
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
Observing the chords connected between $n$ points on a circle, it is found that 2 points can connect 1 chord, 3 points can connect 3 chords, 4 points can connect 6 chords, 5 points can connect 10 chords, and 6 points can connect 15 chords. Please explore the pattern, and determine how many chords can be connected if there are 10 points on the circle.

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