Some Australian Maths Competition question

[crystal charm]

Terry has invented a new way to extend lists of numbers. To Terryfy a list such as [1, 8] he creates two lists [2, 9] and [3, 10], where each term is one more than the corresponding term in the previous list, and then joins the three lists together to give [1, 8, 2, 9, 3, 10]. If he starts with a list containing one number (0), and repeatedly Terryfies it he creates the list
[0, 1, 2, 1, 2, 3, 2, 3, 4, 1, 2, 3, 2, 3, 4, 3, 4, 5, 2, 3, 4, . . . . . .]
What is the 2012th number in this Terryfic list?

[noble vapor]

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[daring grotto]

This is actually pretty nice

Try to use the ternary system @crystal charm

Let me know if you need more help

[crystal charm]

ok

[crystal charm]

+close