I came across this interesting algebra/ arithmetic problem the other day. … Do you think this will always work? Hint: We can use algebra to prove this cool sequence easily. Arithmetic [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) (ii) As (iii) Let P(n) be the statement “” for When . Thus, P(1) is [...]

Many students have asked me about Mathematical Induction, like whats the idea behind it. Especially since I always emphasize the importance of . So lets try to make some sense of this long and [...]