Let S(1), S(2), ...... S(101) be consecu...

Let `S_(1), S_(2), ...... S_(101)` be consecutive terms of A.P. If `1/(S_(1)S_(2)) + 1/(S_(2)S_(3)) + ...... + 1/(S_(100)S_(101)) = 1/6` and `S_(1) + S_(101) = 50`, then `|S_(1) - S_(101)|` is equal to

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