
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
Observe the following equation: $a_{1}=1+\frac{2}{1}$, $a_{2}=1+\frac{2}{2}$, $a_{3}=1+\frac{2}{3}$, $a_{4}=1+\frac{2}{4}$, $\ldots$ Calculate $a_{1}\cdot a_{2}\cdot a_{3}\cdot a_{4}\cdot \cdots \cdot a_{100}=\_\_\_\_\_\_$ according to this pattern.

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