Problem / game
First name
Michelle Chen and help from Laura Chan)
School
Shatin College
Country
Age
12
377 different ways
Method: Fibonacci's sequence
We started from 1 step and there was one way.
2 steps - 2 ways
3 steps - 3 ways
4 steps - 5 ways
Fibonacci's sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811,so ignoring the first two numbers (0 and 1) the sequence is 1,2,3,5,8....and it matches with the number of ways. Ignoring the first two numbers, the 13th number is 377.