
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: $1+ \dfrac {1}{2^{2}} < \dfrac {3}{2}$, $1+ \dfrac {1}{2^{2}}+ \dfrac {1}{3^{2}} < \dfrac {5}{3}$, $1+ \dfrac {1}{2^{2}}+ \dfrac {1}{3^{2}}+ \dfrac {1}{4^{2}} < \dfrac {7}{4}$, $(\ldots)$, based on the above expressions, it can be conjectured that: $1+ \dfrac {1}{2^{2}}+ \dfrac {1}{3^{2}}+\ldots+ \dfrac {1}{2013^{2}} < $ \_\_\_\_\_\_ .

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