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

Question 2

Multiple Choice

Determine whether the series is convergent or divergent by expressing sns _ { n } as a telescoping sum. If it is convergent, find its sum. n=110n2+2n\sum _ { n = 1 } ^ { \infty } \frac { 10 } { n ^ { 2 } + 2 n } .


A) 152\frac { 15 } { 2 }
B) diverges
C) 22
D) 110\frac { 1 } { 10 }
E) 215\frac { 2 } { 15 }

Correct Answer:

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