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

question 99

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. $\sum _ { n = 1 } ^ { \infty } \frac { 14 } { n ^ { 2 } + 2 n }$ .

• A) \(\frac { 1 } { 14 }\)
• B) \(\frac { 21 } { 2 }\)
• C) \(\frac { 2 } { 21 }\)
• D) \(2\)
• E) diverges

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