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November 6th, 2017, 11:56 AM  #1 
Newbie Joined: Nov 2017 From: Latvia Posts: 2 Thanks: 0  I need to understand and help for a proof
Find a closed formula for the sum f(n) = 1^4 + 2^4 + 3^4 + . . . + n^4

November 6th, 2017, 12:04 PM  #2 
Senior Member Joined: Aug 2012 Posts: 1,638 Thanks: 415  
November 7th, 2017, 01:06 AM  #3 
Global Moderator Joined: Dec 2006 Posts: 18,155 Thanks: 1422 
The formula is n(n + 1)(2n + 1)(3n² + 3n  1)/30, which can be proved by mathematical induction.


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