
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 sequence $\{a_{n}\}$ satisfies: $a_{1}=\frac{1}{4}$, $a_{2}=\frac{1}{5}$, and $a_{1}a_{2} + a_{2}a_{3} + \cdots + a_{n}a_{n+1} = n a_{1}a_{n+1}$ for any positive integer $n$. Then, find the value of $\frac{1}{a_{1}} + \frac{1}{a_{2}} + \cdots + \frac{1}{a_{97}}$.

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