I have a Two sequence A and B which are in a serious relationship which is as:
where $x = \sqrt{2}$ and $y = \sqrt{3}$
I have to find :
$a_k+b_k$ in general I came with this formula($a_n$ and $b_n$ are known.):
$a_k+b_k = (a_n+yb_n)\times({2}^{4k-2.5})$ where $k>n$
Is the above expression given by me is correct or not