If |a_k|<1, _k 0 for k=1,2, ,n and _1+ _2+ + _n=1, then the value of | _1a_1+ _2a_2+ + _na_n| is

JEE Main Mathematics question

If , for and , then the value of is

Answer: (D)

By the triangle inequality, . Since

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Question ID VK-013658