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Suppose that $a_{n} < a_{n+1}$ for all $n \in \mathbb{N}$.

Suppose further that $a_{n} < 100$ for all $n \in \mathbb{N}$.

Which of the following statements is true regarding the sequence?

Select ALL that apply.

$a_{n}$ is bounded

$a_{n}$ converges

$a_{n}$ is monotonically increasing