Can anyone give me any help on how to get started, or how to do this problem?
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Prove that if the terms of a sequence decrease monotonically (a_1)>= (a_2)>= ...
and converge to 0 then the series [sum](a_k) converges iff the associated
dyadic series (a_1)+2(a_2)+4(a_4)+8(a_8)+... =...