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Arithmetic Sequenceshard
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Let a1,a2,dots,ana_1, a_2, \\dots, a_na1​,a2​,dots,an​ be an arithmetic sequence with common difference dneq0d \\neq 0dneq0. Find the value of the sum: sumi=1n−2frac1aiai+1ai+2\\sum_{i=1}^{n-2} \\frac{1}{a_i a_{i+1} a_{i+2}}sumi=1n−2​frac1ai​ai+1​ai+2​