
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
Arrange the sequence $$\{ \frac {1}{n^{2}+n}\}$$ in order such that the first parenthesis contains one number, the second parenthesis contains two numbers, the third parenthesis contains three numbers, and so on. For example, $$( \frac {1}{2}), ( \frac {1}{6}, \frac {1}{12}), ( \frac {1}{20}, \frac {1}{30}, \frac {1}{42}),$$ ... Then, the sum of the numbers in the sixth parenthesis is \_\_\_\_\_\_.

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