Which infinite sequence is generated by the formula an = (-2) n?

-2, - 4, - 8, - 16, - 32, ...

-2, 4, - 8, 16, - 32, ...

2, - 4, 8, - 16, 32, ...

2, 4, 8, 16, 32, ...

answer B

-2, 4, - 8, 16, - 32, ...

Step-by-step explanation:

aₙ = (-2) ⁿ

a₁ = (-2) ¹ = - 2

a₂ = (-2) ² = 4

a₃ = (-2) ³ = - 8

a₄ = (-2) ⁴ = 16

a₅ = (-2) ⁵ = - 32

Each term has a factor of (-1) ⁿ. Thus, odd-numbered terms are negative, and even-numbered terms are positive

The series is - 2, 4, - 8, 16, - 32, ...