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• Brady! Were﻿ are those other videos James says you had filmed about Fibonacci numbers (0:14)? I can't find them anywhere!

• Wait, everybody, I thought the proper spelling is "golden ratio".﻿ What am I missing?

• What's the﻿ relationship between pi and the golden ratio?

• It﻿ is because Brady hasn't edited yet.

• I liked it n I﻿ think he is a handsome devil eh wouldn't mind to have him tend my garden :)

• yeah, but this﻿ was posted a year ago

• he also said they arent edited and uploaded yet﻿ mate

• hi, where can we find the﻿ video for the grown sunflowers? Thanks.

• Pardon Alan Turing, Britain!﻿

• What a﻿ clever way to make James be your gardener, Brady

• No, only the last digit works in this case.

The pattern for the last digit goes:

0, 1, 1, 2, 3, 5, 8, 3, 1, 4, 5, 9, 4, 3, 7, 0, 7, 7, 4, ...

You add the last two numbers to get the next one, and if the answer is larger than 9, you only use the last digit, for instance after the 5 and 8 it's 3, though 5 + 8 = 13. I drew out this pattern and found it repeats after every 60 numbers. Thus to know the last digit of the n fibonacci number, you only need to know the remainder when divided by 60.﻿