What is Harmonic Progression ? What is Harmonic Series ? Is there any formula to find sum to 'n' terms in a harmonic progression ?
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28th January 2012,
7:48 PM
Answered by Expert
Answer:
In mathematics, a harmonic progression is a progression formed by taking the reciprocals of an arithmetic progression. In other words, it is a sequence of the form
where ?1/d is not a natural number.
the harmonic series is the divergent infinite series:
Every term of the series after the first is the harmonic mean of the neighboring terms.
There isn't a good closed form expression. As a special case, one has the Harmonic numbers
There isn't even a good closed form expression for this particular sum, although there is a good approximation
where
is the Euler-Mascheroni constant. Similar approximations can be given for more general sums of harmonic progressions.
There isn't even a good closed form expression for this particular sum, although there is a good approximation
where
is the Euler-Mascheroni constant. Similar approximations can be given for more general sums of harmonic progressions.
Answered by Expert
29th January 2012,
8:05 PM
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