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