siriusmart@lemmy.worldM to

Daily Maths Challenges@lemmy.world · 7 months ago

[2024/05/02] Reciprocals of Fibonacci numbers

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[2024/05/02] Reciprocals of Fibonacci numbers

siriusmart@lemmy.worldM to

Daily Maths Challenges@lemmy.world · 7 months ago

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Prove that the sum of the reciprocals of the Fibonacci numbers up to infinity converges to a finite value.

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7 months ago
solution: https://gmtex.siri.sh/fs/1/School/Extra/Maths/Qotd solutions/2024-05-02_fibonacci-reciprocals.html

spoiler

note: I don’t think it is really “rigorous” proof, but that’s the best I could come up with, so yeah

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