
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
Define "Equal Sum Sequence": In a sequence, if the sum of each term and its next term is always the same constant, then this sequence is called an Equal Sum Sequence, and this constant is called the public sum of this sequence. Given that the sequence $\{a\_n\}$ is an Equal Sum Sequence, with $a\_1=2$ and the public sum being $5$, what is the value of $a\_6$?

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