
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 an arithmetic sequence $\{a_n\}$ with a non-zero common difference such that $a_6 = 14$, and $a_1, a_3, a_7$ form the first three terms of a geometric sequence $\{b_n\}$.

(Ⅰ) Find the general term formulas for the sequences $\{a_n\}$ and $\{b_n\}$.
(Ⅱ) Let $c_n = a_n - b_n$, find the sum of the first $n$ terms of the sequence $\{c_n\}$.

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