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| Math Central | Quandaries & Queries |
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Question from Fiona, a student: Could you help me find the value of n: (1-1/2)(2-2/3)(3-3/4)...(15-15/16)=n!/16 |
Hi Fiona,
Write each of the factors on the left as one fraction, for example
\[1 - \frac12 = \frac12, 2 - \frac23 = \frac43 \mbox{ and so on.}\]
What do you notice about the numerators? Now simplify the left side.
Does this help? Write back if you need more assistance,
Penny
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