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

What is the value for y? Enter your answer in the box. Y= C (5y + 10) degrees A 50 degrees B 2x degrees
The distance, d, measured in miles, that Hye drove is d = 45. 2t, where t is the time in hours. What is the constant of proportionality? Enter your answer as a
What does the formula |_|r^2 find?
Write an equivalent for 2(x - 3) + 5
What is the difference between a meteor, meteoroid, and meteorite? Explain
What number is 9 more than 1/4 of itself? (A) 8 (B) 9 (C) 10 (D) 12 (E) 14
Given m|n, find the value of x. (7x-7) (6x +11)
Write the chemical symbol for these molecules
A theme that runs through the poems in this unit is that a sense of pride is important to a sense of self-worth. What do you think is the connection between thi
how did great depression impact ordinary people ?