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

A student reads 65 pages per hour proportional relationship
24% of 289= estimate using a rate per 100 to get answer
A scientist repeats another scientist's experiment but guts different results. What are possible causes
Write a division problem that has a 3 digit dividend and a divisor between 10 and 20
The fall of Tenochtitlán in 1521 was significant because
The Han Dynasty (202 BC – AD 8; AD 25-220) consisted of two parts called the what
A clown bought 6 bags of round balloons with 24 balloons in each bag
A newly discovered tree species has cone-like structures that are covered with exposed seeds. Which plant group does it most likely belong to?
Which careers have the highest minimum experience requirement? Network administrator Software architect CIO System administrator
how do you graph y=-x+ 3/2 please help meee