Let \(\left\{a_n\right\}_{n=1}^{\infty}\) be a sequence of real numbers.
Then, which of the following statements is/are always TRUE?
1
If \(\sum_{n=1}^{\infty} a_n\) converges absolutely, \(\sum_{n=1}^{\infty} a_n^2\) then converges absolutely
2
If \(\sum_{n=1}^{\infty} a_n\) converges absolutely, \(\sum_{n=1}^{\infty} a_n^3\) then converges absolutely
3
If \(\sum_{n=1}^{\infty} a_n\) converges, \(\sum_{n=1}^{\infty} a_n^2\) then converges
4
If \(\sum_{n=1}^{\infty} a_n\) converges, \(\sum_{n=1}^{\infty} a_n^3\) then converges