Question

Write the simplified explicit rule for the given sequence:

4, -16, 64, -256 ...

An=____

Answer 1

Aₙ =A₁ ₓ (-4)ⁿ⁻¹

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