
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 a set of $n+1$ numbers where $n > 1$. In this set, one number is $1 - \frac{1}{n}$, another number is $1 + \frac{1}{n}$, and the remaining $n-1$ numbers are all $1$. Calculate the arithmetic mean of this set of numbers.
A) $1$
B) $\frac{n}{n+1}$
C) $1 - \frac{1}{n+1}$
D) $1 - \frac{1}{n^2}$

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