If f(1)=5,f(2)=0 and f(n)=3f(n-1)-3f(n-2) then find the value of f(4). Answer:

Calculate f(3): To find f(4), we need to use the recursive formula f(n)=3f(n-1)-3f(n-2) and the given values f(1)=5 and f(2)=0. Let's start by finding f(3).Find f(4): Using the recursive formula, we calculate f(3) as follows: f(3) = 3f(2) - 3f(1) f(3) = 3(0) - 3(5) f(3) = 0 - 15 f(3) = -15Use Recursive Formula: Now that we have f(3), we can use it along with f(2) to find f(4) using the same recursive formula: f(4) = 3f(3) - 3f(2) f(4) = 3(-15) - 3(0) f(4) = -45 - 0 f(4) = -45

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If
f(1)=5,f(2)=0 and
f(n)=3f(n-1)-3f(n-2) then find the value of
f(4).
Answer:

If $f(1)=5, f(2)=0$ and $f(n)=3 f(n-1)-3 f(n-2)$ then find the value of $f(4)$ . $\newline$ Answer:

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Precalculus

Find the roots of factored polynomials

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Q. If

f(1)=5, f(2)=0

and

f(n)=3 f(n-1)-3 f(n-2)

then find the value of

f(4)

\newline

Answer:

Calculate $f(3)$ : To find $f(4)$ , we need to use the recursive formula $f(n)=3f(n-1)-3f(n-2)$ and the given values $f(1)=5$ and $f(2)=0$ . Let's start by finding $f(3)$ .
Find $f(4)$ : Using the recursive formula, we calculate $f(3)$ as follows: $\newline$ $f(3) = 3f(2) - 3f(1)$ $\newline$ $f(3) = 3(0) - 3(5)$ $\newline$ $f(3) = 0 - 15$ $\newline$ $f(3) = -15$
Use Recursive Formula: Now that we have $f(3)$ , we can use it along with $f(2)$ to find $f(4)$ using the same recursive formula: $\newline$ $f(4) = 3f(3) - 3f(2)$ $\newline$ $f(4) = 3(-15) - 3(0)$ $\newline$ $f(4) = -45 - 0$ $\newline$ $f(4) = -45$