Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

If $a_{1}=5, a_{2}=0$ and $a_{n}=a_{n-1}-a_{n-2}$ then find the value of $a_{4}$ . $\newline$ Answer:

View step-by-step help

View step-by-step help

Add, subtract, multiply, and divide complex numbers

Full solution

Q. If

a_{1}=5, a_{2}=0

and

a_{n}=a_{n-1}-a_{n-2}

then find the value of

a_{4}

.

\newline

Answer:

Given Sequence and Formula: We are given the first two terms of the sequence: $a_{1} = 5$ and $a_{2} = 0$ . We are also given the recursive formula for the sequence: $a_{n} = a_{n-1} - a_{n-2}$ . To find $a_{4}$ , we first need to find $a_{3}$ using the recursive formula.
Calculate $a_{3}$ : Using the recursive formula, we calculate $a_{3}$ as follows: $\newline$ $a_{3} = a_{2} - a_{1}$ $\newline$ $a_{3} = 0 - 5$ $\newline$ $a_{3} = -5$
Calculate $a_{4}$ : Now that we have $a_{3}$ , we can use it along with $a_{2}$ to find $a_{4}$ using the same recursive formula: $\newline$ $a_{4} = a_{3} - a_{2}$ $\newline$ $a_{4} = -5 - 0$ $\newline$ $a_{4} = -5$

More problems from Add, subtract, multiply, and divide complex numbers

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