$\text { Find the positive values of } p \text { for which the series } \sum _ { n = 1 } ^ { \infty } 3 n \left( 8 + n ^ { 2 } \right) ^ { p } \text { converges. }$
A) The series converges for $p 4$.
B) The series converges for $p \geq 11$.
C) The series diverges for all positive values of $p$.
D) The series converges for $p 1$.
E) The series converges for $p \geq 8$.

Question

$\text { Find the positive values of } p \text { for which the series } \sum _ { n = 1 } ^ { \infty } 3 n \left( 8 + n ^ { 2 } \right) ^ { p } \text { converges. }$ 
A) The series converges for $p > 4$.
B) The series converges for $p \geq 11$.
C) The series diverges for all positive values of $p$.
D) The series converges for $p > 1$.
E) The series converges for $p \geq 8$.

Quizplus · Accepted Answer

The Answer of $\text { Find the positive values of } p \text { for which the series } \sum _ { n = 1 } ^ { \infty } 3 n \left( 8 + n ^ { 2 } \right) ^ { p } \text { converges. }$ 
A) The series converges for $p > 4$.
B) The series converges for $p \geq 11$.
C) The series diverges for all positive values of $p$.
D) The series converges for $p > 1$.
E) The series converges for $p \geq 8$.

A) the Series Converges For p>4p > 4p>4 B) the Series Converges For of }

A) the Series Converges For $p > 4$
B) the Series Converges For of }