
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
Let S<sub>n</sub> represent the sum of the first n terms of the arithmetic sequence {a<sub>n</sub>}. If S<sub>5</sub> = 2S<sub>4</sub> and a<sub>2</sub> + a<sub>4</sub> = 8, find the value of a<sub>5</sub>.

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