Arithmetic Sequenceshard
0:00.0

Let a1,a2,dots,ana_1, a_2, \\dots, a_n be an arithmetic sequence with non-zero terms and a common difference dneq0d \\neq 0. Find the value of the sum: sumi=1n1frac1aiai+1\\sum_{i=1}^{n-1} \\frac{1}{a_i a_{i+1}}