Week #12

This is the last week before the class ends and it will be my last slog which is needed to hand in. What we learnt this week is about countability and computability and most interestingly, induction, which is another method used in proof. Since I've already learnt about induction at the beginning of MAT137 and we did a lots of practice at that time. It much easier for me and much clearer to me when I listened to it as the second time. In my opinion, induction is quite useful to solve questions with variable n, which is uncountable as long as this method is actually in your head. 

Although the term test result really frustrated me these days, there is a good news happens to me, which is I got a full mark on my second assignment, which surprised me a lot. I can't even imagine that I can get any full mark in university because courses in university seem much more difficult than high school. But I did it!  I suddenly feel like maybe I can do better than I used to do by changing my mind of these courses. And it actually encourages me to prepare well on final exam.
I see many amazing slogs on the course website especially slogs from http://www.reddit.com/r/journeythrough165/. I think keep writing slogs every week is a good habit because it can actually record your mental journey through this semester.

Here is a proof using induction :