median
don steward
mathematics teaching 10 ~ 16

Friday, 21 February 2014

N rem R

choose two digits (e.g. 2 and 5)
  • divide the sum of their squares by their sum ((4 + 25) divided by 7)
  • write this as a number and a remainder: (29 / 7 = 4 rem 1)
try a few of these

something special happens for two consecutive numbers; what is it?

a proof of this property can involve expanding (simple quadratic) then factorising.

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