Mathematics Sequences and Series Online Test

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Question 1

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

Question 2

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

Answer

1,2,3, …………..

Answer

None of these

Answer

-7/5, -5/3, -1,……..

Answer

-2/3, 1, 7/3 ………….

Question 3

3. 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 4

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

Question 5

5. 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 6

6. 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 7

7. 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 8

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

Answer

None of these

Question 9

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

Question 10

10. 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)ⁿᐟⁿ⁺¹

Answer

a(b/a)ᵐᐟⁿ⁺¹

Question 11

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

Answer

None of these

Answer

Convergent

Answer

Oscillatory

Question 12

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

Answer

y – 1/2y

Question 13

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

Question 14

14. Geometric sequence cannot contain

Answer

None of these

Question 15

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

Question 16

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

Answer

None of these

Answer

Arithmetic

Question 17

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

Answer

Identity function

Answer

Onto function

Question 18

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

Question 19

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

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

Question 22

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

Question 23

23. 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 24

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

Question 25

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

Answer

Harmonic series

Question 26

26. 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 27

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

Question 28

28. 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 29

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

Question 30

30. 2,4,6,8,10,12, ….. is

Answer

Arithmetic series

Answer

Geometric series

Question 31

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

Question 32

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

Question 33

33. Common fraction of 7.755 is

Question 34

34. 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 35

35. 2¹+2²+2³+…+2ⁿ =

Answer

2(2ⁿ⁺¹ – 1)

Answer

2(2ⁿ¯¹ – 1)

Answer

2(2ⁿ – 1)

Answer

None of these

Question 36

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

Question 37

37. The common ratio of a geometric sequence cannot be

Question 38

38. 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

None of these

Answer

a + m(a–b)/n+1

Answer

a + m(b–a)/n+1

Question 39

39. 21 + 22 + 23 + …….. + 2n =

Answer

None of these

Answer

2(2n – 1 – 1)

Answer

2(2n + 1 – 1)

Answer

2(2n – 1)

Question 40

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

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. 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 43

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

Answer

Arithmetic series

Answer

Harmonic series

Answer

Geometric series

Answer

Infinite series

Question 44

44. 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 45

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

Answer

None of these

Question 46

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

Answer

None of these

Question 47

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

Question 48

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

Answer

Geometric series

Answer

Infinite series

Answer

Harmonic series

Answer

Arithmetic series

Question 49

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

Question 50

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

Question 51

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

Question 52

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

Question 53

53. 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 54

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

Answer

None of these

Question 55

55. 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 56

56. The fifth term and the nth term of the A.P. 1,5……. Are

Answer

4n – 3, 17

Answer

17, 3n – 4

Answer

17, 4n – 3

Question 57

57. 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 58

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

Answer

None of these

Question 59

59. No term of an harmonic sequence can be

Question 60

60. 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 61

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

Question 62

62. 5th term of a G.P. is 2, then the product of first 9 terms is

Answer

None of these

Question 63

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

Question 64

64. Nth term of A.P is

Answer

a + (n – 1)d

Answer

None of these

Answer 83

Infinite geometric series

Answer 84

None of these

Answer 85

Binomial series

Answer 86

Arithmetic series

Answer 87

Harmonic series

Answer 88

Geometric series

Answer 89

Infinite series

Answer 90

Arithmetic series

Answer 91

1.0,2,0.0.04

Answer 92

0.02,0.05,0.06

Answer 93

02,0.5.0.6

Answer 94

None of these

Answer 95

Real numbers

Answer 96

None of these

Answer 97

None of these

Answer 98

– 1 ≤ r ≤ 1

Answer 99

r ≤ – 1, r ≥ 1

Answer 100

– 1 < r < 1

Answer 101

r < – 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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