Answer:
The correct answer is f(3) = -294
Step-by-step explanation:
To find f(3), we have to find f(1) and f(2)
It is given that,
f(0)=5 and f(n+1)=-4f(n)+2
To find f(1)
using given information,
f(1) = -4f(0) + 2 = -4*5 + 2 = -20 +2 = -18
To find f(2)
f(2) = -4f(1) + 2 = -4*-18 + 2 = 72 + 2 = 74
To find f(3)
f(3) =-4f(2) + 2 = -4*74 + 2 =-296 + 2 = -294
Therefore the value of f(3) = -294
