SEPTEMBER PUZZLER - Digital Agent Blog
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SEPTEMBER PUZZLER

SEPTEMBER PUZZLER

 

Digital Agent engineers solve complex puzzles for our customers every day. Can you solve the Puzzle we created for you?
A staircase has 8 steps. With each stride, you are allowed to take either 1 or 2 steps. How many different ways are there to climb the stairs? (For example, you can take 1, then 2, then 2, then 1, then 2, for a total of 8).

And the answer is….

This month’s winner Jerry Brooks gave the best explanation for the Puzzler answer.

Formula: Sn = Sn-1 + Sn-2

S1 = 1

S2 = 2

S3 = 3

S4 = 5

S5 = 8

S6 = 13

S7 = 21

S8 = 34 

The very first step leaves 2 choices. 1) Step up 1 step, 2) Step up 2 steps.  If you have Sn-1 of going up the n-1 steps and also Sn-2 ways of going up the n-2 steps, when combined with the right choice of first step, give you a way of going up the 8 steps.

 

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