melody72dude melody72dude
  • 16-02-2022
  • Mathematics
contestada

A sequence is defined by the recursive function f(n + 1) = one-third f(n). If f(3) = 9 , what is f(1) ?

Respuesta :

samuelmeier187
samuelmeier187 samuelmeier187
  • 16-02-2022

Answer:

81

Step-by-step explanation:

The recursive function is given as:

f(n+1)=1/3f(n)

So then we multiply both sides by 3:

3f(n+1)=f(n)

Then we set n=2:

3f(2+1)=f(2)

Which comes to be:

f(2)=3f(3)

Next we set n=1:

f(1)=3f(1+1)

Which is:

f(1)=3f(2)

Then we substitute:

f(1)=3*3f(3)

=9f(3)

=9*9

=81

Be sure to heart and like. Comment below if you have  any questions or comments (average response time is a day or shorter)

Answer Link

Otras preguntas

Put immortal in a sentence
(3 x 10^4) + (2 x 10²) + (4 x 10) = simplifies to what?
How did John Fremont's description change people's view of the West?
Where in a plant cell is a water molecule broken down to release oxygen gas, electrons, and hydrogen ions? A. In the inner matrix of the mitochondrion B. In the
17. Which philosophy is evident in Monk Sewing attributed to Kao Ninga?   Zen Pure Land Buddhism Shinto Daoism
How did John Fremont's description change people's view of the West?
tempestad en la cordillera resumen
1. Analysis reveals that _______ is among those countries with the lowest per capita GDP.A. MexicoB. ArgentinaC. RomaniaD. India 2. Juan Perón was to Argentina
Last year 7/16 of all students at a school participated in the science fair. About what percentage of the students participated?
Every substance is either an element or a ____. Fill in the blank. Molecular Compounds is the chapter I'm on.