
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
In the process of proving "$1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\ldots +\frac{1}{2n-1}-\frac{1}{2n}=\frac{1}{n+1}+\frac{1}{n+2}+\ldots +\frac{1}{2n}$ (where $n\in N^{*}$) using mathematical induction, when $n=k$ to $n=k+1$, the added terms on the left side are ____.

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