@Carl Love You are incredible man. I doubt I would have worked out these 2 problems with you. Plotting the partial sums for the 2nd problem was so simple after you showed me how to do it. Thank you for your help.

@Carl Love Wow Thanks, it works perfectly. I also have another problem that is the exact same as this one but it is a recursive function and I have absolutely no idea how to even approach it. 

The problem:

I attempted the problem with some help from stackexchange but I have no idea what I'm doing. I'd appreciate it if someone could help me on this problem. I don't really know where else to go to get help as this is just my second time using maple. 

This is my horrible attempt.