Write an expression for the apparent nth term of the sequence.(Assume that n begins with 1.) $2 , - 4,6 , - 8,10 , \ldots$
A) $a _ { n } = ( - 1 ) ^ { n + 1 } ( 2 n )$
B) $a _ { n } = n ^ { 2 } + 2$
C) $a _ { n } = ( - 1 ) ^ { n + 1 } ( - 2 n )$
D) $a _ { n } = 2 n ^ { 2 }$
E) $a _ { n } = ( - 1 ) ^ { n } ( 2 n )$

Question

Write an expression for the apparent nth term of the sequence.(Assume that n begins with 1.)   $2 , - 4,6 , - 8,10 , \ldots$  
A) $a _ { n } = ( - 1 ) ^ { n + 1 } ( 2 n )$
B) $a _ { n } = n ^ { 2 } + 2$
C) $a _ { n } = ( - 1 ) ^ { n + 1 } ( - 2 n )$
D) $a _ { n } = 2 n ^ { 2 }$
E) $a _ { n } = ( - 1 ) ^ { n } ( 2 n )$

Quizplus · Accepted Answer

The sequence alternates between adding 2 and subtracting 4. The apparent nth term is therefore (-1)^(n+1) * (2n).

Write an Expression for the Apparent Nth Term of the Sequence.(Assume