Question

9.Determine a PG, sendo a 1 = 54 e q=1/3?

Answer 1

Resposta:

PG: (54, 18, 6, 2,....)

Explicação passo-a-passo:

a₁=54

q=1/3

aₙ=a₁.q⁽ⁿ⁻¹⁾

aₙ=54.(1/3)⁽ⁿ⁻¹⁾

Para:

a₂=54(1/3)⁽²⁻¹⁾=54(1/3)¹=54(1/3)=18

a₃=54(1/3)⁽³⁻¹⁾=54(1/3)²=54(1/9)=6

a₄=54(1/3)⁽⁴⁻¹⁾=54(1/3)³=54(1/24)=2