
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
Consider an arithmetic sequence $\{b_n\}$ with the following conditions:
$$
b_{51}+b_{52}+ \cdots +b_{150}=300 \quad \text{and} \quad
b_{151}+b_{152}+ \cdots + b_{250}=500.
$$
Find the value of $b_2 - b_1$?

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