Mathematics Sequences and Series Online Test

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Question 1

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

Question 2

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

Answer

Geometric series

Answer

Harmonic series

Answer

Infinite series

Answer

Arithmetic series

Question 3

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

Answer

None of these

Answer

Arithmetic

Question 4

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

Answer

None of these

Question 5

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

Question 8

8. Which one is true?

Answer

None of these

Question 9

9. 21 + 22 + 23 + …….. + 2n =

Answer

None of these

Answer

2(2n – 1)

Answer

2(2n + 1 – 1)

Answer

2(2n – 1 – 1)

Question 10

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

Question 11

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

Question 12

12. 5th term of a G.P. is 2, then the product of first 9 terms is

Answer

None of these

Question 13

13. The common ratio of a geometric sequence cannot be

Question 14

14. 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)ᵐᐟⁿ⁺¹

Answer

A(b/a)ⁿᐟⁿ⁺¹

Question 15

15. 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 16

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

Answer

r < – 1, r > 1

Answer

– 1 ≤ r ≤ 1

Answer

r ≤ – 1, r ≥ 1

Answer

– 1 < r < 1

Question 17

17. 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 18

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

Question 19

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

Question 20

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

Question 21

21. 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 22

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

Question 23

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

Question 24

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

Answer

a + (n – 1) d

Answer

n/2 {2a + (n – 1) d}

Answer

a (1 – rⁿ)/1 – r

Question 25

25. 2,4,6,8,10,12, ….. is

Answer

Arithmetic series

Answer

Geometric series

Question 26

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

Answer

Geometric series

Answer

Arithmetic series

Answer

Harmonic series

Answer

Infinite series

Question 27

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

Question 28

28. Three G.M between 5 & 0.008 are

Answer

1.0,2,0.0.04

Answer

None of these

Answer

0.02,0.05,0.06

Answer

02,0.5.0.6

Question 29

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

Answer

Harmonic series

Question 30

30. Common fraction of 7.755 is

Question 31

31. 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 32

32. 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 33

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

Question 34

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

Question 35

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

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. 4:32 can be written in

Answer

Binomial series

Answer

Arithmetic series

Answer

None of these

Answer

Infinite geometric series

Question 38

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

Question 39

39. 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 40

40. 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 41

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

Answer

Common ratio

Answer

Common difference

Answer

Arithmetic mean

Answer

Geometric mean

Question 42

42. 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 43

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

Question 44

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

Question 45

45. The A.M between 1 – x + x² is

Question 46

46. 2¹+2²+2³+…+2ⁿ =

Answer

None of these

Answer

2(2ⁿ – 1)

Answer

2(2ⁿ⁺¹ – 1)

Answer

2(2ⁿ¯¹ – 1)

Question 47

47. 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 48

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

Question 49

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

Answer

None of these

Question 50

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

Question 51

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

Answer

None of these

Question 52

52. Nth term of A.P is

Answer

a + (n – 1)d

Answer

None of these

Question 53

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

Answer

None of these

Question 54

54. No term of an harmonic sequence can be

Question 55

55. 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 56

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

Answer

5,3,1,……

Answer

1,3,5,……

Answer

1,3,6,…..

Answer

2,3,5,……

Question 57

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

Question 58

58. 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 59

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

Question 60

60. 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 61

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

Answer

A sequence

Answer

Not a sequence

Question 62

62. 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(b–a)/n+1

Answer

a + m(a–b)/n+1

Answer

None of these

Answer

a + n(b–a)/n+1

Question 63

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

Question 64

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

Answer 90

y – 1/2y

Answer 91

Onto function

Answer 92

Identity function

Answer 93

None of these

Answer 94

Convergent

Answer 95

Oscillatory

Answer 96

1,2,3, …………..

Answer 97

-2/3, 1, 7/3 ………….

Answer 98

None of these

Answer 99

-7/5, -5/3, -1,……..

Answer 100

None of these

Answer 101

None of these

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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Math Sequences and Series Practice Test Online With Explanation

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