True or false: if $\sum\limits_{n = 1}^\infty {a_n} $ converges then so does $\sum\limits_{n = 1}^\infty {{{\left( {a_n} \right)}^3}} $
If $\sum_{1}^{\infty}(a_n)^3$ diverges, does $\sum_{1}^{\infty}(a_n)$?