Question: A method for approximating p can be traced back to the Babylonians. The formula is given by the recursively defined sequence where k is an
A method for approximating √p can be traced back to the Babylonians. The formula is given by the recursively defined sequence

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.
√21
An-1 An-1 an ||
Step by Step Solution
3.42 Rating (168 Votes )
There are 3 Steps involved in it
21 We begin with an initial guess of a 5 21 4 54625 a a3 10 ... View full answer
Get step-by-step solutions from verified subject matter experts
