Find the first five terms of the sequence.
$\alpha _ { n } = \frac { ( - 2 ) ^ { n } } { n }$
A) $\alpha _ { 1 } = - 2$ , $a _ { 2 } =$ 2, $a _ { 3 } = -$ $\frac { 8 } { 3 }$ , $a _ { 4 } =$ 4, $a _ { 5 } = -$ $\frac { 32 } { 5 }$
B) $a _ { 1 } = -$ $\frac { 1 } { 2 }$ , $a _ { 2 } =$ $\frac { 1 } { 2 }$ , $a _ { 3 } = -$ $\frac { 8 } { 3 }$ , $a _ { 4 } =$ 4, $a _ { 5 } = -$ $\frac { 32 } { 5 }$
C) $a _ { 1 } = -$ $\frac { 1 } { 2 }$ , $a _ { 2 } =$ $\frac { 1 } { 2 }$ , $a _ { 3 } = -$ 3
8 , $a _ { 4 } =$ 4, $a _ { 5 } = -$ $\frac { 5 } { 32 }$
D) $\alpha _ { 1 } = 2$ , $a _ { 2 } =$ 2, $a _ { 3 } = -$ $\frac { 8 } { 3 }$ , $a _ { 4 } =$ 4, $a _ { 5 } = -$ $\frac { 32 } { 5 }$
E) $\alpha _ { 1 } = - 2$ , $a _ { 2 } =$ 2, $a _ { 3 } = -$ $\frac { 3 } {8}$ , $a _ { 4 } =$ 4, $a _ { 5 } = -$ $\frac { 5 } { 32 }$

Question

Find the first five terms of the sequence. 
 $\alpha _ { n } = \frac { ( - 2 ) ^ { n } } { n }$ 
A) $\alpha _ { 1 } = - 2$ , $a _ { 2 } =$ 2, $a _ { 3 } = -$ $\frac { 8 } { 3 }$ , $a _ { 4 } =$ 4, $a _ { 5 } = -$ $\frac { 32 } { 5 }$
B) $a _ { 1 } = -$ $\frac { 1 } { 2 }$ , $a _ { 2 } =$ $\frac { 1 } { 2 }$ , $a _ { 3 } = -$ $\frac { 8 } { 3 }$ , $a _ { 4 } =$ 4, $a _ { 5 } = -$ $\frac { 32 } { 5 }$
C) $a _ { 1 } = -$ $\frac { 1 } { 2 }$ , $a _ { 2 } =$ $\frac { 1 } { 2 }$ , $a _ { 3 } = -$ 3
8 , $a _ { 4 } =$ 4, $a _ { 5 } = -$ $\frac { 5 } { 32 }$
D) $\alpha _ { 1 } = 2$ , $a _ { 2 } =$ 2, $a _ { 3 } = -$ $\frac { 8 } { 3 }$ , $a _ { 4 } =$ 4, $a _ { 5 } = -$ $\frac { 32 } { 5 }$
E) $\alpha _ { 1 } = - 2$ , $a _ { 2 } =$ 2, $a _ { 3 } = -$ $\frac { 3 } {8}$  , $a _ { 4 } =$ 4, $a _ { 5 } = -$ $\frac { 5 } { 32 }$

Quizplus · Accepted Answer

The sequence is defined by $\alpha _ { n } = \frac { ( - 2 ) ^ { n } } { n }$. Plugging in values of $n$ from 1 to 5 gives the first five terms as $-2$, $2$, $-\frac{8}{3}$, $4$, and $-\frac{32}{5}$, matching option A.

Find the First Five Terms of the Sequence αn=(−2)nn\alpha _ { n } = \frac { ( - 2 ) ^ { n } } { n }αn​=n(−2)n​

Find the First Five Terms of the Sequence $\alpha _ { n } = \frac { ( - 2 ) ^ { n } } { n }$