Find the Sum of the Convergent Series $$\sum _ { n = 1 } ^ { \infty } \frac { 9 } { ( n + 9 ) ( n + 11 ) }$$

question 81

Multiple Choice

Find the sum of the convergent series. $$\sum _ { n = 1 } ^ { \infty } \frac { 9 } { ( n + 9 ) ( n + 11 ) }$$

• A) \(\frac { 189 } { 220 }\)
• B) \(\frac { 135 } { 143 }\)
• C) \(\frac { 351 } { 220 }\)
• D) \(\frac { 61 } { 55 }\)
• E) \(\frac { 19 } { 20 }\)

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