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Arithmetic Sequenceshard
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Let a1,a2,dots,a20a_1, a_2, \\dots, a_{20}a1​,a2​,dots,a20​ be an arithmetic progression. If the sum of the reciprocal adjacent products is: sumi=119frac1aiai+1=frac1936\\sum_{i=1}^{19} \\frac{1}{a_i a_{i+1}} = \\frac{19}{36}sumi=119​frac1ai​ai+1​=frac1936 and the first term is a1=3a_1 = 3a1​=3, find the last term a20a_{20}a20​.