Problem 6.

Algebra Level 4

11×2×3×4+12×3×4×5+13×4×5×6++150×51×52×53= ? \dfrac1{1\times2\times3\times4}+ \dfrac1{2\times3\times4\times5}+ \dfrac1{3\times4\times5\times6} + \ldots + \dfrac1{50\times51\times52\times53} = \ ?

Give your answer to 5 decimal places.

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