Question of the Day #13

A student asked me this question recently. I think this is from AMC.

There are 42 points $P_1, P_2, P_3, \ldots , P_{42}$ placed on a straight line so that each distance from $P_i$ to $P_{i+1}$ is $\frac{1}{i}$ where $1 \le i \le 41$ . What is the sum of the distances between every pair of these points?
Note: EVERY PAIR.

Answer

About

KS Teng

KS has been teaching H2/H1 Mathematics and IB mathematics for the more than 10 years. Having taught students from all various Junior Colleges, KS adapts to students' abilities and help them better understand the topics. As someone who loves to teach mathematics and sees it as a truly useful tool in life, KS seeks to enable students to appreciate math. Therefore, his tuition mission is to motivate and cultivate students to be independent and confident thinkers.

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Question of the Day #13

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