(Solved) A series ∑ a_n is defined by the equations a_1=1 a_n+1=(2+ cos n)/(√n) a_n Determine whether ∑ a_n converges or


Question: A series \(\sum a_{n}\) is defined by the equations

\[a_{1}=1 \quad a_{n+1}=\frac{2+\cos n}{\sqrt{n}} a_{n}\]

Determine whether \(\sum a_{n}\) converges or diverges.

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