A method for approximating 1p can be traced back to the

Chapter 12, Problem 99

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A method for approximating 1p can be traced back to the Babylonians. The formula is given by the recursively defined sequence a0 = k an = 1 2 aan-1 + p an-1 b where k is an initial guess as to the value of the square root. Use this recursive formula to approximate the following square roots by finding a5. Compare this result to the value provided by your calculator.

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