Recent content by hiro

The numerators look like a Fibonacci type sequence (a Horadam Sequence?). The bottom is just 2^(n-2). You're correct about the limit, I mistyped. Unfortunately I can't figure out if this helps. Is the pattern more obvious if you split off the odd/even sequences? I can't seem to find a...

I have two questions involving subsequential limits. One I have started and understand what I need to do, the second I really don't know how to start. First question Let 0 ≤ a < b < +∞. Define the sequence a_{n} recursively by setting a_{1} = a, a_{2} = b, and a_{n+2}=(a_{n}+a_{n+1})/2...