  Centrale des maths - centraledesmaths.uregina.ca  Dilemmes & doutes    « D & D »    Sujet: harmonic numbers   nouvelle recherche

3 articles trouvés pour ce sujet.    Page1/1            Harmonic numbers 2003-03-19 Becky pose la question :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 - nPenny Nom lui répond.     Harmonic numbers 2003-03-12 Becky pose la question :What can you tell me about the limit of harmonic numbers as it reaches infinity?Penny Nom lui répond.     Harmonic numbers 2001-05-23 Leslie pose la question :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? Harley Weston lui répond.      Page1/1    Centrale des maths reçoit une aide financière de l’Université de Regina et de The Pacific Institute for the Mathematical Sciences.    Qui sommes-nous :: carte du site :: our english site