What is formula for sum of n terms of HP?
rockakku:
Sn= n/2[2a+(n-1)d]
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sorry my formula was wrong
Answers
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There is no set formula for harmonic progression..
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4
There isn't a good closed form expression. As a special case, one has the Harmonic numbers
Hn=∑nk=11k.Hn=∑k=1n1k.
There isn't even a good closed form expression for this particular sum, although there is a good approximation
Hn≈lnn+γ,Hn≈lnn+γ,
where γγ is the Euler-Mascheroni constant. Similar approximations can be given for more general sums of harmonic progressions.
Hn=∑nk=11k.Hn=∑k=1n1k.
There isn't even a good closed form expression for this particular sum, although there is a good approximation
Hn≈lnn+γ,Hn≈lnn+γ,
where γγ is the Euler-Mascheroni constant. Similar approximations can be given for more general sums of harmonic progressions.
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