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. 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 2

2. 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 3

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

Answer

None of these

Question 4

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

Question 5

5. 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 6

6. 2¹+2²+2³+…+2ⁿ =

Answer

2(2ⁿ¯¹ – 1)

Answer

None of these

Answer

2(2ⁿ⁺¹ – 1)

Answer

2(2ⁿ – 1)

Question 7

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

Question 8

8. 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 9

9. Geometric sequence cannot contain

Answer

None of these

Question 10

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

Answer

None of these

Question 11

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

Question 12

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

Question 13

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

Answer

None of these

Question 14

14. 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 15

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

Answer

Onto function

Answer

Identity function

Question 16

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

Answer

None of these

Question 17

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

Answer

None of these

Answer

Arithmetic

Question 18

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

Question 19

19. 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 20

20. 9th term of the sequence 25/3, 1/3, 1/6 --------- is

Question 21

21. No term of an harmonic sequence can be

Question 22

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

Question 23

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

Answer

Harmonic series

Question 24

24. The A.M between 1 – x + x² is

Question 25

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

Question 26

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

Question 27

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

Question 28

28. 5th term of a G.P. is 2, then the product of first 9 terms is

Answer

None of these

Question 29

29. 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

b(b/a)ᵐᐟⁿ⁺¹

Answer

a(b/a)ᵐᐟⁿ⁺¹

Question 30

30. 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 31

31. 21 + 22 + 23 + …….. + 2n =

Answer

2(2n + 1 – 1)

Answer

None of these

Answer

2(2n – 1 – 1)

Answer

2(2n – 1)

Question 32

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

Question 33

33. 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 34

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

Question 35

35. 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 36

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

Answer

2,3,5,……

Answer

1,3,5,……

Answer

5,3,1,……

Answer

1,3,6,…..

Question 37

37. 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 38

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

Question 39

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

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

Answer

Convergent

Answer

None of these

Answer

Oscillatory

Question 42

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

Question 43

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

Answer

y – 1/2y

Question 44

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

Question 45

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

Question 46

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

Question 47

47. Nth term of A.P is

Answer

None of these

Answer

a + (n – 1)d

Question 48

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

Question 49

49. 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 50

50. Which one is true?

Answer

None of these

Question 51

51. 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 52

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

Answer

Geometric series

Answer

Infinite series

Answer

Harmonic series

Answer

Arithmetic series

Question 53

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

Question 54

54. The common ratio of a geometric sequence cannot be

Question 55

55. 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 56

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

Question 57

57. Three G.M between 5 & 0.008 are

Answer

0.02,0.05,0.06

Answer

02,0.5.0.6

Answer

1.0,2,0.0.04

Answer

None of these

Question 58

58. Common fraction of 7.755 is

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

Not a sequence

Answer

A sequence

Question 60

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

Question 61

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

Question 62

62. 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 63

63. 2,4,6,8,10,12, ….. is

Answer

Arithmetic series

Answer

Geometric series

Question 64

64. 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

Answer 80

None of these

Answer 81

Common difference

Answer 82

Geometric mean

Answer 83

Common ratio

Answer 84

Arithmetic mean

Answer 85

Binomial series

Answer 86

None of these

Answer 87

Arithmetic series

Answer 88

Infinite geometric series

Answer 89

arⁿ⁺¹

Answer 90

Harmonic series

Answer 91

2 (c – a)

Answer 92

2 (f – d)

Answer 93

2 (d – c)

Answer 94

a + m(b–a)/n+1

Answer 95

a + m(a–b)/n+1

Answer 96

a + n(b–a)/n+1

Answer 97

None of these

Answer 98

– 1 ≤ r ≤ 1

Answer 99

r ≤ – 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.
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