Interesting Sequence

Algebra Level 3

Consider the sequence \(\left\{a_{n}\right\}\) where \(a_{1}=0\) and \(a_{n+1}=a_{n}+1+2\sqrt{1+a_{n}}\) for natural numbers \(n\).

Find the value of \(a_{2009}\).

×

Problem Loading...

Note Loading...

Set Loading...