Summation - need to get the constant out

1. May 25, 2013

liiamra

Hello-

I have posted this question in Calculus before, but somebody pointed out that it is basic arithmetic and so I will post it here because of the error hoping I will get a fast reply:

I have a summation, and need to get the constant C out so that I can eleminate it at a later stage when dividing by a similar summation with the same C. Here it is:

$\sum^{N}_{t=1}$$\beta^{t}$$\frac{C(1-g)^{t}-1}{1-\alpha}$

Where α,β, and C are all constants and I am interested in getting C out.

Of course, the above problem can be equivalent to the problem of getting C out in the following equation:
$\sum^{N}_{t=1}$$\beta^{t}C-\beta^{t}$

with something like $C\sum^{N}_{t=1}$...... , that is just one Ʃ.

any ideas?
Thanks

2. May 25, 2013

tiny-tim

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