Show that the algorithm from Exercise 24 has worst-case

Chapter 10, Problem 25E

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Show that the algorithm from Exercise 24 has worst-case time complexity O (log n) in terms of the number of comparisons.Let {an} be a sequence of real numbers. The forward differences of this sequence arc defined recursively as follows: The first forward difference is ?an = an+1 ? an: the (k + 1)st forward difference ?k+1 an is obtained from ? k an by ?k + 1an = ?kan + 1 ? ?kan.

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