Using the formula for the sum of geometric series, show that the values of p(n) sum to 1(adsbygoogle = window.adsbygoogle || []).push({});

p(n)=[tex](1 - \alpha)^n \alpha[/tex]

My attempt:

[tex]

\alpha

\sum^\infty_{{\bf n=0}}

(1- \alpha)^n

[/tex]

I am not sure where to go from here. Any help to show this is true!

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# Geometric Series with probability

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