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Find the number of positive integers \(n\) that satisfy \((n - 1)(n - 3)(n - 5) \dotsm (n - 97) < 0. \)
 

 Apr 13, 2020
 #1
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+1

The largest n that works is n = 96 and every fourth number preceding it.

4, 8, 12, 16, ..., 88, 92, 96

There are 24 numbers.

 Apr 13, 2020
 #2
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+1

thank you so much!

Guest Apr 14, 2020

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