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S.O.S I NEED HELP ON THIS QUESTION

What is the recursive formula for the geometric sequence with this explicit formula?

SOS I NEED HELP ON THIS QUESTION What is the recursive formula for the geometric sequence with this explicit formula class=

Respuesta :

mreijepatmat
a(n) = 9.(-1/3)ⁿ⁻¹

for n = 1; a₁ = 9.(-1/3)⁰ = 9.(1) = 9

for n=2 , a₂ = 9.(-1/3)¹ = -9/3 = -3 or a₂ = a₁.(-1/3)¹

for n=3 ; a₃ = 9.(-1/3)² =9/9  =1 or a₃ = a₂.(-1/3)²

so a₁ =9  and

a(n) = a(n-1)(-1/3)  (ANSWER A)
       

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