I am stuck on a geometric series Q

Sonal7

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I am wondering about proving that Var(X) is equal to the sqaure of the E(X)

I shall put my workings up
 

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You titled this "I am stuck on a geomtric series question" but there is no geometric series here.
 
He probably means Geometric Distribution which is related to Geometric Series.
I realise that now, which is why i was stuck. its a neg binomial distribution. I got the formula for it, so its dead easy. its r(1-p)/p^2 for the Var and r/p for the mean. I got the answer.
 
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