Use Theorem 9.11 to determine the convergence or divergence of the p-series.

Question

1+ 1/6root2 + 1/6root3 + 1/6root4 +...

p=

Answer 1

not sure what the theorem is, but we do know that

∑ 1/n^p

diverges for p <= 1
Your sequence is basically ∑ 1/n^(1/2)