Determine f(1789) | Australian Maths Olympiad 1989

Published: 01 April 2021
on channel: GG Maths
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87

Let f(n) be defined for positive integers n. It is known that:

ff(n) = 4n + 9 for all positive intergs n, and

f(2^k) = 2^(k+1) + 3 for all non-negative intgers k.

Determine f(1789).

Australian Mathematical Olympiad - 1989, Problem 7.

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