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We will find the sum of the first \( n \) natural numbers: \[ S_n = 1 + 2 + 3 + \dots + n \] using generating functions. ### Step 1: Define the Generating Function The ordinary generating function (OGF) for the sequence \( S_n \) is: \[ G(x) ____ _______ ___ _______ _________ ___ __________.
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