Mathematics Sequences and Series Online Test

Q: How can I prepare for Mathematics Sequences and Series Online Test?

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

Question 2

2. Nth term of A.P is

Answer

a + (n – 1)d

Answer

None of these

Question 3

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

Question 4

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

Answer

Convergent

Answer

None of these

Answer

Oscillatory

Question 5

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

Answer

Harmonic series

Answer

Infinite series

Answer

Arithmetic series

Answer

Geometric series

Question 6

6. 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 7

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

Question 8

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

Question 9

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

Answer

None of these

Answer

-7/5, -5/3, -1,……..

Answer

-2/3, 1, 7/3 ………….

Answer

1,2,3, …………..

Question 10

10. 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 11

11. 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 12

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

Question 13

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

Question 14

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

Question 15

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

Answer

Geometric series

Answer

Arithmetic series

Answer

Harmonic series

Answer

Infinite series

Question 16

16. 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 17

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

Answer

None of these

Question 18

18. 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 19

19. 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 20

20. Which one is true?

Answer

None of these

Question 21

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

Question 22

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

Answer

Identity function

Answer

Onto function

Question 23

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

Answer

None of these

Answer

Arithmetic

Question 26

26. 9th term of the sequence 25/3, 1/3, 1/6 --------- is

Question 27

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

Question 28

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

Answer

None of these

Question 29

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

Answer

Arithmetic mean

Answer

Common difference

Answer

Common ratio

Answer

Geometric mean

Question 30

30. 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 31

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

Question 32

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

Question 33

33. The A.M between 1 – x + x² is

Question 34

34. No term of an harmonic sequence can be

Question 35

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

Question 36

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

Question 37

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

Question 38

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

Question 39

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

Answer

y – 1/2y

Question 40

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

Answer

None of these

Question 41

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

Question 42

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

Question 43

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

Answer

1,3,5,……

Answer

1,3,6,…..

Answer

2,3,5,……

Answer

5,3,1,……

Question 44

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

Question 45

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

Answer

None of these

Question 46

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

Question 47

47. 21 + 22 + 23 + …….. + 2n =

Answer

None of these

Answer

2(2n – 1)

Answer

2(2n + 1 – 1)

Answer

2(2n – 1 – 1)

Question 48

48. Common fraction of 7.755 is

Question 49

49. Geometric sequence cannot contain

Answer

None of these

Question 50

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

Answer

Arithmetic series

Answer

Infinite series

Answer

Geometric series

Answer

Harmonic series

Question 51

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

Answer

Harmonic series

Question 52

52. 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 53

53. 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 54

54. The common ratio of a geometric sequence cannot be

Question 55

55. 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 56

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

Answer

a (1 – rⁿ)/1 – r

Answer

n/2 {2a + (n – 1) d}

Answer

a + (n – 1) d

Question 57

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

Answer

None of these

Question 58

58. 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 59

59. 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 60

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

Question 61

61. 2,4,6,8,10,12, ….. is

Answer

Geometric series

Answer

Arithmetic series

Question 62

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

Question 63

63. 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 64

64. Three G.M between 5 & 0.008 are

Answer

None of these

Answer

0.02,0.05,0.06

Answer

1.0,2,0.0.04

Answer

02,0.5.0.6

Answer 79

Infinite series

Answer 80

Arithmetic series

Answer 81

Harmonic series

Answer 82

Geometric series

Answer 83

r < – 1, r > 1

Answer 84

– 1 ≤ r ≤ 1

Answer 85

r ≤ – 1, r ≥ 1

Answer 86

– 1 < r < 1

Answer 87

None of these

Answer 88

2(2ⁿ¯¹ – 1)

Answer 89

2(2ⁿ – 1)

Answer 90

None of these

Answer 91

2(2ⁿ⁺¹ – 1)

Answer 92

None of these

Answer 93

Not a sequence

Answer 94

A sequence

Answer 95

a(b/a)ᵐᐟⁿ⁺¹

Answer 96

A(b/a)ⁿᐟⁿ⁺¹

Answer 97

b(b/a)ᵐᐟⁿ⁺¹

Answer 98

Infinite geometric series

Answer 99

None of these

Answer 100

Binomial 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.
Test Helpful For:	ECAT Entry Test Math Online Test Interview Questions about Math All Universities Entrance Test Recruitments Tests

Mathematics Sequences and Series Online Test

Important Math Sequences and Series Question and Answer

Math Sequences and Series Practice Test Online With Explanation

Math

How to Score High in Mathematics Sequences and Series Online Test?

Key Preparation Tips:

More Related Resources

Maan Ali

3 Comments

Leave a Reply Cancel reply

Important Math Sequences and Series Question and Answer

Math Sequences and Series Practice Test Online With Explanation

Math

How to Score High in Mathematics Sequences and Series Online Test?

Key Preparation Tips:

More Related Resources

Latest Updates

Maan Ali

3 Comments

Leave a Reply Cancel reply