Mathematics Sequences and Series Online Test

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Question 1

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

Question 2

2. a₂₇ of 7, 23/2, 32/2, --------- is

Question 3

3. Three G.M between 5 & 0.008 are

Answer

0.02,0.05,0.06

Answer

02,0.5.0.6

Answer

None of these

Answer

1.0,2,0.0.04

Question 4

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

Question 5

5. 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 6

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

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

A sequence

Answer

Not a sequence

Question 8

8. 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 9

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

Question 10

10. 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 11

11. 4:32 can be written in

Answer

Arithmetic series

Answer

None of these

Answer

Binomial series

Answer

Infinite geometric series

Question 12

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

Question 13

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

Question 14

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

Question 15

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

Answer

None of these

Answer

Arithmetic

Question 16

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

Answer

n/2 {2a + (n – 1) d}

Answer

a + (n – 1) d

Answer

a (1 – rⁿ)/1 – r

Question 17

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

Answer

Infinite series

Answer

Geometric series

Answer

Harmonic series

Answer

Arithmetic series

Question 18

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

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

Question 21

21. 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 22

22. 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 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. Geometric sequence cannot contain

Answer

None of these

Question 25

25. 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 26

26. 5th term of a G.P. is 2, then the product of first 9 terms is

Answer

None of these

Question 27

27. 21 + 22 + 23 + …….. + 2n =

Answer

2(2n – 1)

Answer

None of these

Answer

2(2n + 1 – 1)

Answer

2(2n – 1 – 1)

Question 28

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

Answer

-7/5, -5/3, -1,……..

Answer

1,2,3, …………..

Answer

None of these

Answer

-2/3, 1, 7/3 ………….

Question 29

29. 2¹+2²+2³+…+2ⁿ =

Answer

2(2ⁿ⁺¹ – 1)

Answer

2(2ⁿ¯¹ – 1)

Answer

2(2ⁿ – 1)

Answer

None of these

Question 30

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

Question 31

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

Question 32

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

Question 33

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

Answer

Infinite series

Answer

Harmonic series

Answer

Geometric series

Answer

Arithmetic series

Question 34

34. No term of an harmonic sequence can be

Question 35

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

Answer

Convergent

Answer

Oscillatory

Answer

None of these

Question 36

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

Answer

5,3,1,……

Answer

1,3,5,……

Answer

2,3,5,……

Answer

1,3,6,…..

Question 37

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

Question 38

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

Answer

y – 1/2y

Question 39

39. The common ratio of a geometric sequence cannot be

Question 40

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

Question 41

41. 9th term of the sequence 25/3, 1/3, 1/6 --------- is

Question 42

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

Question 43

43. 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 44

44. 2,4,6,8,10,12, ….. is

Answer

Geometric series

Answer

Arithmetic series

Question 45

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

Question 46

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

Question 47

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

Answer

Common ratio

Answer

Geometric mean

Answer

Arithmetic mean

Answer

Common difference

Question 48

48. Nth term of A.P is

Answer

a + (n – 1)d

Answer

None of these

Question 49

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

Answer

None of these

Question 50

50. 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

– 1 < r < 1

Answer

r < – 1, r > 1

Question 51

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

Answer

None of these

Question 52

52. Which one is true?

Answer

None of these

Question 53

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

Answer

Harmonic series

Question 54

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

Answer

None of these

Question 55

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

Question 56

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

Question 57

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

Question 58

58. Common fraction of 7.755 is

Question 59

59. 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 60

60. 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 61

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

Answer

Infinite series

Answer

Geometric series

Answer

Harmonic series

Answer

Arithmetic series

Question 62

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

Question 63

63. 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 64

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

Answer 86

None of these

Answer 87

Real numbers

Answer 88

a + m(a–b)/n+1

Answer 89

a + n(b–a)/n+1

Answer 90

a + m(b–a)/n+1

Answer 91

None of these

Answer 92

Harmonic series

Answer 93

Geometric series

Answer 94

Arithmetic series

Answer 95

Infinite series

Answer 96

2 (c – a)

Answer 97

2 (f – d)

Answer 98

2 (d – c)

Answer 99

Identity function

Answer 100

Onto function

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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