ICAS | Math | Math Olympiad
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An interesting brain teaser
Question We have 100 lamps, numbered 1, 2, …, 100. Initially they are all off. 1) we press…
Prove this formula
Question 1*2+2*3+3*4+4*5+…+n*(n+1)=1/3*n*(n+1)*(n+2) Answer 1*2+2*3+3*4+4*5+…+n*(n+1)=? Let S = 1*2+2*3+3*4+4*5+…+n*(n+1) … ( 1) Use. 1 + 2 +…
Solution for IMO 2016 Problem 4
(Here’s a detailed possible solution with full explanations for IMO 2016’s Problem 4): *IMO = International Mathematical Olympiad
Polynomial Identities
Question Does anybody know where i can find the properties below? (a+b)^3 (a+b)^4 Answer (…
Similar Triangles and Ratio of their Areas
Find the Ratio of areas given two pairs of similar triangles as per the geometrical configuration in the…
Which is greater: 2^3,000,000 or 3^2,000,000 ???
Answer The Answer : 3^(2,000,000) Here’s a simple way. 3,000,000 = 3 x 1,000,000 2,000,000 = 2 x…


