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P1 -> 15 or 5 + 10

P2 -> 5 + 10 + 15

P3 -> 5 + 10 + 15 + 20 or 5 x (1 + 2 + 3 +4)

 

5 x (1 + 2 + 3 + 4 + …) = 140

1 + 2 + 3 + 4 + …. = 28

Not sure what is a good way to find the end numberĀ if the number is big,

but since 28 is not a big number, can just manually find that

1 + 2 + 3 + 4 + 5 + 6 + 7 = 28

Therefore, the height of steps built with 140 cubes is 7cm.

 

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