If a sequence is recursively defined by f(0)=5 and f(n+1)=-4f(n)+2 for n greater than or equal to 0. find f(3) ?

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

answer

a the answer hopes this

step-by-step explanation:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!