Who is asking: Student Question: A sequence s is defined recursively as follows:
s_{0}=1
 Compute s2,s3,s4... to guess an explicit formula for the sequence sk. If you could help me with this problem, I would very much appreciate it!!! Thank you Hi,You're right about the sequence and you should notice also that the numbers are powers of 2 so your problem is to find an f(n) such that for your nth term s_{n} = 2^{f(n)}.
Look at n= 3 & 4; you need 2^{2} in both cases.
That is
3 & 4 correspond to 2; Doesn't the required exponent look about 1/2 of n? You might want to look at the integer part of (n+1)/2. Penny
