Chapter 2 -- Page 82 -- Problem 2.9

This problem may use a notation that is hard to follow. Basically what this approximation method does is use a previous "guess" to compute a "new guess" for the square root of a number called n. The previous is the kth and the next is the k+1st. We assume that the first guess (called the zeroith) is 1.

So, to compute the "next guess", we take 1/2 times the sum of the "previous guess" and n divided by the "previous guess". That new guess becomes the old guess on the next try. The number of tries is referred to as the number of terms.