julia6161
julia6161 julia6161
  • 10-04-2020
  • Mathematics
contestada

Write the simplified explicit rule for the given sequence:

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

An=____

Write the simplified explicit rule for the given sequence 4 16 64 256 An class=

Respuesta :

kenlingdad kenlingdad
  • 10-04-2020

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

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