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,

–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, ...

answer B

Step-by-step explanation:

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.