Harmonic Sequences MCQ

Test your knowledge with important Harmonic Sequences MCQ and their applications. These MCQs are beneficial for competitive exams too. Explore 30 + more Harmonic Sequences MCQs at Bissoy

• If A, G, H are the AM, GM, HM between a and b respectively then?
  ক

  A, G, H are in hp

  খ

  A, G, H are in gp

  গ

  A, G, H are in ap

  ঘ

  None of the mentioned
• For two number a,b HM between them is given by?
  ক

  (2b+2a )/3b

  খ

  2ab/(a+[

  গ

  (a+b)/2ab

  ঘ

  2b/(a+b)
• Which of the following gives the right inequality for AM, GM, HM?
  ক

  AM>=HM>=GM

  খ

  GM>=AM>=HM

  গ

  AM>=GM>=HM

  ঘ

  GM>=HM>=AM
• For number B, C if H is harmonic mean, A is the airthmetic mean then H>=A.
  ক

  True

  খ

  False
• For number A, C if H is harmonic mean, G is geometric mean then H>=G.
  ক

  True

  খ

  False
• If a, b, c are in hp, then b is related with a and c as _________
  ক

  2(1⁄ = (1⁄a + 1⁄

  খ

  = (1⁄a + 1⁄

  গ

  b) 2(1⁄[ = (1⁄b + 1⁄[ [ 2(1⁄a) = (1⁄a + 1⁄b)

  ঘ

  None of the mentioned
• If a, b, c are in hp then a-1, b-1, c-1 are in _________
  ক

  GP

  খ

  HP

  গ

  AP

  ঘ

  None of the mentioned
• If for some number a and d, if first term is 1⁄a, second term is 1/(a+d), thrid term is 1/(a+2d) and so on, then 5th term of the sequence is?
  ক

  a+4d

  খ

  a-4d
• The ninth term of 1⁄3, 1⁄7, 1⁄11, 1⁄15, 1⁄19,……… is given by?
  ক

  1⁄35

  খ

  1⁄36

  গ

  1⁄39

  ঘ

  None of the mentioned
• If a1, a2……… are in AP then a1-1, a2-1……… are in __________
  ক

  An airthmetic sequence

  খ

  A geometic progression

  গ

  Airthmetico-geometric progression

  ঘ

  None of the mentioned