# The series \$sum_{p=1}^{infty} p^{-frac{7}{6}}\$ lies in which of the following intervals?

The series $$sum_{p=1}^{infty} p^{-frac{7}{6}}$$ lies in which of the following intervals?

(a)(1,2)

(b)(6,7)

(c)(3,4)

(d)(5,6)

I only know that the series converges by $$p$$-test since $$frac{7}{6} >1$$. I don’t know how to work further on it. Can please someone explain?