Question: The divide and average method, an old-time method for approximating the square root of any positive number a, can be formulated as Prove that this

The “divide and average” method, an old-time method for approximating the square root of any positive number a, can be formulated as

Xi+1 = xi + a/xi 2

Prove that this formula is based on the Newton-Raphson algorithm.

Xi+1 = xi + a/xi 2

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