
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
Let $n$ be a positive integer, and define $$f(n) = \frac {1}{2} + \frac {1}{3} + \ldots + \frac {1}{n}.$$ It is calculated that $$f(2) = \frac {3}{2}, f(4) > \frac {3}{2}, f(8) > \frac {5}{2},$$ and $$f(16), f(32) > \frac {7}{2}.$$ Based on the results, deduce a general conclusion for any integer $n$.

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