Mathematics Sequences and Series Online Test

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Question 1

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

Question 2

2. 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 3

3. 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 4

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

Question 5

5. No term of an harmonic sequence can be

Question 6

6. Geometric sequence cannot contain

Answer

None of these

Question 7

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

Answer

Harmonic series

Answer

Arithmetic series

Answer

Geometric series

Answer

Infinite series

Question 8

8. 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 9

9. 2¹+2²+2³+…+2ⁿ =

Answer

2(2ⁿ¯¹ – 1)

Answer

2(2ⁿ⁺¹ – 1)

Answer

2(2ⁿ – 1)

Answer

None of these

Question 10

10. 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 11

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

Question 12

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

Answer

None of these

Answer

Convergent

Answer

Oscillatory

Question 13

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

Answer

17, 4n – 3

Answer

4n – 3, 17

Answer

17, 3n – 4

Question 14

14. 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 15

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

Question 16

16. 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 17

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

Answer

Harmonic series

Answer

Arithmetic series

Answer

Geometric series

Answer

Infinite series

Question 18

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

Question 19

19. 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 20

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

Answer

2 (d – c)

Answer

2 (f – d)

Answer

2 (c – a)

Question 21

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

Answer

None of these

Answer

-2/3, 1, 7/3 ………….

Answer

-7/5, -5/3, -1,……..

Answer

1,2,3, …………..

Question 22

22. 2,4,6,8,10,12, ….. is

Answer

Arithmetic series

Answer

Geometric series

Question 23

23. The A.M between 1 – x + x² is

Question 24

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

Answer

None of these

Question 25

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

Answer

Arithmetic series

Answer

Harmonic series

Answer

Geometric series

Answer

Infinite series

Question 26

26. Common fraction of 7.755 is

Question 27

27. 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 28

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

Answer

None of these

Question 29

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

Answer

None of these

Answer

Arithmetic

Question 30

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

Question 31

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

Question 32

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

Question 33

33. The common ratio of a geometric sequence cannot be

Question 34

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

Answer

Harmonic series

Question 35

35. 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 36

36. 5th term of a G.P. is 2, then the product of first 9 terms is

Answer

None of these

Question 37

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

Answer

None of these

Question 38

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

Answer

None of these

Question 39

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

Question 40

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

Question 41

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

Question 42

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

Answer

None of these

Question 43

43. 21 + 22 + 23 + …….. + 2n =

Answer

2(2n – 1 – 1)

Answer

2(2n – 1)

Answer

2(2n + 1 – 1)

Answer

None of these

Question 44

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

Question 45

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

Answer

Arithmetic mean

Answer

Common ratio

Answer

Geometric mean

Answer

Common difference

Question 46

46. Nth term of A.P is

Answer

None of these

Answer

a + (n – 1)d

Question 47

47. 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 48

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

Question 49

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

Question 50

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

Question 51

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

Answer

Identity function

Answer

Onto function

Question 52

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

Question 53

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

Question 54

54. 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 + m(b–a)/n+1

Answer

a + n(b–a)/n+1

Answer

None of these

Question 55

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

Question 56

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

Question 57

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

Question 58

58. 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

a(b/a)ᵐᐟⁿ⁺¹

Answer

b(b/a)ᵐᐟⁿ⁺¹

Question 59

59. 4:32 can be written in

Answer

None of these

Answer

Infinite geometric series

Answer

Arithmetic series

Answer

Binomial series

Question 60

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

Question 61

61. 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 62

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

Answer

y – 1/2y

Question 63

63. 9th term of the sequence 25/3, 1/3, 1/6 --------- is

Question 64

64. 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

Answer 90

None of these

Answer 91

0.02,0.05,0.06

Answer 92

02,0.5.0.6

Answer 93

None of these

Answer 94

1.0,2,0.0.04

Answer 95

None of these

Answer 96

Arithmetic series

Answer 97

Infinite series

Answer 98

Geometric series

Answer 99

Harmonic series

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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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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