
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 arithmetic sequence $\{b_{n}\}$ with the first term $-34$ and common difference $1$, and the sequence $\{a_{n}\}$ satisfying $a_{n+1}-a_{n}=2^{n}(n∈N^{*})$ with $a_{1}=b_{37}$, find the maximum value of the sequence $\{ \frac {b_{n}}{a_{n}}\}$.

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