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

The area of Australia is approximately 7.7 x 10^6 km. If it were to be divided into states of about 1.54 x 10^6 km, how many states would there be? ​
4) Write a letter to your friends telling him/her about your family. Please help
what is the length of the diagonal of the screen,in feet?
sorry sorry I know I'm asking for a lot of help but I don't know the answer :')​
Please somebody help me with this.​
4 AlF3 + 3 O2 ----------> 2Al2O3 + 6 F2 How many moles of AlF3 is needed to produce 8.25 moles of F2 from the given balanced equation shown above? (SHOW WOR
03 P Pearson hool District
How did bacon define the scholar?
The balance in Ms. Almquist's bank account is $428.25. She buys some clothing and has $378.78|left inher bank account. How much did she spend on clothing?
On Dec. 15, 2019, Taxpayer hired a roofing company to repair leaks in the roof of Taxpayer's business-use warehouse. The repairs were completed on Dec. 22, 2019