Challenge: find other sequences that you can use to convert, using integer coefficients in the recurrence. For miles to kilometers, you have to get a better approximation than phi.
I wasn't able to for miles to kilometers, but for pounds to kilograms I got:
a_n = a_{n-1} + 4*a_{n-2} - 3*a_{n-3}
Converges (slowly!) to a ratio of 2.199, so you can then take the previous term of the sequence to convert from pounds to kilograms.
I wasn't able to for miles to kilometers, but for pounds to kilograms I got:
a_n = a_{n-1} + 4*a_{n-2} - 3*a_{n-3}
Converges (slowly!) to a ratio of 2.199, so you can then take the previous term of the sequence to convert from pounds to kilograms.