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

which group in american society might have opposed progressive reform? Explain
Which of the following is the main industry of Luxembourg? a. technology b. farming c. textiles d. automobile manufacturing
where is DNA located ? In the chromosome or in nucleus?
How can doing something for someone else help to relieve stress? A. It gets your mind off your own troubles. B. It helps you to sleep better. C. It can get you
find the slope of the line having equation 4x- 3y= 13
can you ever use a calculator to determine if a number is rational or irrational
There are many freshwater and saltwater areas in the everglades. What is the simple subject?
__________________ kills many disease-causing bacteria that may have been ingested. A. Pepsin B. Bile C. Gastrin D. Hydrochloric acid
If the range of the function f(x)=x4 is {28, 30, 32, 34, 36}, what is its domain?
Where does surface water collect if it does not flow to the ocean