Question: Show that if a random variable X defined on (1.2.3....) satisfies P(X = n+k X 2k+1) = P(X =n), n=1,2,3,... for every integer k 2

Show that if a random variable X defined on (1.2.3....) satisfies P(X = n+k X 2k+1) = P(X =n), n=1,2,3,... for every integer k 2 1, then X follows a geometric (p) distribution

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