Consider the sequence (xn)-1 of numbers given inductively by x = 8 and 34 3xn+1 if...

 

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Consider the sequence (xn)-1 of numbers given inductively by x = 8 and 34 3xn+1 if xn is even if xn is odd Xn+1 = for n E N. Prove that (xn)1 diverges. Hint: Compute the first couple terms of the sequence and see if you notice a pattern. Consider the sequence (xn)-1 of numbers given inductively by x = 8 and 34 3xn+1 if xn is even if xn is odd Xn+1 = for n E N. Prove that (xn)1 diverges. Hint: Compute the first couple terms of the sequence and see if you notice a pattern.

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To prove that the sequence xn given by x 8 and xn 3xn 1 if xn is odd and xn xn2 if xn is even diverg... View the full answer