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Evaluate:
12×3+23×4+34×5+…+4950×51+5051×52 \large{\frac{1}{2\times 3} +\frac{2}{3\times4}+\frac{3}{4\times5}+\ldots+\frac{49}{50\times 51}+\frac{50}{51\times52}} 2×31+3×42+4×53+…+50×5149+51×5250
Details:
Answer the expression above in 3 3 3 decimal places.
The fraction terms are in a consecutive order: 1,2,3,4,…,51,52 1, 2, 3, 4, \ldots, 51, 52 1,2,3,4,…,51,52
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