Write an Expression for the N Th Term of the Sequence

question 9

Multiple Choice

Write an expression for the n th term of the sequence $\frac { 8 } { 9 } , \frac { 9 } { 10 } , \frac { 10 } { 11 } , \frac { 11 } { 12 } , \frac { 12 } { 13 } ,....$ Assume that n begins with 1.

• A) \(a _ { n } = \frac { n + 7 } { n + 8 }\)
• B) \(a _ { n } = \frac { n + 8 } { n + 9 }\)
• C) \(a _ { n } = \frac { ( n + 8 ) ! } { ( n + 9 ) ! }\)
• D) \(a _ { n } = \frac { n + 9 } { n + 10 }\)
• E) \(a _ { n } = \frac { ( n + 7 ) ! } { ( n + 8 ) ! }\)

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