Respuesta :
Answer:
6
Step-by-step explanation:
Lets see what f(2) is.
f(n + 1) = f(n) – 2
We are going to replace n with 1 to get f(2):
f(1+1)=f(1)-2
f(2)=f(1)-2
Since f(1)=10 we can rewrite as:
f(2)=10-2
f(2)=8
We want to find f(3) so now we will replace n with 2:
f(n + 1) = f(n) – 2
f(2+1)=f(2)-2
f(3)=f(2)-2
f(3)=8-2
f(3)=6.
So f(3) is 6.
Another way:
f(n + 1) = f(n) – 2 says you can find the next term by taking previous and minus 2 from it.
So if we start with first term, f(1) , is 10.
Then second term, f(2) , is 10-2=8.
The third term, f(3) , is 8-2=6.
A function assigns the values. The value of f(3) is 6.
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
Given a sequence is defined by the recursive function f(n+1)=f(n)–2, also, it is given the value of f(1) is 10. Therefore, the values can be written as,
f(1+1) = f(1)-2
f(2)= 10 - 2
f(2) = 8
f(2+1) = f(2)-2
f(3)= 8 - 2
f(3) = 6
Hence, the value of f(3) is 6.
Learn more about Function:
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