Using the given functions, the value of f(3) is 155
From the question, we are to determine the value of f(3) using the given function.
The given function is
f(n) = 5f(n-1) + 5
To determine the value of f(3),
First, we will determine the value of f(2)
From the given function
f(n) = 5f(n-1) + 5
We can find f(2) as shown below
f(2) = 5f(2-1) + 5
f(2) = 5f(1) + 5
From the given information,
f(1) = 5
∴ f(2) = 5(5) + 5
f(2) = 25 + 5
f(2) = 30
Now, we can determine f(3)
Also, from the given function
f(n) = 5f(n-1) + 5
Then,
f(3) = 5f(3-1) + 5
f(3) = 5f(2) + 5
Substituting the value of f(2) into the equation, we get
f(3) = 5(30) + 5
f(3) = 150 + 5
f(3) = 155
Hence, the value of f(3) is 155
Learn more on Determining the value of a function here: https://brainly.com/question/1252760
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