
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 sequence $\{a\_n\}$ is an arithmetic sequence with the first term $2$, and sequence $\{b\_n\}$ is a geometric sequence with a common ratio of $2$, and they satisfy $a\_2+b\_3=7$, $a\_4+b\_5=21$.

1. Find the general term of sequences $\{a\_n\}$ and $\{b\_n\}$;
2. Let $c\_n= \frac {a\_n}{b\_n}$, find the sum of the first $n$ terms of sequence $\{c\_n\}$, denoted as $S\_n$.

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