Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

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

View step-by-step help

View step-by-step help

Evaluate expression when two complex numbers are given

Full solution

Q. If

f(1)=4

and

f(n+1)=f(n)^{2}+4

then find the value of

f(3)

.

\newline

Answer:

Given initial condition and formula: We are given the initial condition and the recursive formula: $\newline$ $f(1) = 4$ $\newline$ $f(n+1) = f(n)^{2} + 4$ $\newline$ We need to find $f(3)$ . To do this, we will first find $f(2)$ using the given recursive formula. $\newline$ Substitute $n=1$ into the recursive formula to find $f(2)$ . $\newline$ $f(2) = f(1)^{2} + 4$
Calculate $f(2)$ : Now we calculate $f(2)$ using the value of $f(1)$ .
$f(2) = 4^{2} + 4$
$f(2) = 16 + 4$
$f(2) = 20$
We have found $f(2)$ without any mathematical errors.
Use $f(2)$ to find $f(3)$ : Next, we use the value of $f(2)$ to find $f(3)$ using the recursive formula again. $\newline$ Substitute $n=2$ into the recursive formula to find $f(3)$ . $\newline$ $f(3) = f(2)^{2} + 4$
Calculate $f(3)$ : Now we calculate $f(3)$ using the value of $f(2)$ .
$f(3) = 20^{2} + 4$
$f(3) = 400 + 4$
$f(3) = 404$
We have found $f(3)$ without any mathematical errors.

More problems from Evaluate expression when two complex numbers are given

Question

\newline

8i + 6i

\newline

\newline

Write your answer in the form

a + bi

\newline

\underline{\hspace{1cm}}

\newline

Posted 2 months ago

Question

Find the complex conjugate of the given number.

\newline

4 + 10i

\newline

\newline

Write your answer in the form

a + bi

\newline

Posted 1 month ago

Question

\newline

\frac{{-4i}}{{-9i}}

\newline

\newline

Write your answer in the form

a + bi

. Reduce all fractions.

\newline

\_\_\_\_\_

\newline

Posted 1 month ago

Question

Combine the like terms to create an equivalent expression.

\newline

7k-k+19=\boxed{\phantom{0}}

Posted 4 months ago

Question

Apply the distributive property to factor out the greatest common factor.

\newline

9+12 n=

Posted 1 month ago

Question

Solve the equation.

\newline

\begin{aligned} & 12=n-9 \\ n= & \square \end{aligned}

Posted 4 months ago

Question

What is the amplitude of

y=-\sin (8 x-3)+5

\newline

Posted 2 months ago

Question

What is the period of

\newline

y=4 \sin (-2 x+7)-1 \text { ? }

\newline

Give an exact value.

\newline

Posted 1 month ago

Question

3 \cdot(3+20 i)=

\newline

Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

Posted 3 months ago

Question

(35-23 i)+(13+25 i)=

\newline

Express your answer in the form

(a+b i)

Posted 1 month ago