Respuesta :
f(5) = - 2f(4) + 1
f(4) = -2f(3) + 1
f(3) = -2f(2) + 1
f(2) = -2f(1) + 1
Therefore:
f(2) = -2(3) + 1 = -5
f(3) = -2(-5) + 1 = 11
f(4) = -2(11) + 1 = -21
Therefore f(5) = -2(-21) + 1 = 43
f(4) = -2f(3) + 1
f(3) = -2f(2) + 1
f(2) = -2f(1) + 1
Therefore:
f(2) = -2(3) + 1 = -5
f(3) = -2(-5) + 1 = 11
f(4) = -2(11) + 1 = -21
Therefore f(5) = -2(-21) + 1 = 43
The value f(5) when f)1) = 3 is f(5) = 43.
How to find the 5th term of the sequence?
The fifth term of the sequence can be found by finding the value of all the terms that precede it.
We can find the value of f(5) as shown below:
The value of f(1) is given as:
f(1) = 3
With this, we can find the value of f(2) and with f(2), we can find the value of f(3), and so on.
f(n) = - 2f(n-1)+1
At n = 2:
f(2) = -2f(2-1)+1
= - 2f(1)+1
= - 2*3 + 1
= - 5
When n = 3:
f(3) = -2*-5 + 1
= 11
When n = 4:
f(4) = -2*11 + 1
= -21
When n = 5:
f(5) = -2*-21 + 1
= 43
Therefore, we have found the value of f(5) to be f(5) = 43.
Learn more about sequences here: https://brainly.com/question/6561461
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