So, we start another set. It's been a while since I did these. I think I'm going to do them in sequential order instead of the 1&41, 2&40 pattern. This will be easier for me to keep track of.
Note: the exponent on the second () changed to -3/2. Sorry about that.
Standard instructions for this series: No calculator allowed. Express answers in reduced form. Rationalize denominators. Radicals must be reduced. All numbers are base ten unless otherwise specified. Do not approximate radicals or π. Leave such answers as 1025π or √39, for example. Source: UVM Math Contest 2013
answer 01, answer 02.