Sums
- To: mathgroup at smc.vnet.net
- Subject: [mg27996] Sums
- From: Janusz Kawczak <jkawczak at math.uncc.edu>
- Date: Wed, 28 Mar 2001 02:40:24 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
Hello:
can anybody help? I am trying to evaluate the following:
Sum[n (1-r)^(IntegerPart[n/k]) Boole[ 0 < r < .5], {n, 1, Infinity}],
for some k >1, but fixed.
In the same fashion, many other sums are of interest:
Sum[n (n+1) (1-r)^(IntegerPart[n/k]) Boole[ 0 < r < .5], {n, 1,
Infinity}],
for some k >1, but fixed, and so on.
Also, the finite sums are of some interest to me as well, i.e.
Sum[n (1-r)^(IntegerPart[n/k]) Boole[ 0 < r < .5], {n, 1, N}],
for some k >1, but fixed.
The above sum can be easily evaluated without the IntegerPart in
the exponent. But, I cannot get it to work in general.
Any help with this matter will be greatly appreciated.
John.
P.S. Please cc to jkawczak at math.uncc.edu.
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