### Solutions to Review 1

Question 1 (i) (ii) Using long division, we find that So the asymptotes are and Question 2 (i) This is a hyperbola with centre , asymptotes are , and vertices and . is a graph with asymptotes and [...]

Question 1 (i) (ii) Using long division, we find that So the asymptotes are and Question 2 (i) This is a hyperbola with centre , asymptotes are , and vertices and . is a graph with asymptotes and [...]

Thinking@TheCulture is a series of questions that we, as tutors feel that are useful in helping students think and improve their understanding. Thinking Math@TheCulture is curated by KS. More of [...]

Thinking@TheCulture is a series of questions that we, as tutors feel that are useful in helping students think and improve their understanding. Thinking Math@TheCulture is curated by KS. More of [...]

Here is a compilation of all the APGP, Sequence & Series articles KS has done. Students should read them when they are free to improve their mathematics skills. They will come in handy! 🙂 1. [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (a) Let P(n) be the statement When n=1, LHS RHS Since LHS = RHS, P(1) is [...]

This is an interesting and simple question. Putting the answer here will take the fun out of figuring this summation out. I will advice/ hint that you look at your standard series in MF15 [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Let P(n) be the preposition When , P(1) is true. Assume the P(k) is [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (a) (i) Let P(n) be the preposition, for When and Since , P(1) is true. [...]

This is a question from AJC/C2/MY/P1/10. Quite challenging. But once you get the hang of it, you should be capable of solving other variations. Using the formula for , prove the . (i) Hence show [...]

This is a modified summation question taken from HCI. I think it forces the students to think out of the box, and we all know how scary trigonometry and summation is together. Given , show that [...]

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