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| Math Central | Quandaries & Queries |
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Question from vidhi, a student: find the value of n: (1-1/2) (2-2/3) (3-3/4)...(15-15/16) = n!/16 |
Hi Vidhi,
I would first write each factor on the left side with a common denominator,
\[1 - \frac12 = \frac12, 2 - \frac23 = \frac43, \cdot \cdot \cdot .\]
What are the numerators of these fractions? Simplify.
I hope this helps,
Penny
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