A sequence is defined recursively as follows: (a) Complete the following table: n 1234

Chapter 13, Problem 64

(choose chapter or problem)

A sequence is defined recursively as follows: (a) Complete the following table: n 1234 xn (b) On the basis of the results in the table, make a guess about the value of x5, then compute x5 to see if your guess is correct. (c) The sequence given at the start of this exercise is defined recursively. Make a conjecture about a simpler way to define this sequence, then use mathematical induction to prove that your conjecture is correct.

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