Given the Sequence $4 + \frac { 7 } { 8 } , 4 + \frac { 8 } { 9 } , 4 + \frac { 9 } { 10 } , 4 + \frac { 10 } { 11 } , 4 + \frac { 11 } { 12 } , \ldots$

Multiple Choice

Given the sequence $4 + \frac { 7 } { 8 } , 4 + \frac { 8 } { 9 } , 4 + \frac { 9 } { 10 } , 4 + \frac { 10 } { 11 } , 4 + \frac { 11 } { 12 } , \ldots$ , write an expression for the apparent $n$ th term assuming $n$ begins with 1 .

A) $\frac { 6 n + 34 } { n + 7 }$
B) $\frac { 5 n + 35 } { n + 7 }$
C) $\frac { 5 n + 34 } { n + 7 }$
D) $\frac { 5 n + 34 } { n + 8 }$
E) $\frac { 6 n + 35 } { n + 8 }$