
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 \\(f(n)=1+ \frac {1}{2}+ \frac {1}{3}+…+ \frac {1}{n} (n\in\mathbb{N}^{*})\\), calculate \\(f(2)= \frac {3}{2}\\), \\(f(4) > 2\\), \\(f(8) > \frac {5}{2}\\), \\(f(16) > 3\\), \\(f(32) > \frac {7}{2}\\). Conjecture the relationship when \\(n\geqslant 2\\).

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