painespeach7296 painespeach7296
  • 01-08-2022
  • Mathematics
contestada

The formula f(x 1) = two-thirds(f(x)) defines a geometric sequence where f(1) = 18. which explicit formula can be used to model the same sequence?

Respuesta :

Tutorconsortium349 Tutorconsortium349
  • 11-08-2022

The explicit formula is Tn = 18[[tex]\frac{2}{3} ^{n-1}[/tex]]

here, we have to find n.

Now, F(2) = 2/3 * f1 = 2/3 * 18 = 12

F(3) = 2/3 * f(2) = 2/3 * 12 = 8

F(4) = 2/3 * F(3) = 2/3 * 8 = 16/3

F(5) = 2/3 * 16/3 = 32/9

These equations form a pattern.

That is Tn = (2/3)^(n-1)(18)

https://brainly.com/question/16948480

#SPJ4

Answer Link

Otras preguntas

transpiration is the evaporation of water from brainly
A power plant recently purchased land and will be building a large factory on wetlands in Florida. Which of these is not an environmental effect of destroying t
The cost c, in dollars, for bananas depends on the weight w,in pounds, of the bananas. This situation is represented by the function rule C=0.5w (Graph each fun
Help solving this acceleration problem.
evaluate y^2+7y-8 when y=-3
If price and worth mean the same thing, why priceless and worthless are opposites?
Solve for x: -3(2x+1) + 3x = 6x + 3 Help!!
Angela rode his bike around a bike trail that was 1/4 of a mile long he rode his bike around the trail 8 * Angelo says he wrote a total of 8/4 miles to Russell
The angles below are supplementary. What is the value of x? A pair of supplementary angles is shown. One angle measures 7x + 33, and the other angle measures 70
Medium sodas cost $1.25 and hot dogs cost $2.50. Natalie’s group brought in pizzas but is buying the drinks at concession stand. How many medium sodas can Natal