Question

establishe the convergence or divergence of the series whose nth term is 2^-1/n​

Answer 1

Step-by-step explanation:

The series whose nth term is n(n+1)(n+2), I have to check the convergence or divergence of it.

So

an=n(n+1)(n+2)=2n+2−1n+1

Hence as n→∞, an→0 so the series is convergent.