
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 \\(\{a_n\}\) be a geometric sequence, and let the sum of the first \\(n\\) terms be \\(S_n\\). Given that \\(S_3=8\\) and \\(S_6=7\\), find the value of \\(a_7+a_8+a_9\\).

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