Comments on: ET. Your Holiday Shopping Guide http://mathfactor.uark.edu/2008/12/et-your-holiday-shopping-guide/ The Math Factor Podcast Site Sat, 07 Nov 2009 01:28:00 -0600 http://wordpress.org/?v=2.8.5 hourly 1 By: Alan http://mathfactor.uark.edu/2008/12/et-your-holiday-shopping-guide/comment-page-1/#comment-410 Alan Thu, 04 Dec 2008 20:39:26 +0000 http://mathfactor.uark.edu/?p=280#comment-410 Referring to today's puzzle, where n times the average of a set is added iteratively to the set:  n = 1 : 1 1 1 1 1 1 n = 2 : 1 2 3 4 5 6  n = 3 : 1 3 6 10 15 21 etc <spoiler>I've been fascinated with Pascal's triangle since childhood. Each sequence for n can be derived from the previous: the delta for the n+1'th sequence is the nth sequence. You can see each as diagonals in the Triangle. Here's an helpful image:  <a href="http://en.wikipedia.org/wiki/Image:Pascal%27s_Triangle_rows_0-16.svg" rel="nofollow">http://en.wikipedia.org/wiki/Image:Pascal%27s_Triangle_rows_0-16.svg</a> </spoiler> -Alan Referring to today’s puzzle, where n times the average of a set is added iteratively to the set: 
n = 1 : 1 1 1 1 1 1
n = 2 : 1 2 3 4 5 6 
n = 3 : 1 3 6 10 15 21
etc

Show Spoiler ▼

-Alan

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