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

Calculate f(2): We are given the initial condition f(1) = 4 and the recursive formula f(n) = f(n-1)^(2) - 2. To find f(3), we first need to find f(2) using the given formula. Calculate f(2) using f(1): f(2) = f(1)^(2) - 2 f(2) = 4^2 - 2 f(2) = 16 - 2 f(2) = 14Calculate f(3): Now that we have f(2), we can use it to find f(3) using the same recursive formula. Calculate f(3) using f(2): f(3) = f(2)^(2) - 2 f(3) = 14^2 - 2 f(3) = 196 - 2 f(3) = 194

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

If $f(1)=4$ and $f(n)=f(n-1)^{2}-2$ then find the value of $f(3)$ . $\newline$ Answer:

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Math Problems

Algebra 2

Evaluate expression when two complex numbers are given

Full solution

Q. If

f(1)=4

and

f(n)=f(n-1)^{2}-2

then find the value of

f(3)

\newline

Answer:

Calculate $f(2)$ : We are given the initial condition $f(1) = 4$ and the recursive formula $f(n) = f(n-1)^{2} - 2$ . To find $f(3)$ , we first need to find $f(2)$ using the given formula. $\newline$ Calculate $f(2)$ using $f(1)$ : $\newline$ $f(2) = f(1)^{2} - 2$ $\newline$ $f(2) = 4^2 - 2$ $\newline$ $f(2) = 16 - 2$ $\newline$ $f(1) = 4$ $0$
Calculate $f(3)$ : Now that we have $f(2)$ , we can use it to find $f(3)$ using the same recursive formula. $\newline$ Calculate $f(3)$ using $f(2)$ : $\newline$ $f(3) = f(2)^{2} - 2$ $\newline$ $f(3) = 14^{2} - 2$ $\newline$ $f(3) = 196 - 2$ $\newline$ $f(3) = 194$