Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

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

View step-by-step help

View step-by-step help

Evaluate expression when a complex numbers and a variable term is given

Full solution

Q. If

a_{1}=2

and

a_{n}=\left(a_{n-1}\right)^{2}+n

then find the value of

a_{4}

.

\newline

Answer:

Calculate $a_{2}$ : Given the recursive formula $a_{n}=(a_{n-1})^{2}+n$ and the initial condition $a_{1}=2$ , we need to find the value of $a_{4}$ . We will start by finding $a_{2}$ using the given formula. $\newline$ $a_{2} = (a_{1})^2 + 2$ $\newline$ $= (2)^2 + 2$ $\newline$ $= 4 + 2$ $\newline$ $= 6$
Calculate $a_{3}$ : Next, we will find $a_{3}$ using the value of $a_{2}$ we just calculated. $\newline$ a_{3} = (a_{2})^2 + 3\(\newline = (6)^2 + 3 $\newline$ = 36 + 3 $\newline$ = 39\)
Calculate $a_{4}$ : Finally, we will find $a_{4}$ using the value of $a_{3}$ . $a_{4} = (a_{3})^2 + 4 = (39)^2 + 4 = 1521 + 4 = 1525$

More problems from Evaluate expression when a complex numbers and a variable term is 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