Difference between revisions of "2021 JMPSC Invitationals Problems/Problem 4"
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Latest revision as of 21:08, 11 July 2021
Let and be sequences of real numbers such that , , and, for all positive integers ,
We notice that Since we are given that and , we can plug these values in to get that
Similarly, we conclude that
Adding and gives us Dividing both sides by yields
Add both equations to get , and subtract both equations to get , so now we bash: and . and . and . and ,
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