Discrete Mathematics Questions and Answers – Harmonic Sequences

This set of Discrete Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Harmonic Sequences”.

1. If a₁, a₂……… are in AP then a₁^-1, a₂^-1……… are in __________
a) An airthmetic sequence
b) A geometic progression
c) Airthmetico-geometric progression
d) None of the mentioned
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2. The ninth term of ¹⁄₃, ¹⁄₇, ¹⁄₁₁, ¹⁄₁₅, ¹⁄₁₉,……… is given by?
a) ¹⁄₃₅
b) ¹⁄₃₆
c) ¹⁄₃₉
d) None of the mentioned
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3. 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 5^th term of the sequence is?
a) a+4d
b) a-4d
c) 1/(a+4d)
d) none of the mentioned
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4. If a, b, c are in hp then a^-1, b^-1, c^-1 are in _________
a) GP
b) HP
c) AP
d) None of the mentioned
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5. If a, b, c are in hp, then b is related with a and c as _________
a) 2(¹⁄_b) = (¹⁄_a + ¹⁄_c)
b) 2(¹⁄_c) = (¹⁄_b + ¹⁄_c)
c) 2(¹⁄_a) = (¹⁄_a + ¹⁄_b)
d) None of the mentioned
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6. For number A, C if H is harmonic mean, G is geometric mean then H>=G.
a) True
b) False
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7. For number B, C if H is harmonic mean, A is the airthmetic mean then H>=A.
a) True
b) False
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8. Which of the following gives the right inequality for AM, GM, HM?
a) AM>=HM>=GM
b) GM>=AM>=HM
c) AM>=GM>=HM
d) GM>=HM>=AM
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9. For two number a,b HM between them is given by?
a) (2b+2a )/3b
b) 2ab/(a+b)
c) (a+b)/2ab
d) 2b/(a+b)
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10. If A, G, H are the AM, GM, HM between a and b respectively then?
a) A, G, H are in hp
b) A, G, H are in gp
c) A, G, H are in ap
d) None of the mentioned
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Sanfoundry Global Education & Learning Series – Discrete Mathematics.

To practice all areas of Discrete Mathematics, here is complete set of 1000+ Multiple Choice Questions and Answers.

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