series

Answer 97

Harmonic series

Answer 98

r < – 1, r > 1

Answer 99

– 1 ≤ r ≤ 1

Answer 100

r ≤ – 1, r ≥ 1

Answer 101

– 1 < r < 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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