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November 5th, 2011, 08:05 AM  #1 
Newbie Joined: Nov 2011 Posts: 2 Thanks: 0  summation of finite series (method of least differences)
im having trouble with computing summation of finite series for series higher than a polynomial of the second order. the problem is even though i can get the equation finding the summation using the sigma n,n^2,n^3 formula is very cumbersome. besides the book seems to use some other method. tl,dr solve this please 1+2+29+130+377+866+1717+... 
November 5th, 2011, 10:08 AM  #2  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Re: summation of finite series (method of least differences) Hello, a_ntimage! Quote: We have the sequence:[color=beige] .[/color] Take the differences of consecutive terms, [color=beige]. . [/color]then take differences of the differences, and so on. The fifth differences are constant. [color=beige]. . [/color]Hence, the generating function is of the fifth degree. The general fifthdegree function is:[color=beige] .[/color] Use the first six terms of the sequence and set up a system of equations:  
November 5th, 2011, 08:44 PM  #3 
Newbie Joined: Nov 2011 Posts: 2 Thanks: 0  Re: summation of finite series (method of least differences)
ah thanks... but i figured out that bit.... the problem is how to sum this series with only my 3 formula i.e. sigma n,n^2,n^3? also my constants were wrong huh ___


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