@siriusmartM to Daily Maths Challenges • 7 months ago[2024/05/02] Reciprocals of Fibonacci numbersimagemessage-square1arrow-up121arrow-down10file-text
arrow-up121arrow-down1image[2024/05/02] Reciprocals of Fibonacci numbers@siriusmartM to Daily Maths Challenges • 7 months agomessage-square1file-text
Prove that the sum of the reciprocals of the Fibonacci numbers up to infinity converges to a finite value.
minus-square@siriusmartOPMlink6•edit-27 months agosolution: 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
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