Two people want to play hopscotch. Draw all the hopscotch grids they could make with 4,5 squares. A specific number of squares can yield a total of 34 grids. Find this number.
Now I know the answer for this question, but I have got a problem: I don't know how to prove it other than drawing all the 34 grids!
I got the first part of the question easily because there were only 5 and 8 grids each. But to find the answer for the second part, it took me some time: 8 squares. The list of numbers of grids for the number of squares was this: 5,8,13,21,34. I can't find any kind of relationship between these numbers. Does anyone have an idea how to prove it?
Now I know the answer for this question, but I have got a problem: I don't know how to prove it other than drawing all the 34 grids!
I got the first part of the question easily because there were only 5 and 8 grids each. But to find the answer for the second part, it took me some time: 8 squares. The list of numbers of grids for the number of squares was this: 5,8,13,21,34. I can't find any kind of relationship between these numbers. Does anyone have an idea how to prove it?
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