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How to simplify a finite sum plus the next element?
*To*: mathgroup at smc.vnet.net
*Subject*: [mg121880] How to simplify a finite sum plus the next element?
*From*: Kirill Müller <kirillmueller at gmail.com>
*Date*: Thu, 6 Oct 2011 04:18:26 -0400 (EDT)
*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com
Hello,
with Mathematica 8, the following formula does not get simplified as
expected:
FullSimplify[Sum[x[i], {i, 1, n}] + x[n + 1]]
I expect Sum[x[i], {i, 1, n+1}] as output. Instead, the following is
output:
\!\(
\*UnderoverscriptBox[\(\[Sum]\), \(i = 1\), \(n\)]\(x[i]\)\) +
x[1 + n]
I have already tried various assumptions for FullSimplify -- no luck.
What am I doing wrong here?
Cheers
Kirill
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