(AIME 1994) Find the positive integer n for which [log2 1] + [log2 2] + [log2 3] +…+ [log2 n] = 1994 where [x] denotes the greatest integer less than or equal to x (for example [Π] = 3) Solution: Observe that: [log2 1] = 0(20) [log2 2] + [log2 3] = 1(21) [log2 4] [...]
Archive for January, 2008
17 Jan
From Infinity to Divinity
There was a young fellow from Trinity Who took √∞ ….. But the number of digits…gave him the fidgets He dropped Math and took up Divinity… Hehe ∞ You can find this statement at the bottom of title page of the book One, Two, Three…Infinity by George Gamow.
Recent Comments