
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 5 terms of the arithmetic sequence {a<sub>n</sub>} is 50, a<sub>7</sub> = 22, and the sum of the first n terms of the sequence {b<sub>n</sub>} is S<sub>n</sub>, b<sub>1</sub> = 1, b<sub>n+1</sub> = 3S<sub>n</sub> + 1.
(I) Find the general term formulas for the sequences {a<sub>n</sub>} and {b<sub>n</sub>}.
(II) If the sequence {c<sub>n</sub>} satisfies $\frac {c_{1}}{b_{1}}+ \frac {c_{2}}{b_{2}}+…+ \frac {c_{n}}{b_{n}}=a_{n+1}$, n∈N*, find the value of c<sub>1</sub>+c<sub>2</sub>+…+c<sub>2017</sub>.

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