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

The Law of Effect proposes that what factor impacts whether or not a behavior will be repeated?
"the lowest 500-mb heights are generally associated with the ________ latitude stations. these upper air features result from cooler temperatures in the air col
You want to join the tennis team. You go to the sporting goods store with $100. If the tennis racket you want cost $80 and the tennis balls cost $4 per can, how
Suppose that an individual has body fat percentage of 15.3% and weighs 138 pounds.How many pounds of his weight is made up of fat?Round your answer to nearest
If you roll a fair six-sided dice twice, what is the probability of getting a 2 and a 3, in no particular order
Do you think it would be possible for the United States to return to a policy of isolationism
how many inches is 78% of 3 feet
PLZ ANSWER I WILL BRAINLYEST U IF I CAN PWEASE
Indo-European language is thought to have originated around
which phrase in the passage “she stopped...heavy door” from “ a visit of charity” creates a dark and foreboding mood?