
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
Determine the harmonic mean of the numbers $100$ and $4900$. This result is to be used in a secondary problem where this harmonic mean is then added to the arithmetic mean of the same numbers. What is the total sum of the harmonic mean plus the arithmetic mean?
A) 2500
B) 2696
C) 4900
D) 980000

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