
Real Analysis Real Analysis Math Forum 
 LinkBack  Thread Tools  Display Modes 
September 19th, 2007, 06:45 AM  #1 
Newbie Joined: Sep 2007 Posts: 17 Thanks: 0  help with the calculus of infinite sequence
I need to know stepbystep solution how to get the formula (on the right) from this sum of infinite sequence (on the right). can anyone help me? thank you all very much in advance. 
September 19th, 2007, 12:03 PM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms 
I don't think you mean infinite  the sum only runs to n. If it was infinite you'd be looking at zeta(4) which is a trivial zero by analytic continuation. You can solve this by induction. Show that it works for n = 1, and that if it holds for n it also holds for n+1. Do this by adding n(n+1)(2n+1)(3n^2+3n1)/30+(n+1)^4 and simplifying. 
September 19th, 2007, 11:44 PM  #3  
Newbie Joined: Sep 2007 Posts: 17 Thanks: 0 
thank you very much! yes, youre right this is not an infinite seqeunce, im sorry, but can you give me just one more advise how you came to this? Quote:
 
September 20th, 2007, 09:06 AM  #4  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Quote:
 

Tags 
calculus, infinite, sequence 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Relation between an infinite product and an infinite sum.  Agno  Number Theory  0  March 8th, 2014 05:25 AM 
Which Calculus:A First Course in Calculus VS Thomas Calculus  pingpong  Math Books  0  August 13th, 2013 04:25 PM 
Infinite set contains an infinite number of subsets  durky  Abstract Algebra  1  March 15th, 2012 12:28 PM 
What precalculus needed for this calculus class?  tdod  Calculus  3  December 14th, 2011 12:24 PM 
Lemma of Limit of infinite sequence  ihsanlibra85  Calculus  12  December 13th, 2010 07:28 PM 