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Generating Functions
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What is the generating function for the sequence (1, 2, 3, 4, \dots)?
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A
\(\frac{x}{(1-x)^2}\)
💡 Explanation:
The generating function for the sequence (1, 2, 3, 4, \dots) is (\frac{x}{(1-x)^2}) because the coefficient of (x^n) in this generating function is (n), which is the (n)-th term of the sequence.