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Sum simplifying

  • To: mathgroup at smc.vnet.net
  • Subject: [mg89200] Sum simplifying
  • From: Lari <lari.jarvenpaa at luukku.com>
  • Date: Thu, 29 May 2008 07:03:31 -0400 (EDT)

Hey,

I'd like to simplify a following type of sum:

In[62]:= Sum[a[k]*I + b[k], {k, 1, n}] - I*Sum[a[k], {k, 1, n}] - 
 Sum[b[k], {k, 1, n}]

In[63]:= FullSimplify[%]

The result should obviously be zero; however, Mathematica returns the same expression. If I put n an integer value it knows how to simplify. How do I make it understand that also with a symbolic upper limit?

Hope someone can help!

Thanks,
Lari


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