
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 inequalities:
$$1+ \frac {1}{2^{2}} < \frac {3}{2}$$,
$$1+ \frac {1}{2^{2}}+ \frac {1}{3^{2}} < \frac {5}{3}$$,
$$1+ \frac {1}{2^{2}}+ \frac {1}{3^{2}}+ \frac {1}{4^{2}} < \frac {7}{4}$$
What is the fifth inequality in this pattern?

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