\(5 a_n a_{n+1}=a_n - a_{n+1}\)

Calculus Level 2

The sequence \(\{a_n\}\) satisfies \(a_1 = 1 \) and \[5 a_n a_{n+1}=a_n - a_{n+1} \text{ for } n \geq 1.\] What is the value of \(a_{11}?\)

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