
Josiah A.
asked 10/21/21f f(1)=6f(1)=6 and f(n)=f(n-1)-5f(n)=f(n−1)−5 then find the value of f(5)f(5)
1 Expert Answer

William W. answered 10/21/21
Math and science made easy - learn from a retired engineer
We start with f(1) = 6
Using f(n) = f(n - 1) - 5, we can find f(2). Since n = 2:
f(2) = f(2 - 1) - 5 = f(1) - 5 = 6 - 5 = 1
Now we can find f(3) using f(n) = f(n - 1) - 5, since n = 3::
f(3) = f(3 - 1) - 5 = f(2) - 5 = 1 - 5 = -4
Now we can find f(4) using f(n) = f(n - 1) - 5, since n = 4:
f(4) = f(4 - 1) - 5 = f(3) - 5 = -4 - 5 = -9
Now we can find f(5) using f(n) = f(n - 1) - 5, since n = 5:
f(5) = f(5 - 1) - 5 = f(4) - 5 = -9 - 5 = -14
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Mark M.
Does this refer to a function or to a sequence?10/21/21