Determine the value of the infinite sum
\[\sum_{n = 17}^\infty \frac{\binom{n}{15}}{\binom{n}{17}}.\]
Question:
Determine the value of the infinite sum
\[\sum_{n = 17}^\infty \frac{\binom{n}{15}}{\binom{n}{17}}.\]
Answer:
Let's think step by step.

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Determine the value of the infinite sum
\[\sum_{n = 17}^\infty \frac{\binom{n}{15}}{\binom{n}{17}}.\]
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