Recent content by blak97

Does it have something to do with the quadratic formula?

Homework Statement Explicitly compute the function g defined by: g(x) = \Sigman2x2n from n=1 to infinity I was thinking something along the lines of differentiating\Sigma x2n twice

Well what I have done so far is input n+1 and n into the given expression to give: fn+1 + fn = \frac{1}{\sqrt{5}} {[\frac{1+\sqrt{5}}{2}]n+1 - [\frac{1-\sqrt{5}}{2}]n+1 + [\frac{1+\sqrt{5}}{2}]n - [\frac{1-\sqrt{5}}{2}]n} I need to make this equal to (in order to prove by induction): fn+2...

What do you mean by what do I need?

Homework Statement Show that for all n greater than 1: fn = \frac{1}{\sqrt{5}}{(\frac{1+\sqrt{5}}{2})n - (\frac{1-\sqrt{5}}{2})n} Homework Equations f1 = f2= 1 fn+2 = fn+1 + fn The Attempt at a Solution I'm pretty sure it's by induction, but I'm not sure how to start.