Choose the one alternative that best completes the statement or answers the question.
The nth term of a sequence is given. Write the first four terms of the sequence.
-$$a _ { n } = ( - 1 ) ^ { n } \frac { n + 3 } { n + 4 }$$
A) $\frac { 7 } { 4 } , - \frac { 11 } { 4 } , \frac { 15 } { 4 } , - \frac { 19 } { 4 }$
B) $- \frac { 4 } { 5 } , \frac { 5 } { 6 } , - \frac { 6 } { 7 } , \frac { 7 } { 8 }$
C) $- \frac { 7 } { 4 } , \frac { 11 } { 4 } , - \frac { 15 } { 4 } , \frac { 19 } { 4 }$
D) $\frac { 4 } { 5 } , - \frac { 5 } { 6 } , \frac { 6 } { 7 } , - \frac { 7 } { 8 }$

Question

Quizplus · Accepted Answer

Substituting $n = 1, 2, 3, 4$ into the given formula $a_n = (-1)^n \frac{n + 3}{n + 4}$ yields the sequence $-\frac{4}{5}, \frac{5}{6}, -\frac{6}{7}, \frac{7}{8}$, which matches option B.

Choose the One Alternative That Best Completes the Statement or Answers