A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
-$a_{1}=2, a_{n+1}=(-1)^{n} a_{n}$
A) 2, -2, -2, 2, 2
B) 2, -2, 2, -2, 2
C) -2, 2, -2, 2, -2
D) 2, 2, -2, -2, 2

Question

Quizplus · Accepted Answer

The first term is 2. The second term is (-1)^1 * 2 = -2. The third term is (-1)^2 * (-2) = 2. The fourth term is (-1)^3 * 2 = -2. The fifth term is (-1)^4 * (-2) = 2.

A Recursion Formula and the Initial Term(s) of a Sequence a1=2,an+1=(−1)nana_{1}=2, a_{n+1}=(-1)^{n} a_{n}a1​=2,an+1​=(−1)nan​

A Recursion Formula and the Initial Term(s) of a Sequence $a_{1}=2, a_{n+1}=(-1)^{n} a_{n}$