
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 $\{a\_n\}$ is an increasing arithmetic sequence, $S\_n$ is the sum of the first $n$ terms of $\{a\_n\}$, and $S\_5=5$, $a\_3$, $a\_4$, $a\_7$ form a geometric sequence.
(I) Find the general term formula of the sequence $\{a\_n\}$;
(II) Find the value of $|a\_1|+|a\_2|+...+|a\_100|$;
(III) If the set $\{n|(-1)^{n} \frac {a\_n}{2^{n}} > λ,n∈N^{*}\}$ has exactly $2$ elements, find the range of $λ$.

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