
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
A sequence defined by a hidden rule starts with the first term being $2$, and the sum of the first two terms is $7$. The sum of the first three terms is $18$. Identify the rule for computing any term in this sequence and find the sum of the first 6 terms.
A) $112$
B) $117$
C) $122$
D) $127$

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