Mathematics Sequences and Series Online Test

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Question 1

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

Answer

None of these

Question 2

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

Question 3

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

Answer

None of these

Question 4

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

Answer

Infinite series

Answer

Harmonic series

Answer

Geometric series

Answer

Arithmetic series

Question 5

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

Question 6

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

Question 7

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

Question 8

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

Question 9

9. 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 10

10. 21 + 22 + 23 + …….. + 2n =

Answer

2(2n – 1)

Answer

None of these

Answer

2(2n – 1 – 1)

Answer

2(2n + 1 – 1)

Question 11

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

Question 12

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

Question 13

13. 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 14

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

Answer

y – 1/2y

Question 15

15. Geometric sequence cannot contain

Answer

None of these

Question 16

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

Question 17

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

Question 18

18. 4:32 can be written in

Answer

Infinite geometric series

Answer

None of these

Answer

Arithmetic series

Answer

Binomial series

Question 19

19. 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 20

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

Question 21

21. 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 22

22. 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 23

23. 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 24

24. 9th term of the sequence 25/3, 1/3, 1/6 --------- is

Question 25

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

Question 26

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

Answer

Harmonic series

Question 27

27. 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 28

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

Question 29

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

Answer

5,3,1,……

Answer

1,3,6,…..

Answer

2,3,5,……

Answer

1,3,5,……

Question 30

30. 2,4,6,8,10,12, ….. is

Answer

Geometric series

Answer

Arithmetic series

Question 31

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

Answer

Arithmetic series

Answer

Harmonic series

Answer

Infinite series

Answer

Geometric series

Question 32

32. 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

None of these

Answer

a + m(b–a)/n+1

Answer

a + n(b–a)/n+1

Answer

a + m(a–b)/n+1

Question 33

33. Which one is true?

Answer

None of these

Question 34

34. 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 35

35. 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 36

36. The common ratio of a geometric sequence cannot be

Question 37

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

Answer

None of these

Answer

Arithmetic

Question 38

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

Question 39

39. 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 40

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

Answer

Arithmetic series

Answer

Infinite series

Answer

Geometric series

Answer

Harmonic series

Question 41

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

Question 42

42. 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 43

43. 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 44

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

Question 45

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

Answer

17, 3n – 4

Answer

17, 4n – 3

Answer

4n – 3, 17

Question 46

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

Answer

None of these

Question 47

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

Question 48

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

Answer

Common ratio

Answer

Arithmetic mean

Answer

Common difference

Answer

Geometric mean

Question 49

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

Question 50

50. The A.M between 1 – x + x² is

Question 51

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

Answer

2 (f – d)

Answer

2 (c – a)

Answer

2 (d – c)

Question 52

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

Answer

Geometric series

Answer

Harmonic series

Answer

Arithmetic series

Answer

Infinite series

Question 53

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

Answer

None of these

Question 54

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

Question 55

55. 2¹+2²+2³+…+2ⁿ =

Answer

2(2ⁿ⁺¹ – 1)

Answer

2(2ⁿ – 1)

Answer

2(2ⁿ¯¹ – 1)

Answer

None of these

Question 56

56. 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 57

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

Question 58

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

Answer

Onto function

Answer

Identity function

Question 59

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

Answer

1,2,3, …………..

Answer

None of these

Answer

-2/3, 1, 7/3 ………….

Answer

-7/5, -5/3, -1,……..

Question 60

60. Three G.M between 5 & 0.008 are

Answer

1.0,2,0.0.04

Answer

0.02,0.05,0.06

Answer

02,0.5.0.6

Answer

None of these

Question 61

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

Answer

None of these

Question 62

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

Question 63

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

Question 64

64. 5th term of a G.P. is 2, then the product of first 9 terms is

Answer

None of these

Answer 91

A(b/a)ⁿᐟⁿ⁺¹

Answer 92

b(b/a)ᵐᐟⁿ⁺¹

Answer 93

a(b/a)ᵐᐟⁿ⁺¹

Answer 94

None of these

Answer 95

None of these

Answer 96

Convergent

Answer 97

Oscillatory

Answer 98

a + (n – 1)d

Answer 99

None of these

Answer 100

A sequence

Answer 101

Not a sequence

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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