PrettyAddictionxoxo
PrettyAddictionxoxo PrettyAddictionxoxo
  • 10-12-2021
  • Mathematics
contestada

A recursive rule for a geometric sequence is
a1 = 9; an = 2/3 (an−1)

What is the iterative rule for this sequence?

A.) an = 9 • (2/3)^n
B.) an = 2/3 • 9^n
C.) an = 9 • (2/3)^n-1

Respuesta :

cinderofsoulsss
cinderofsoulsss cinderofsoulsss
  • 10-12-2021

Answer:

C. [tex]a_n=(9)(\frac{2}{3})^{n-1}[/tex]

Step-by-step explanation:

Iterative geometric sequence:

[tex]a_n=a_1x^{n-1}[/tex]

Recursive geometric sequence:

[tex]a_n=xa_{n-1}[/tex]

The equations are very similar and you only really need to rearrange it. The factor (2/3) and the first term (9) are given, so you can write the iterative equation:

[tex]a_n=(9)(\frac{2}{3})^{n-1}[/tex]

And so the answer is C.

Answer Link

Otras preguntas

Who made the earliest known photograph of all time
How is a character described physically, emotionally, and/or psychologically?​
Write a essay on childhood in 100 words.
Sergei runs a bakery. He needs at least 175175175 kilograms of flour in total to complete the holiday orders he's received. He only has 343434 kilograms of flou
Let ƒ(x) = 4x − 7 and g(x) = 5 + 9x. What are ƒ + g and ƒ − g? What are their domains?
HELP ME PLZ!!!!!!!!!!!!!!!!!!!!
Which of the following do we most associate with developing civilizations specialized workers disease very diverse population large militaries
The picture shows the Alamillo Bridge in Seville, Spain. In the picture, mZ1 = 58°. Find the measure of the supplement of 21.
The smooth ER differs from the rough ER in that:
which event occurred at the same time as the destruction of the Minoan civilization ?The Mayan culture was founded, The greek city states began to form ,Stonehe
good job