Difference between revisions of "2021 WSMO Speed Round Problems/Problem 3"
(Created page with "==Problem== Let <math>a@b=\frac{a^2-b^2}{a+b}</math>. Find the value of <math>1@(2@(\dots(2020@2021)\dots)</math>. ==Solution== Note that <math>a^2-b^2=(a-b)(a+b).</math> Thi...") |
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Revision as of 10:07, 23 December 2021
Problem
Let . Find the value of .
Solution
Note that This means that Now, and Using this pattern, we find that