let-the-sequence-a-n-wich-verify-a-1-2-and-a-n-1-a-n-1-a-n-n-prove-that-a-n-n-n-1-is-convergente-

Question Number 57408 by Abdo msup. last updated on 03/Apr/19

l e t t h e s e q u e n c e (a_{n}) w i c h v e r i f y a_{1} = 2 a n d

a_{n + 1} = a_{n} + \sqrt{1 + \frac{a_{n}}{n}}

p r o v e t h a t {(\frac{a_{n}}{n})}_{n ⩾ 1} i s c o n v e r g e n t e .