
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 a sequence where each integer $n$ from 1 to 250 appears $n$ times like this: \[ 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, \ldots, 250, 250, \ldots, 250 \], determine the median of this sequence.
A) 175
B) 176
C) 177
D) 178
E) 179

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