
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+ \frac{1}{1+2}= \frac{4}{3} $, $1+ \frac{1}{1+2}+ \frac{1}{1+2+3}= \frac{3}{2} $, $1+ \frac{1}{1+2}+ \frac{1}{1+2+3}+ \frac{1}{1+2+3+4}= \frac{8}{5} $, ... Then, induce and guess the formula for $1+ \frac{1}{1+2}+ \frac{1}{1+2+3}+ \frac{1}{1+2+3+4} +...+\frac{1}{1+2+3+...+n} =$\_\_\_\_\_\_\_\_\_.

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