Series: Definitions and Properties problem

Slimsta
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Homework Statement


[PLAIN]http://img528.imageshack.us/img528/7061/37557155.jpg

Homework Equations


The Attempt at a Solution


i don't understand, what can possibly wrong with this :S
I checked it so many times over and over but everything seems to be right..
i don't even have this feeling about any of those that one is might be something else.. I am 99.9% sure about everything
 
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This: \{ a_n \}_{n=1}^m is not a series (i.e. not a sum); this is a list of elements (i.e. a sequence).
 
oh i see.. little word messed up my whole answer :/
thanks man!
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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