
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
In a sequence of positive integers, each term after the first is $\frac{1}{4}$ of the sum of the term that precedes it and the term that follows it in the sequence. What is the 7th term of this sequence if the 1st term is 3 and the 5th term is 18?

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