U-n-1-1-2-u-n-a-u-n-with-u-1-gt-0-a-gt-0-Prove-that-u-n-1-u-n-1-

Question Number 159403 by LEKOUMA last updated on 16/Nov/21

U_{n + 1} = \frac{1}{2} (u_{n} + \frac{a}{u_{n}}) w i t h u_{1} > 0, a > 0

P r o v e t h a t \frac{u_{n + 1}}{u_{n}} ⩽ 1

Commented by mathmax by abdo last updated on 18/Nov/21

i think \frac{u_{n + 1}}{u_{n}} ⩾ 1 \dots