Sum of Squares of Fibonacci Numbers

Posted on August 13, 2020 by Sumant Sumant

This was an interesting way to introduce Fibonacci number by letting students build  rectangles with blocks of squares and in the process discovering that those blocks need to be Fibonacci numbers. What I really liked about this video is the visual proof of the squares of Fibonacci identity 1^2+1^2+2^2+3^2+5^2+8^2+{13}^2+\cdots +{F_n}^2= F_n*F_{n+1}

fibonacci-square-identity

During the video Steven introduces this video

 

 

About Sumant Sumant

I love Math and I am always looking forward to collaborate with fellow learners. If you need help learning math then please do contact me.
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