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what does Harmonic mean means ? [#permalink]
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22 Oct 2009, 20:18
if X, Y and Z are in Harmonic Progression, what is the Harmonic mean of this series ?
what does Harmonic mean means ?



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Re: what does Harmonic mean means ? [#permalink]
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22 Oct 2009, 20:22
reciprocal of AP ..
a , a /1+d , a/1+2d........



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Re: what does Harmonic mean means ? [#permalink]
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22 Oct 2009, 20:28
sorry, could not get you .........I asked Harmonic mean



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Re: what does Harmonic mean means ? [#permalink]
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22 Oct 2009, 20:33
Let me give one examples say ...
if i have 3,4,6 as harmonic series..what is the harmonic mean ?
do i do it like sum of all terms / number of terms = (3+4+6)/3 =13/3
Or
do I reciprocate the things first to convert it into a AP i.e 1/3,1/4,1/6 are now in AP .....Now again I am stuck here because We are asked to find Harmonic mean , So do i calculate the Arithmetic mean i.e (1/3+1/6)/2or just mean by the formula sum of all terms / number of terms i.e (1/3+1/4+1/6)/3 ?
So, As you see I have messed up now ....whats the right direction ? I need explanation why I should choose one path and why to discard the other ?



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Re: what does Harmonic mean means ? [#permalink]
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18 Oct 2012, 08:32
In my opinion, Harmonic mean = N Divided by (summation of individual reciprocals of N terms). For example, harmonic mean of 1,2,3 will be
3 / [(1/1) + (1/2) + (1/3)]



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Re: what does Harmonic mean means ? [#permalink]
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18 Oct 2012, 11:14
ghentu wrote: if X, Y and Z are in Harmonic Progression, what is the Harmonic mean of this series ?
what does Harmonic mean means ? For two numbers "x" and "y" the arithmetic mean = \(\frac{x+y}{2}\) Harmonic mean = \((\frac{1}{x} + \frac{1}{y}/2)^1\) i.e Raised to the power of 1
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Re: what does Harmonic mean means ?
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18 Oct 2012, 11:14







