Problem #PRU-61299

Problems Calculus Number sequences Limit of a sequence, convergence Algebra and arithmetic Sequences Recurrent relations Recurrent relations (other)
 15–16  4.0

Problem

The iterative formula of Heron. Prove that the sequence of numbers {xn} given by the conditions x1=1, xn+1=12(xn+k/xn), converges. Find the limit of this sequence.