
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 harmonic table is a triangular array: $1$  $\frac 12 \qquad \frac 12$  $\frac 13 \qquad \frac 16 \qquad \frac 13$  $\frac 14 \qquad \frac 1{12} \qquad \frac 1{12} \qquad \frac 14$ Where  $a_{n,1} = \frac 1n$  and  $a_{n,k+1} = a_{n-1,k} - a_{n,k}$  for  $1 \leq k \leq n-1.$  Find the harmonic mean of the  $1985^{th}$  row.

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