
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
Let \( a_n = 1 + \frac{1}{2} + \frac{1}{3} + \ldots + \frac{1}{n} \), \( b_n = a_1 + a_2 + \ldots + a_n \), and \( c_n = \frac{b_1}{2} + \frac{b_2}{2} + \ldots + \frac{b_n}{n+1} \). Find \( b_{1988} \) and \( c_{1988} \) in terms of \( a_{1989} \).

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