
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 expressions: $1+\frac{1}{{{2}^{2}}} < \frac{3}{2},1+\frac{1}{{{2}^{2}}}+\frac{1}{{{3}^{2}}} < \frac{5}{3},1+\frac{1}{{{2}^{2}}}+\frac{1}{{{3}^{2}}}+\frac{1}{{{4}^{2}}} < \frac{7}{4}...$ What pattern can be inferred?

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