Select the first five terms of the sequence.(Assume that n begins with 1.) $a _ { n } = ( - 1 ) ^ { n } \left( \frac { n } { n + 11 } \right)$
A) $\frac { 1 } { 12 } , \frac { 2 } { 13 } , \frac { 3 } { 14 } , \frac { 4 } { 15 } , \frac { 5 } { 16 }$
B) $- \frac { 1 } { 12 } , - \frac { 2 } { 13 } , - \frac { 3 } { 14 } , - \frac { 4 } { 15 } , - \frac { 5 } { 16 }$
C) $- \frac { 1 } { 12 } , \frac { 2 } { 13 } , \frac { 3 } { 14 } , \frac { 4 } { 15 } , - \frac { 5 } { 16 }$
D) $- 12 , - \frac { 2 } { 13 } , - \frac { 3 } { 14 } , \frac { 4 } { 15 } , - \frac { 5 } { 16 }$
E) $- \frac { 1 } { 12 } , \frac { 2 } { 13 } , - \frac { 3 } { 14 } , \frac { 4 } { 15 } , - \frac { 5 } { 16 }$

Question

Select the first five terms of the sequence.(Assume that n begins with 1.)    $a _ { n } = ( - 1 ) ^ { n } \left( \frac { n } { n + 11 } \right)$  
A) $\frac { 1 } { 12 } , \frac { 2 } { 13 } , \frac { 3 } { 14 } , \frac { 4 } { 15 } , \frac { 5 } { 16 }$  
B) $- \frac { 1 } { 12 } , - \frac { 2 } { 13 } , - \frac { 3 } { 14 } , - \frac { 4 } { 15 } , - \frac { 5 } { 16 }$  
C) $- \frac { 1 } { 12 } , \frac { 2 } { 13 } , \frac { 3 } { 14 } , \frac { 4 } { 15 } , - \frac { 5 } { 16 }$  
D) $- 12 , - \frac { 2 } { 13 } , - \frac { 3 } { 14 } , \frac { 4 } { 15 } , - \frac { 5 } { 16 }$  
E) $- \frac { 1 } { 12 } , \frac { 2 } { 13 } , - \frac { 3 } { 14 } , \frac { 4 } { 15 } , - \frac { 5 } { 16 }$

Quizplus · Accepted Answer

The sequence alternates signs starting with negative for $n=1$, and the fraction is $n/(n+11)$, correctly matching the pattern in option E.

Select the First Five Terms of the Sequence an=(−1)n(nn+11)a _ { n } = ( - 1 ) ^ { n } \left( \frac { n } { n + 11 } \right)an​=(−1)n(n+11n​)

Select the First Five Terms of the Sequence $a _ { n } = ( - 1 ) ^ { n } \left( \frac { n } { n + 11 } \right)$