
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The general term formula of the arithmetic sequence $\left\{ a_n \right\}$ is $a_n=2n-8$. Among the following four propositions. $\alpha_1$: The sequence $\left\{ a_n \right\}$ is an increasing sequence; $\alpha_2$: The sequence $\left\{ na_n \right\}$ is an increasing sequence; $\alpha_3$: The sequence $\left\{ \frac{a_n}{n} \right\}$ is an increasing sequence; $\alpha_4$: The sequence $\left\{ a_n^2 \right\}$ is an increasing sequence. Among these, the true propositions are.

Present the answer in LaTex format: \boxed{Your answer}
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