Basically, here's what you do:

There is 1 way for you to get to box 1 (since you start there).

There is 1 way for you to get to box 2 (since you start at 1).

There are 2 ways for you to get to box 3 (one way from 1 and another way from 2).

There are 3 ways for you to get to box 4 (one way from 2 and two ways from 3).

There are 5 ways for you to get to box 5 (two ways from 3 and three ways from 4)

There are 8 ways for you to get to box 6 (three ways from 4 and five ways from 5)

And lastly, there are 13 ways (the answer!!) for you to get to box 7 (five ways from 5 and eight ways from 6)

Reminder that you can't go to a square with a smaller number, which is why box 2 only had 1 possibility, etc.

Hope this helped.

Happy learning,

(Unofficial) The Daily Challenge Team

So, to get to 2, we have 1 option, 3 we have 2, 4 we have 3 as by path-counting, 5 we have 2+3=5, and 6 we have 5+3=8. Therefore, our answer is 5+8=13.

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