
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
Given that the sum of the first $n$ terms, $S_n$, of the positive arithmetic geometric sequence $\{a_n\}$ satisfies $S_2 + 4S_4 = S_6$, and $a_1 = 1$.

1. Find the common ratio $q$ of the sequence $\{a_n\}$.
2. Let $b_n = a_n - 15$, find the value of $T = |b_1| + |b_2| + ... + |b_{10}|$.

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