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Old 03-26-2012, 07:38 AM   #54
TimovieMan
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When starting on the floor, it takes the frog 25 jumps to reach the top (like Mark said). On his 23rd jump, the frog reaches step 38.
Because of the +5/-2 iteration, every third step gives the same jumping sequence (each consecutive time requiring 2 jumps less to reach the top).
That means that starting at steps 3, 6 and 9 would each result in the frog arriving at step 38. No other sequences have him arriving at step 38, since there are only 39 steps in total.

If you don't count the ground floor (step 0, which the frog can hardly start "on top of"), then the frog could only have started from steps 3, 6 or 9.
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