This question already has an answer here:
Prove that if $\sum |a_n|$ converges, then $\sum a_n^2$ also converges.
$\sum |a_n|$ converges $\implies \sum |a_n|<M$.
If $\sum |a_n|$ converges, then $\sum a_n $ also converges.
Could anyone please tell me on how to proceed ahead with regard to this problem.
Thank you very much for your help