Answer :

The value f(5) is 1792 given that f(1)=7 and f(n)=4f(n-1). This can be obtained by finding f(2), f(3) and f(4) by putting values in the given formula f(n)=4f(n-1).

Find the value of f(5):

Expression in mathematics is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).  

Here in the question it is given that,

  • f(1) = 7
  • f(n) = 4f(n - 1)

We have to find the value of f(5).

By using the given conditions we can write that,

  • f(1) = 7
  • f(2) = 4f(1)

f(2) = 4 × 7

f(2) = 28

  • f(3) = 4f(2)

f(3) = 4 × 28

f(3)= 112

  • f(4) = 4f(3)

f(4) = 4 × 112

f(4) = 448

  • f(5) = 4f(4)

f(5) = 4 × 448

f(5) = 1792

Hence the value f(5) is 1792 given that f(1) = 7 and f(n) = 4 f(n-1).

 

 

Learn more about functions here:

brainly.com/question/16584515

#SPJ9