Consider a sequence of non-negative numbers $\left\{x_{n}: n=1,2, \ldots\right\}$. Which of the following statements cannot be true?
- $\sum_{n=1}^{\infty} x_{n}=\infty$ but $x_{n}$ decreases to zero as $n$ increases.
- $\sum_{n=1}^{\infty} x_{n}<\infty$ and each $x_{n}>0$ for each $n$.
- $\sum_{n=1}^{\infty} x_{n}=\infty$ and $x_{n} \geq 0.01$ infinitely often.
- $\sum_{n=1}^{\infty} x_{n}=\infty$ and each $x_{n} \leq 1 / n^{2}$.
- $\sum_{n=1}^{\infty} x_{n}<\infty$ and each $x_{n}>x_{n+1}$.