Given-x-1-1-x-2-x-3-is-a-real-numbers-sequence-for-n-1-with-recurrence-relation-x-n-1-x-n-1-2x-n-x-is-expressed-as-the-largest-integer-of-x-25x

Question Number 157660 by naka3546 last updated on 26/Oct/21

G i v e n x_{1} = 1, x_{2}, x_{3}, \dots, i s a r e a l n u m b e r s s e q u e n c e f o r n ⩾ 1 w i t h

r e c u r r e n c e r e l a t i o n x_{n + 1} - x_{n} = \frac{1}{2 x_{n}} .

[x] i s e x p r e s s e d a s t h e l a r g e s t i n t e g e r o f x .

[25 x_{625}] = ?