quinton132000 quinton132000
  • 06-07-2020
  • Mathematics
contestada

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

What is the explicit formula for the geometric sequence with this recursive formula class=
What is the explicit formula for the geometric sequence with this recursive formula class=

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 06-07-2020

Answer:

 A     an = -3 * (1/8) ^ (n-1)

Step-by-step explanation:

We know the first term a1 = -3

And the common ratio  r = 1/8 from the an = an-1 * 1/8

The explicit formula is

an = a1 r^ (n-1)

an = -3 * (1/8) ^ (n-1)

Answer Link
devishri1977
devishri1977 devishri1977
  • 06-07-2020

Answer:

A

Step-by-step explanation:

a₁ = -3  ------>  first term

r ----> common ratio

[tex]a_{n}=a_{n-1}*\frac{1}{8}\\\\r=\frac{1}{8}\\\\a_{n}=a_{1}*r^{n-1}\\\\a_{n}=-3*(\frac{1}{8})^{n-1}[/tex]

Answer Link

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