1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

I Sum of harmonic progression

  1. Oct 25, 2016 #1
  2. jcsd
  3. Oct 25, 2016 #2

    jedishrfu

    Staff: Mentor

    Do you mean the phrase:

     
  4. Oct 25, 2016 #3
    Yes
     
  5. Oct 25, 2016 #4

    jedishrfu

    Staff: Mentor

  6. Oct 29, 2016 #5
    I think this video makes every thing clearer, thanks jedishrfu
     
  7. Oct 29, 2016 #6
    Still i don't have any clue/answer for why there is no formula for sum of HP for n terms, and i am not able to open your link
     
  8. Oct 29, 2016 #7
    Are you asking why there is not a smart formula for the exact sum with k from 0 to n ? The wiki page speaks mainly of integer sum and the clever video of divergence and infinite sum, which are another things.
     
  9. Oct 29, 2016 #8

    Svein

    User Avatar
    Science Advisor

    As n grows large, you have [itex]\sum_{k=1}^{n}\frac{1}{k}\approx \ln(n)+\gamma [/itex].
     
  10. Oct 29, 2016 #9
    there is a nice but not very useful formula :
    [itex]\sum_{k=1}^{n}{\frac{1}{{a}+{b k}}}=\frac{{\psi^{(0)}({{\frac{a}{b}}+{n}}+{1})}-{\psi^{(0)}({\frac{a}{b}}+{1})}}{b}[/itex] where [itex]\psi^{(n)}(u)[/itex] is the polygamma function
     
  11. Oct 30, 2016 #10
    Yes
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Sum of harmonic progression
  1. A Progression (Replies: 1)

  2. Arithmetic progression (Replies: 2)

Loading...