[Solution Library] Determine whether or not the series ∑_n=1^∞ a_n defined by the formulas converge, and which diverge? Give reasons for your


Question: Determine whether or not the series \(\sum_{n=1}^{\infty} a_{n}\) defined by the formulas converge, and which diverge? Give reasons for your answers.

\(a_{1}=a_{2}=7, \quad a_{n+1}=\frac{n}{(n-1)(n+1)} a_{n} \quad\) if \(n \geq 2\)

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