My Math Forum Sigma Simplification

 Calculus Calculus Math Forum

 November 18th, 2009, 07:15 PM #1 Senior Member   Joined: Feb 2008 Posts: 100 Thanks: 0 Sigma Simplification
 November 19th, 2009, 04:47 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,826 Thanks: 2160 What concept? Why would you try to apply a concept based on the first example (especially one that you merely "kind of understand") to the second instead of the other way round?
 November 19th, 2009, 03:44 PM #3 Global Moderator   Joined: May 2007 Posts: 6,786 Thanks: 708 Re: Sigma Simplification The manipulation of example 2 has an error. When you went from i+1 to i inside the summation, you needed to change the lower limit from 1 to 2.
 November 20th, 2009, 10:45 AM #4 Senior Member   Joined: Feb 2008 Posts: 100 Thanks: 0 Re: Sigma Simplification But why didn't I need to change the lower limit in example 1 from 1 to 0?
November 20th, 2009, 10:49 AM   #5
Senior Member

Joined: Feb 2008

Posts: 100
Thanks: 0

Re:

Quote:
 Originally Posted by skipjack What concept? Why would you try to apply a concept based on the first example (especially one that you merely "kind of understand") to the second instead of the other way round?
Well in example 2 I need to bring the lower limit to 1 right? Which then gave me 5(i+1) for the summation. Now in example 1 I cleared the parenthesis by manipulating the upper limit so I tried that same concept in example 2 to clear the parenthesis.

November 20th, 2009, 01:27 PM   #6
Global Moderator

Joined: May 2007

Posts: 6,786
Thanks: 708

Re: Sigma Simplification

Quote:
 Originally Posted by David_Lete But why didn't I need to change the lower limit in example 1 from 1 to 0?
Strictly speaking you should (in general). However in this case the i=0 term =0, so it didn't matter that it was left out.

 November 21st, 2009, 01:52 PM #7 Senior Member   Joined: Jun 2009 Posts: 150 Thanks: 0 Re: Sigma Simplification In your first example, the last sum actually begins i=0, not 1. But of course for the term i^2 it didn't matter that you leave that term out.

 Tags sigma, simplification

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post Jakarta Algebra 3 August 4th, 2012 10:45 AM luketapis Calculus 2 March 27th, 2012 11:30 AM wulfgarpro Algebra 13 May 16th, 2010 06:59 AM wulfgarpro Algebra 7 April 18th, 2010 03:16 AM arron1990 Calculus 1 December 31st, 1969 04:00 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top