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

my teacher talked for an hour about the uselessness of long speeches. A. metaphor B.simile C Irony D. idiom
Explain the difference between an infection caused by a fungus and an allergy caused by a fungus
Which central government agency was responsible to provide news on the war?
Which amount of time is the shortest? 3 hours, 50 minutes 250 minutes 270 minutes 4 hours, 10 minutes
What are the Connotations of the word 'blister'?
how does sediment loss affect land and soil quality
What would happen to the ratio of copper to iron if you had placed more nails in the beaker ?
3/9 in simplest form
What conflict drives the action forward in Romeo and Juliet? A. an ongoing argument between Mercutio and Romeo about women B. an ancient feud between the Montag
Choose all the numbers that are multiples of 12. 22 48 12 36 64 56 60