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

what is the GCF of 12x and 44xy
Six nickels is what percent of one dollar? What percent of $2.00 would it be? Please help.
Which choice is equivalent to the expression below? 5x sqrt 2 - 2 sqrt 2 + 2x sqrt 2 A. 7x sqrt 2 - 2 sqrt 2 B. 2x^2 sqrt 2 C. 3x sqrt 2 D. 7x^2 sqrt 2
Is the following correspondence a function
Choose the right variant 1 This book will take to years to write. A. After two years I'll write this book B. In two years time I'll have written this book C . A
Lim[(sqrt(cos(2x))-cubicrootof(cos(x))]/arctg(x^2) when x->0
the difference of two numbers is 11 and their product is 42.find these numbers.
Why are chloroplasts absent in epidermal cells ?
For what values of the variable is each rational expression undefined2x-3/2x-1( step by step please)
What are some key words to use in writing and evaluation?