alternating sums
- To: mathgroup at christensen.cybernetics.net
 - Subject: [mg307] alternating sums
 - From: Jack Goldberg <Jack.Goldberg at math.lsa.umich.edu>
 - Date: Fri, 9 Dec 1994 12:21:07 -0500 (EST)
 
Here's an elementary question that has me partially stumped.  I often 
have occasion to convert  mylist = {a1,a2,a3,...} into an alternating sum,
a1-a2+a3-a4+... . I find it aesthetically unsatisfactory to generate a 
list of alternating plus and minus ones, multiply mylist with the 
alternating list and then Apply Plus to the product.  It works of course, 
but I have a feeling there is a much better way to do this.  
(This is clearly not of earthshaking importance!!.  I'm just curious.)
Jack Goldberg
Univ of Mich
Mathematics