Determine Whether the Series Is Convergent or Divergent by Expressing $s _ { n }$

question 2

Multiple Choice

Determine whether the series is convergent or divergent by expressing $s _ { n }$ as a telescoping sum. If it is convergent, find its sum. $\sum _ { n = 1 } ^ { \infty } \frac { 10 } { n ^ { 2 } + 2 n }$ .

• A) \(\frac { 15 } { 2 }\)
• B) diverges
• C) \(2\)
• D) \(\frac { 1 } { 10 }\)
• E) \(\frac { 2 } { 15 }\)