# Math Help - Question on manipulating a series

1. ## Question on manipulating a series

Can somebody tell me if this is correct?

$\sum (a_nb_n) = \sum a_n \cdot \sum b_n$

Just wondering as this would make evaluating convergence/divergence easier in some cases, but I suspect that this isn't necessarily correct.

Thanks.

2. ## Re: Question on manipulating a series

Is 1*3 + 2*5 + 8* 4 equal to (1+2+8)∙(3*5*4) ?

3. ## Re: Question on manipulating a series

I was just testing you. Thanks!