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If { an} is an arithmetic sequence, a= 1, and a100 = 625, evaluate \({1}/(\sqrt{a_1}+\sqrt{a_2}) + 1/(\sqrt{a_3}+\sqrt{a_4}) + ... + 1/(\sqrt{a_{99}}+\sqrt{a_{100}})?\)

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The sum of the terms 1/(sqrt(a_1) + sqrt(a_2)) + ... is equal to 45.

 Apr 14, 2024

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