Write the first five terms of the sequence. (Assume that $n$ begins with 1.)
$$a _ { n } = ( - 1 ) ^ { n } ( n - 1 ) ( n - 2 )$$
A) $4,0,0 , - 2,6$
B) $0,0 , - 2,6 , - 12$
C) $0,0 , - 2 , - 6 , - 12$
D) $0,2 , - 6,12 , - 20$
E) $0 , - 1,2 , - 3,4$

Question

Quizplus · Accepted Answer

To find the first five terms of the sequence, substitute $n = 1, 2, 3, 4, 5$ into the formula $a_n = (-1)^n(n - 1)(n - 2)$:- For $n = 1$, $a_1 = (-1)^1(1 - 1)(1 - 2) = 0$- For $n = 2$, $a_2 = (-1)^2(2 - 1)(2 - 2) = 0$- For $n = 3$, $a_3 = (-1)^3(3 - 1)(3 - 2) = -2$- For $n = 4$, $a_4 = (-1)^4(4 - 1)(4 - 2) = 6$- For $n = 5$, $a_5 = (-1)^5(5 - 1)(5 - 2) = -12$Thus, the first five terms are $0, 0, -2, 6, -12$.

Write the First Five Terms of the Sequence nnn Begins with 1

Write the First Five Terms of the Sequence $n$ Begins with 1