
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 the sequence $B = (b_1, b_2, \dots, b_{50})$ where each term $b_i$ is given by $b_i = a_i + 2$, and $a_i$ are the terms from the original sequence $(a_1, a_2, \dots, a_{50})$. If the Cesaro sum of the sequence $(a_1, a_2, \dots, a_{50})$ is 500, what is the Cesaro sum of the sequence $B$?

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