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JuanPerez
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If [\ sum n a^2_n < \infty \] is it true that [\ sum n a_n < \infty \]??
 one year ago
 one year ago
JuanPerez Group Title
If [\ sum n a^2_n < \infty \] is it true that [\ sum n a_n < \infty \]??
 one year ago
 one year ago

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JuanPerez Group TitleBest ResponseYou've already chosen the best response.0
If \[\sum n a^2_n <\infty \]is it true that \[ \sum a_n < \infty \] ????
 one year ago

pasta Group TitleBest ResponseYou've already chosen the best response.0
i think yes . and i do not require the "if" to see it.The results will always be <infinity
 one year ago

2le Group TitleBest ResponseYou've already chosen the best response.0
\[\sum_{n}^{k}na_n^2=\sum_{n}^{k}n*\sum_{n}^{k}a_n*\sum_{n}^{k}a_n<\infty\] Since the larger of the 3 summations is less than infinity, that would also make the individual summation less than infinity as well.
 one year ago
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