## Properties of Harmonic Progression - Basic

In mathematics, a harmonic progression (or harmonic sequence) is a progression formed by taking the reciprocals of an arithmetic progression. Equivalently, a sequence is a harmonic progression when each term is the harmonic mean of the neighboring terms.

Q1.  If 1/(b-a) + 1/(b-c) = 1/a + +1/c then a, b, c are in

•  A.P.
•  G.P.
•  H.P.
•  In G.P. and H.P. both

H.P.

Q2.  If a, b, c are in H.P., then a/(b+c) , b/(a+c) , c/(a+b) are in

•  A.P.
•  G.P.
•  H.P.
•  None of these

H.P.

Q3.  If a, b, c, d are any four consecutive coefficients of any expanded binomial, then (a+b)/a, (b+c)/b, (c+d)/c are in

•   A.P.
•  G.P.
•  H.P.
•  None of these

H.P.

Q4.  log3 2, log6 2, log12 2 are in

•   A.P.
•   G.P.
•  H.P.
•  None of these

H.P.

Q5.  If a, b, c are in H.P., then for all n belongs to N the true statement is

•  an + cn = 2bn
•  an + cn > 2bn
•  an + cn is less than 2bn
•  None of these

an + cn > 2bn

Q6.  Which number should be added to the numbers 13, 15, 19 so that the resulting numbers be the consecutive term of a H.P.

•  7
•  6
•  -6
•  -7

-7

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