0 votes 0 votes Use the formula found in Example $4$ for $f_{n},$ the $n^{\text{th}}$ Fibonacci number, to show that fn is the integer closest to $$\dfrac{1}{\sqrt{5}}\left(\dfrac{1 + \sqrt{5}}{2}\right)^{n}$$ Determine for which $n\: f_{n}$ is greater than $$\dfrac{1}{\sqrt{5}}\left(\dfrac{1 + \sqrt{5}}{2}\right)^{n}$$ and for which $n\: f_{n}$ is less than $$\dfrac{1}{\sqrt{5}}\left(\dfrac{1 + \sqrt{5}}{2}\right)^{n}.$$ Combinatory kenneth-rosen discrete-mathematics counting recurrence-relation descriptive + – admin asked May 6, 2020 edited May 6, 2020 by Lakshman Bhaiya admin 203 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.