Respuesta :

mhanifa

Answer:

  • 8

Step-by-step explanation:

Given GP

  • a₂ = 4,
  • a₆ = 16

To find

  • a₄ = ?

Solution

  • a₂ = ar = 4
  • a₆= ar⁵ = 16

Substitute ar in the second equation

  • ar⁵= 16
  • 4r⁴ = 16
  • r⁴ = 4
  • r = √2

Then finding a₄

  • a₄ = a₂*r² = 4*(√2)² = 4*2= 8

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