## Harmonic Mean - 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 (an+1+bn+1)/(an+bn) be the harmonic mean between a and b, then the value of n is

•   1
•  -1
•  0
•  2

-1

Q2.  If the harmonic mean between a and b be H, then (H+a)/(H-a) + (H+b)/(H-b)

•  4
•  2
•  1
•  a+b

2

Q3. If H is the harmonic mean between p and q, then the value of H/p + H/q is

•   2
•  pq/(p+q)
•  (p+q)/pq
•   None of these

2

Q4.  H. M. between the roots of the equation x2-10x+11=0 is

•   1/5
•  5/21
•  21/20
•  11/5

11/5

Q5. The harmonic mean of a/(1-ab) and a/(1+ab) is

•  1/(a-a2b2)
•  a/(1-a2b2)
•  a
•  None of these

a

Q6.  The sixth H.M. between 3 and 6/13 is

•  63/120
•   63/12
•  125/105
•  120/63

63/120

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