
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
The table below shows a "triangular number array":

$\dfrac{1}{4}$

$\dfrac{1}{2}, \dfrac{1}{4}$

$\dfrac{3}{4}, \dfrac{3}{8}, \dfrac{3}{16}$

$1, \dfrac{1}{2}, \dfrac{1}{4}, \dfrac{1}{8}$

$(.....)$

According to the distribution pattern of the numbers in the table, it can be guessed that the 6th number in the 10th row is __________.

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