
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
An electronic computer can quickly calculate the sum

$$
\frac{2}{1 \cdot 3}+\frac{2}{3 \cdot 5}+\frac{2}{5 \cdot 7}+\ldots+\frac{2}{99 \cdot 101}
$$

However, you can compete with it here if you discover the secret and rewrite the terms in a different way. How can this be done?

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