To determine if the series n(n+1)/ n converges, we can use the limit comparison test.
Let's consider the series n(n+1)/n separately.
Taking the limit as n approaches infinity, we get:
lim n→∞ (n(n+1)/n) = lim n→∞ (n+1) = ∞.
Since the limit is not zero, the series n(n+1)/n diverges.
Therefore, the series n(n+1)/n does not converge.
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