Mathematics Sequences and Series Online Test

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Question 1

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

Answer

None of these

Question 2

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

Answer

Geometric series

Answer

Arithmetic series

Answer

Harmonic series

Answer

Infinite series

Question 3

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

Answer

1,3,6,…..

Answer

1,3,5,……

Answer

5,3,1,……

Answer

2,3,5,……

Question 4

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

Question 5

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

Question 6

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

Question 7

7. Three G.M between 5 & 0.008 are

Answer

02,0.5.0.6

Answer

None of these

Answer

0.02,0.05,0.06

Answer

1.0,2,0.0.04

Question 8

8. 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

None of these

Answer

a + n(b–a)/n+1

Answer

a + m(b–a)/n+1

Question 9

9. 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 10

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

Question 11

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

Question 12

12. 2,4,6,8,10,12, ….. is

Answer

Arithmetic series

Answer

Geometric series

Question 13

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

Question 14

14. 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 15

15. 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 16

16. 5th term of a G.P. is 2, then the product of first 9 terms is

Answer

None of these

Question 17

17. Common fraction of 7.755 is

Question 18

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

Question 19

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

Question 20

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

Answer

Infinite series

Answer

Geometric series

Answer

Arithmetic series

Answer

Harmonic series

Question 21

21. Nth term of A.P is

Answer

a + (n – 1)d

Answer

None of these

Question 22

22. 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 23

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

Question 24

24. 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 25

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

Answer

None of these

Question 26

26. 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 27

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

Answer

Oscillatory

Answer

None of these

Answer

Convergent

Question 28

28. 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 29

29. Which one is true?

Answer

None of these

Question 30

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

Question 31

31. 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 32

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

Answer

Harmonic series

Question 33

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

Question 34

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

Question 35

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

Question 36

36. 2¹+2²+2³+…+2ⁿ =

Answer

2(2ⁿ¯¹ – 1)

Answer

2(2ⁿ⁺¹ – 1)

Answer

2(2ⁿ – 1)

Answer

None of these

Question 37

37. 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 38

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

Question 39

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

Question 40

40. Geometric sequence cannot contain

Answer

None of these

Question 41

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

Question 42

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

Answer

y – 1/2y

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. 21 + 22 + 23 + …….. + 2n =

Answer

2(2n – 1)

Answer

2(2n + 1 – 1)

Answer

None of these

Answer

2(2n – 1 – 1)

Question 45

45. 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 46

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

Answer

Onto function

Answer

Identity function

Question 47

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

Answer

None of these

Question 48

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

Question 49

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

Answer

Arithmetic series

Answer

Infinite series

Answer

Harmonic series

Answer

Geometric series

Question 50

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

Answer

None of these

Answer

1,2,3, …………..

Answer

-7/5, -5/3, -1,……..

Answer

-2/3, 1, 7/3 ………….

Question 51

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

Answer

None of these

Question 52

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

Answer

None of these

Question 53

53. No term of an harmonic sequence can be

Question 54

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

Question 55

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

Answer

2 (d – c)

Answer

2 (c – a)

Answer

2 (f – d)

Question 56

56. 4:32 can be written in

Answer

Binomial series

Answer

Arithmetic series

Answer

None of these

Answer

Infinite geometric series

Question 57

57. 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 58

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

Answer

r ≤ – 1, r ≥ 1

Answer

r < – 1, r > 1

Answer

– 1 < r < 1

Answer

– 1 ≤ r ≤ 1

Question 59

59. 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 60

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

Question 61

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

Answer

Harmonic series

Answer

Infinite series

Answer

Geometric series

Answer

Arithmetic series

Question 62

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

Question 63

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

Question 64

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

Answer 92

None of these

Answer 93

Arithmetic

Answer 94

None of these

Answer 95

Common difference

Answer 96

Geometric mean

Answer 97

Common ratio

Answer 98

Arithmetic mean

Answer 99

None of these

Answer 100

Not a sequence

Answer 101

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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