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A recursive rule for a geometric sequence is a1=8;an=3/4(an-1). What is the explicit rule for this sequence?

A. an = 1/4 (8)n-1

B. an=8(3/4)n-1

C. an =3/4 (8)n-1

Respuesta :

sqdancefan

Answer:

  B.  an=8(3/4)^(n-1)

Step-by-step explanation:

The general term of a geometric sequence with first term a1 and common ratio r is ...

  an = a1·r^(n-1)

The recursive rule for the sequence tells you the first term is 8 and the common ratio is 3/4. Then the explicit rule is ...

  an = 8(3/4)^(n-1) . . . . . matches choice B

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