One in eighteen ten times eight in nine times two in three?

1 by 2:1 + 2 by 3:1 + 3 by 4:1 +... + 10 by 11:1

Note: 1 / N (n + 1) = 1 / n-1 / (n + 1)
The original formula = 1-1 / 2 + 1 / 2-1 / 3 + 1 / 3-1 / 4 +.. + 1 / 10-1 / 11
=1-1/11
=10/11
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