Determine the nth term of the sequence -3, 3, -3, 3, … . Assume that n starts at 1.

A) $( - 3 ) ^ { n }$
B) $( - 3 ) ^ { n + 1 }$
C) $- 3 n$
D) $( - 1 ) ^ { n + 1 } 3$
E) $( - 1 ) ^ { n } 3$

Question

Determine the nth term of the sequence -3, 3, -3, 3, … . Assume that n starts at 1.

A) $( - 3 ) ^ { n }$
B) $( - 3 ) ^ { n + 1 }$
C) $- 3 n$
D) $( - 1 ) ^ { n + 1 } 3$
E) $( - 1 ) ^ { n } 3$

Quizplus · Accepted Answer

The sequence alternates between -3 and 3. When n is odd, the term is -3, and when n is even, the term is 3. The expression $(-1)^n 3$ gives -3 for odd n and 3 for even n, matching the sequence.

Determine the Nth Term of the Sequence -3, 3, -3 (−3)n( - 3 ) ^ { n }(−3)n

Determine the Nth Term of the Sequence -3, 3, -3 $( - 3 ) ^ { n }$