  Math Central - mathcentral.uregina.ca  Quandaries & Queries    Q & Q    Topic: harmonic numbers   start over

3 items are filed under this topic.    Page1/1            Harmonic numbers 2003-03-19 From Becky:Harmonic numbers are Hn = 1 + ? + 1/3 + . . . + 1/n Use induction to prove the following theorem: For all natural numbers n, H1 + H2 + . . . + Hn = (1+n)Hn - nAnswered by Penny Nom.     Harmonic numbers 2003-03-12 From Becky:What can you tell me about the limit of harmonic numbers as it reaches infinity?Answered by Penny Nom.     Harmonic numbers 2001-05-23 From Leslie:The harmonic numbers Hk, k = 1,2,3.....are defined by Hk = 1 + 1/2 + 1/3....1/k I am trying to prove by mathematical induction: H2n >= 1 + n/2 , whenever n is a nonnegative integer. H8 = H23 >= 1 + 3/2 Can you help? Answered by Harley Weston.      Page1/1    Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.    about math central :: site map :: links :: notre site français