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

The given sequence is $a_n = (-1)^n(n-1)(n-2)$. Calculating the first five terms: for $n=1$, $a_1 = (-1)^1(0)(-1) = 0$; for $n=2$, $a_2 = (-1)^2(1)(0) = 0$; for $n=3$, $a_3 = (-1)^3(2)(1) = -2$; for $n=4$, $a_4 = (-1)^4(3)(2) = 6$; for $n=5$, $a_5 = (-1)^5(4)(3) = -12$.

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

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