Geometric Distribution Moment Generating Function Proof

In this video I derive the Moment Generating Function of the Geometric Distribution. I make use of a simple substitution whilst using the formula for the infinite sum of a Geometric Series.

[@namanprasad2057]

nice thanks for explanation

[@adelajasamson7904]

Sweet

[@stevendovi]

X values ranges from 0 in geometric

[@BoerCommander]

@@stevendovi Hi Steve there is a formulation of the Geometric distribution where this is true but note that is the count of failures whilst this formulation is for the number of trials till the first success.