All categories

3 years ago

What is the recursive formula for this arithmetic sequence?

Mathematics

1 answer:

zhuklara [117]3 years ago

7 0

Answer:

Step-by-step explanation:

You might be interested in

2. Solve the system of equations. Write your answer in parametric vector notation. X, +5x2 + 4x3 + 3x4 +9xs = 18 2x, +6x2 + 4x3

ratelena [41]

Answer:

The system is inconsistent.

Step-by-step explanation:

The system is

$x_1+5x_2+4x_3+3x_4+9x_5=18\\2x_1+6x_2+4x_3+6x_4+6x_5=28\\3x_1+7x_2+4x_3+10x_4+x_5=41\\4x_1+6x_2+2x_3+7x_4+4x_5=29$

The associated matrix to the system is

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\2&6&4&6&6&28\\3&7&4&10&1&41\\4&6&2&7&4&29\end{array}\right]$

Now we use row operations to find the echelon form of the matrix:

1. We substract to row 2, two times the row 1.

We substract to row 3, three times the row 1.

We substract to row 4, four times the row 1 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&-4&-4&0&-12&-8\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

2. We multiply the second row of the preview step by -1/4. We obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

We add to row 3, eight times the row 2.

We add to row 4, fourtheen times the row 2 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&-5&10&-155\end{array}\right]$

4. We add to row 4 of the preview step, five times the row 3 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&0&0&-140\end{array}\right]$

Using backward substitution we have that

$0x_5=-140$ , then $0=-140$ and this is absurd. Then The system is inconsistent.

4 0

3 years ago

Can someone help me with this

Dmitrij [34]

Answer:

$\frac{1}{18}$

Step-by-step explanation:

So say there are x yellow cubes.

Yellow = x

Blue = 3x

Green = 15x

It doesn't say red so I'm going to assume there are none.

$\frac{x}{18x}=\frac{1}{18}$

7 0

3 years ago

Subtract.<br><br> −3 3/8−7/8<br><br> Enter your answer, in simplest form, in the box.

sp2606 [1]

Answer:

-4 1/4

Step-by-step explanation:

7 0

3 years ago

Fatima wants to add a 20% tip on a $56 restaurant bill.

NNADVOKAT [17]

Answer:

The answer is A) Round 56 to 60, find 10%, then double.

Step-by-step explanation:

You would round to 60 because 56 is closer to 60 than 50 then 10% is half of 20% so you would double it after you found 10% of 60.

Hope this helps :)

4 0

3 years ago

Read 2 more answers

What is true of triangle FGH

AVprozaik [17]

The angles will add up to 180 degrees.

7 0

3 years ago