
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 the sequence $\dfrac{1}{2}, \dfrac{1}{3}+\dfrac{2}{3}, \dfrac{1}{4}+\dfrac{2}{4}+\dfrac{3}{4}, \dfrac{1}{5}+\dfrac{2}{5}+\dfrac{3}{5}+\dfrac{4}{5}, \cdots$, find the $100^{\text{th}}$ term.

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