Arithmetic Sequenceshard
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Let a1,a2,dots,a100a_1, a_2, \\dots, a_{100} be an arithmetic progression with first term a1=1a_1 = 1 and common difference d=2d = 2. Find the value of the sum: sumk=199frac1sqrtak+sqrtak+1\\sum_{k=1}^{99} \\frac{1}{\\sqrt{a_k} + \\sqrt{a_{k+1}}}