
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
In the sequence $\{x_n\}$, $$\frac {2}{x_{n}}= \frac {1}{x_{n-1}}+ \frac {1}{x_{n+1}}$$ (for $n\geq2$), and $x_2= \frac {2}{3}$, $x_4= \frac {2}{5}$, then $x_{10}=$ \_\_\_\_\_\_.

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