   # What is the highest numbered square that is painted blue on a 1x100 square board?

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On a board measuring 1x100, each square is numbered from 1 to 100.
Three colors are used to paint the squares from left to right. The following pattern is repeated: one blue square, two red squares, three green squares, one blue, two red, three green and so on.
What is the highest numbered square that is painted blue? posted Aug 29

It forms an AP
a = 1
d = 5

now by guessing the value of n and finding the one closest to 100 is the answer

1st try = 1 +20*5 = 101 not the answer
2nd try = 1+19*5 = 96

so n-1 = 19
n =20 answer Aug 30

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