Respuesta :

mhanifa

Answer:

  • A. aₙ = (2/7)ⁿ⁻¹

Step-by-step explanation:

According to sequence we observe:

  • the first term is a₁ = 1
  • the common ratio is r = 2/7

Equation of nth term of GP:

  • aₙ = a₁r°⁻¹

Substitute to get:

  • aₙ = 1*(2/7)ⁿ⁻¹ = (2/7)ⁿ⁻¹

Correct choice is A
  • First term=a=1
  • Common ratio=4/49÷2/7=4/49×7/2=2/7

Now the explicit formula

  • ar^{n-1}
  • 1(2/7)^{n-1}
  • (2/7)^{n-1}

Option A