A stairway has 100 steps. You can climb it by one step at a time, or by two steps. How many different ways to ascend this stairway exist?

(In reply to A new approach with no proof by TomM)

I did it differently, using combinations and summing them all up in a spreadsheet. Came up with the same answer. Who's Fibonacci and what is this magic sequence both you and the author of this discuss, pray tell?

Posted by Lawrence on 2003-08-27 14:28:31