- #1

emilya

- 1

- 0

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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)+... = [sum](2^k)*(a_2^k) converges.

I call this the block test b/c it groups the terms of the series in blocks

of length 2^(k-1).

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thank you!