Write the simplified explicit rule for the given sequence:
4, -16, 64, -256 ...
An=____

Answer:
Aₙ =A₁ ₓ (-4)ⁿ⁻¹
Step-by-step explanation:
A₁ = 4
Aₙ =A₁ ₓ (-4)ⁿ⁻¹
A₁ = 4 x (-4)¹⁻¹ = 4
A₂ = 4 x (-4)²⁻¹ = 4 x (-4)¹ = -16
A₃ = 4 x (-4)² = 64