
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
Observing the following equations:

\\(\begin{matrix} & 1+\\dfrac{1}{{{2}^{2}}} < 1+\\dfrac{1}{2} \\\\ & 1+\\dfrac{1}{{{2}^{2}}}+\\dfrac{1}{{{3}^{2}}} < 1+\\dfrac{2}{3} \\\\ & 1+\\dfrac{1}{{{2}^{2}}}+\\dfrac{1}{{{3}^{2}}}+\\dfrac{1}{{{4}^{2}}} < 1+\\dfrac{3}{4} \\\\ \\end{matrix}\\)

Based on the above equations, we can hypothesize:

\\(1+\\dfrac{1}{{{2}^{2}}}+\\dfrac{1}{{{3}^{2}}}+\\cdots +\\dfrac{1}{{{n}^{2}}} < \\)\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\((n\\geqslant 2)\\)。

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