6. Knowing the time series comes from the logistic map x_{n+1} =
_{n}*(1 - x_{n})_{n+1}/x_{n}*(1 - x_{n})

Since the fourth entry of the time series is 0.500, we know the next entry is s/4.
(Recall for the logistic map if x_{n} = 1/2, then x_{n+1} = s/4.)
Consequently, s/4 = 0.98 and so s = 3.92.

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