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

Question 2

2. 4:32 can be written in

Answer

Infinite geometric series

Answer

None of these

Answer

Arithmetic series

Answer

Binomial series

Question 3

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

Answer

2 (d – c)

Answer

2 (c – a)

Answer

2 (f – d)

Question 4

4. a₂₇ of 7, 23/2, 32/2, --------- is

Question 5

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

Question 6

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

Question 7

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

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

Answer

Harmonic series

Question 10

10. 5th term of a G.P. is 2, then the product of first 9 terms is

Answer

None of these

Question 11

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

Question 12

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

Question 13

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

Answer

Arithmetic series

Answer

Harmonic series

Answer

Infinite series

Answer

Geometric series

Question 14

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

Answer

None of these

Question 15

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

Question 16

16. The common ratio of a geometric sequence cannot be

Question 17

17. 9th term of the sequence 25/3, 1/3, 1/6 --------- is

Question 18

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

Answer

Harmonic series

Answer

Geometric series

Answer

Infinite series

Answer

Arithmetic series

Question 19

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

Question 20

20. 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 21

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

Question 22

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

Answer

Arithmetic

Answer

None of these

Question 23

23. 2,4,6,8,10,12, ….. is

Answer

Arithmetic series

Answer

Geometric series

Question 24

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

Answer

Geometric series

Answer

Harmonic series

Answer

Arithmetic series

Answer

Infinite series

Question 25

25. Nth term of A.P is

Answer

a + (n – 1)d

Answer

None of these

Question 26

26. 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 27

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

Question 28

28. 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 29

29. No term of an harmonic sequence can be

Question 30

30. 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 31

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

Question 32

32. 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 33

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

Answer

Common difference

Answer

Arithmetic mean

Answer

Geometric mean

Answer

Common ratio

Question 34

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

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. 2¹+2²+2³+…+2ⁿ =

Answer

2(2ⁿ¯¹ – 1)

Answer

2(2ⁿ – 1)

Answer

2(2ⁿ⁺¹ – 1)

Answer

None of these

Question 37

37. The A.M between 1 – x + x² is

Question 38

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

Question 39

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

Answer

Onto function

Answer

Identity function

Question 40

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

Question 41

41. 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 42

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

Question 43

43. 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 44

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

Answer

None of these

Question 45

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

Answer

– 1 ≤ r ≤ 1

Answer

r < – 1, r > 1

Answer

– 1 < r < 1

Answer

r ≤ – 1, r ≥ 1

Question 46

46. 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 47

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

Question 48

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

Answer

y – 1/2y

Question 49

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

Question 50

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

Answer

1,3,5,……

Answer

2,3,5,……

Answer

5,3,1,……

Answer

1,3,6,…..

Question 51

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

Answer

None of these

Question 52

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

Question 53

53. 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 54

54. Geometric sequence cannot contain

Answer

None of these

Question 55

55. 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 + m(a–b)/n+1

Answer

a + n(b–a)/n+1

Answer

a + m(b–a)/n+1

Answer

None of these

Question 56

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

Question 57

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

Answer

Arithmetic series

Answer

Geometric series

Answer

Harmonic series

Answer

Infinite series

Question 58

58. 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 59

59. Three G.M between 5 & 0.008 are

Answer

0.02,0.05,0.06

Answer

None of these

Answer

1.0,2,0.0.04

Answer

02,0.5.0.6

Question 60

60. 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 61

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

Question 62

62. 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 63

63. Common fraction of 7.755 is

Question 64

64. 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

Answer 88

None of these

Answer 89

a(b/a)ᵐᐟⁿ⁺¹

Answer 90

b(b/a)ᵐᐟⁿ⁺¹

Answer 91

A(b/a)ⁿᐟⁿ⁺¹

Answer 92

None of these

Answer 93

Oscillatory

Answer 94

None of these

Answer 95

Convergent

Answer 96

None of these

Answer 97

None of these

Answer 98

2(2n – 1 – 1)

Answer 99

2(2n + 1 – 1)

Answer 100

None of these

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.
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