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

If the molecule C6H12 does not contain a double bond, and there are no branches in it, what will its structure look like?
Vitamin d-3 is synthesized in the skin in response to sun exposure. true false
During the pre-writing stage, an author will determine A. paragraph topics. B. purpose. C. questions to answer. D. examples.
40 POINTS!!!!!! In some bees, thin stripes (S) are dominant over thick stripes (s) and black eyes (B) are dominant over gray eyes (b). Complete a dihybrid cross
Given it's midpoint and one endpoint apply the midpoint formula and solve for x and y midpoint (22,15) endpoint (18,6
One reason for the Egyptians' successful farmingwas their wise use of _______.
Most blacks deported from the united states settled where? haiti sierra leon liberia south america
why can a cell not survive conditions of unlimited growth
What is the functions of the hip bone?
Jose made these grades on his test: 78,88,98. Without doing any computing, what is his average?