
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 the sequence $\{a\_n\}$, where $a\_1=1$, the sum of the first $n$ terms is denoted by $S\_n$, and it satisfies the equation $2S\_n=(n+1)a\_n$, $(n∈N*)$.
(1) Find the general term formula for the sequence $\{a\_n\}$;
(2) Let $b\_n=3^{n}-λa\_n^{2}$, if the sequence $\{b\_n\}$ is increasing, find the range of values for $λ$.

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