Mathematics Sequences and Series Online Test

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Question 1

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

Answer

Arithmetic series

Answer

Geometric series

Answer

Infinite series

Answer

Harmonic series

Question 2

2. 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

r < – 1, r > 1

Answer

– 1 ≤ r ≤ 1

Question 3

3. 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 4

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

Question 5

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

Answer

Harmonic series

Answer

Arithmetic series

Answer

Infinite series

Answer

Geometric series

Question 6

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

Question 7

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

Question 8

8. 2¹+2²+2³+…+2ⁿ =

Answer

2(2ⁿ⁺¹ – 1)

Answer

2(2ⁿ – 1)

Answer

None of these

Answer

2(2ⁿ¯¹ – 1)

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

A sequence

Answer

Not a sequence

Question 10

10. 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 11

11. Common fraction of 7.755 is

Question 12

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

Question 13

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

Answer

Harmonic series

Question 14

14. Which one is true?

Answer

None of these

Question 15

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

Question 16

16. Geometric sequence cannot contain

Answer

None of these

Question 17

17. Three G.M between 5 & 0.008 are

Answer

None of these

Answer

02,0.5.0.6

Answer

1.0,2,0.0.04

Answer

0.02,0.05,0.06

Question 18

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

Answer

Convergent

Answer

Oscillatory

Answer

None of these

Question 19

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

Answer

None of these

Question 20

20. No term of an harmonic sequence can be

Question 21

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

Question 22

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

Question 23

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

Question 24

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

Question 25

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

Question 26

26. 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 27

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

Question 28

28. 2,4,6,8,10,12, ….. is

Answer

Geometric series

Answer

Arithmetic series

Question 29

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

Question 30

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

Question 31

31. 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 32

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

Question 33

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

Question 34

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

Answer

a + (n – 1) d

Answer

a (1 – rⁿ)/1 – r

Answer

n/2 {2a + (n – 1) d}

Question 35

35. 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 36

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

Question 37

37. 21 + 22 + 23 + …….. + 2n =

Answer

None of these

Answer

2(2n – 1)

Answer

2(2n – 1 – 1)

Answer

2(2n + 1 – 1)

Question 38

38. 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 39

39. 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 40

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

Question 41

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

Answer

None of these

Question 42

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

Question 43

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

Answer

None of these

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

Answer

None of these

Question 46

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

Question 47

47. 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 48

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

Answer

Arithmetic

Answer

None of these

Question 49

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

Question 50

50. 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

a + n(b–a)/n+1

Answer

None of these

Question 51

51. 4:32 can be written in

Answer

Binomial series

Answer

None of these

Answer

Infinite geometric series

Answer

Arithmetic series

Question 52

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

Question 53

53. 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 54

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

Answer

Geometric series

Answer

Arithmetic series

Answer

Infinite series

Answer

Harmonic series

Question 55

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

Answer

y – 1/2y

Question 56

56. 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 57

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

Question 58

58. 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 59

59. Nth term of A.P is

Answer

None of these

Answer

a + (n – 1)d

Question 60

60. The A.M between 1 – x + x² is

Question 61

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

Question 62

62. 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 63

63. The common ratio of a geometric sequence cannot be

Question 64

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

Answer 84

None of these

Answer 85

Identity function

Answer 86

Onto function

Answer 87

Common ratio

Answer 88

Geometric mean

Answer 89

Common difference

Answer 90

Arithmetic mean

Answer 91

None of these

Answer 92

None of these

Answer 93

None of these

Answer 94

-7/5, -5/3, -1,……..

Answer 95

-2/3, 1, 7/3 ………….

Answer 96

None of these

Answer 97

1,2,3, …………..

Answer 98

Harmonic series

Answer 99

Arithmetic series

Answer 100

Geometric series

Answer 101

Infinite series

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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