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If 1/2 x 3 x 4 + 1/3 x 4 x 5 + 1/4 x 5 x 6 +...+ 1/100 x 101 x 102 = k/101 , then 34 k is equal to _____.

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If 1/2 x 3 x 4 + 1/3 x 4 x 5 + 1/4 x 5 x 6 +...+ 1/100 x 101 x 102 = k/101 , then 34 k is equal to _____.

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Correct answer is 286

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