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

Given f(1) = 4: We are given f(1) = 4 and the recursive formula f(n) = f(n-1)^(2) - n. To find f(4), we need to find the values of f(2), f(3), and then f(4) using the recursive formula.Find f(2): First, let's find f(2) using the formula: f(2) = f(2-1)^(2) - 2 f(2) = f(1)^(2) - 2 f(2) = 4^2 - 2 f(2) = 16 - 2 f(2) = 14Find f(3): Next, we find f(3) using the value of f(2): f(3) = f(3-1)^(2) - 3 f(3) = f(2)^(2) - 3 f(3) = 14^2 - 3 f(3) = 196 - 3 f(3) = 193Find f(4): Finally, we find f(4) using the value of f(3): f(4) = f(4-1)^(2) - 4 f(4) = f(3)^(2) - 4 f(4) = 193^2 - 4 f(4) = 37249 - 4 f(4) = 37245

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

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

then find the value of

f(4)

\newline

Answer:

Given $f(1) = 4$ : We are given $f(1) = 4$ and the recursive formula $f(n) = f(n-1)^{2} - n$ . To find $f(4)$ , we need to find the values of $f(2)$ , $f(3)$ , and then $f(4)$ using the recursive formula.
Find $f(2)$ : First, let's find $f(2)$ using the formula: $\newline$ $f(2) = f(2-1)^{2} - 2$ $\newline$ $f(2) = f(1)^{2} - 2$ $\newline$ $f(2) = 4^{2} - 2$ $\newline$ $f(2) = 16 - 2$ $\newline$ $f(2) = 14$
Find $f(3)$ : Next, we find $f(3)$ using the value of $f(2)$ :
$f(3) = f(3-1)^{2} - 3$
$f(3) = f(2)^{2} - 3$
$f(3) = 14^{2} - 3$
$f(3) = 196 - 3$
$f(3) = 193$
Find $f(4)$ : Finally, we find $f(4)$ using the value of $f(3)$ :
$f(4) = f(4-1)^{2} - 4$
$f(4) = f(3)^{2} - 4$
$f(4) = 193^{2} - 4$
$f(4) = 37249 - 4$
$f(4) = 37245$