Question: Suppose that a 1 , a 2 , a 3 , , an are positive numbers satisfying the following conditions: i) a 1

Suppose that a1, a2, a3,· · ·, an are positive numbers satisfying the following conditions:


i) a1 ≥ a2 ≥ a3 ≥ · · ·;


ii) The series a2 + a4 + a8 + a16 + · · · diverges. Show that the seriesa1 + 1 2 + 3 +


diverges.

a1 + 1 2 + 3 +

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