My Math Forum  

Go Back   My Math Forum > High School Math Forum > Algebra

Algebra Pre-Algebra and Basic Algebra Math Forum


Reply
 
LinkBack Thread Tools Display Modes
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+...
a_ntimage is offline  
 
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 fifth-degree function is:[color=beige] .[/color]


Use the first six terms of the sequence and set up a system of equations:









soroban is offline  
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 -___-
a_ntimage is offline  
Reply

  My Math Forum > High School Math Forum > Algebra

Tags
differences, finite, method, series, summation



Search tags for this page
Click on a term to search for related topics.
Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Finite Volume Method Carolina Herschel Applied Math 0 September 7th, 2012 04:04 PM
mixed PD derivative approximated by finite differences silvia_petkova Applied Math 2 July 6th, 2012 02:06 AM
Summation of Finite Series using Standard Results britmath Applied Math 2 May 26th, 2012 10:06 AM
System of ODE's(Finite Differences Approach) MrPhil Applied Math 1 August 7th, 2011 07:53 AM
Method of differences problems mikeportnoy Algebra 4 February 12th, 2009 05:39 AM





Copyright © 2019 My Math Forum. All rights reserved.