- #1
daveyinaz
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Hey, I came across this recurrence relation and was wondering if there was a closed-form solution for it.
[tex] a_n = \sqrt{2 + a_{n-1}}, a_0 = \sqrt{3}[/tex]
Assuming [tex]n \in \mathbb{N}[/tex], of course.
I know that's it's possible to solve homogenous and inhomogenous recurrence relations using certain differential equation techniques, some of which I referenced in trying to figure this one out. I'm hoping that someone might have some insight into if this one even has a closed-form solution.
[tex] a_n = \sqrt{2 + a_{n-1}}, a_0 = \sqrt{3}[/tex]
Assuming [tex]n \in \mathbb{N}[/tex], of course.
I know that's it's possible to solve homogenous and inhomogenous recurrence relations using certain differential equation techniques, some of which I referenced in trying to figure this one out. I'm hoping that someone might have some insight into if this one even has a closed-form solution.
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