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fiNd a Closed Form for the Generating Function for the Sequence

question 76

Short Answer

find a closed form for the generating function for the sequence.
- (5050),(5049),(5048),,(501),(500),0,0,0,\left( \begin{array} { l } 50 \\50\end{array} \right) , \left( \begin{array} { c } 50 \\49\end{array} \right) , \left( \begin{array} { c } 50 \\48\end{array} \right) , \ldots , \left( \begin{array} { c } 50 \\1\end{array} \right) , \left( \begin{array} { c } 50 \\0\end{array} \right) , 0,0,0 , \ldots

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Definitions:

Breathing Difficulty

Challenges or discomfort in inhaling or exhaling air, which can be a symptom of various health conditions.

ATP

Adenosine triphosphate, a molecule that carries energy within cells, providing the necessary power for most cellular activities.

Proteins

Large, complex molecules essential for the structure, function, and regulation of the body's cells, tissues, and organs.

Carbohydrates

Organic compounds, found in foods and living tissues, including sugars, starch, and cellulose, which are an important energy source.

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