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Kazeer [188]
3 years ago
10

What is the explicit formula for this sequence?

Mathematics
1 answer:
kati45 [8]3 years ago
6 0

<em>Greetings from Brasil...</em>

With the recursive formula, lets build the sequence:

A1 = 4

A2 = A1 - 7

A3 = A2 - 7

A4 = A3 - 7

A5 = A4 - 7

(...)

But pay attention to A3....

A3 = A2 - 7   but  A2 = A1 - 7 , so rewriting A3

A3 = (A1 - 7) - 7 ⇒ A3 = A1 + 2.(- 7)

A4 = A3 - 7 ⇒ A4 = [(A1 - 7) - 7] - 7 = A1 + 3.(- 7)

A5 =  {[(A1 - 7) - 7] - 7} - 7 = A5 + 4.(- 7)  

so

<h3>An = A1 + (n - 1).(- 7)</h3>

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What is the slope of a line is parallel to y=(1/2)x=3
aniked [119]
Hi there! The answer is (1/2)

I suppose you mean the slope of a line that is parallel to y = (1/2)x + 3.

This equation is written in slope-intercept form, which means that the number in front of x represents the slope of the line. The other number represents the y-intercept.

A line that is parallel to another line, will be a line with the same slope. Since the slope of y = (1/2)x + 3 is (1/2), the slope of a line parallel to this line is (1/2) as well.

~ Hope this helps you!
8 0
3 years ago
Write a linear equation based on given information. Through (5,-5) and (4,0)
Katena32 [7]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut point with the y axis

We have the following points:

(x_ {1}, y_ {1}) :( 5, -5)\\(x_ {2}, y_ {2}) :( 4,0)

We find the slope:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0 - (- 5)} {4-5} = \frac {5} {- 1} = - 5

Thus, the equation is of the form:

y = -5x + b

We substitute a point and find b:

0 = -5 (4) + b\\0 = -20 + b\\b = 20

Finally, the equation is:

y = -5x + 20

Answer:

y = -5x + 20

6 0
3 years ago
Which shows one way to determine the factors of x3 11x2 – 3x – 33 by grouping? x2(x 11) 3(x – 11) x2(x – 11) – 3(x – 11) x2(x 11
Aloiza [94]

The one way to determine factors of x³  + 11x² – 3x – 33  will be x^2(x+11)-3(x+11)_.

<h3>What is a factorization?</h3>

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The steps involved in the factorization are;

1. For each pair of parentheses, we create a common factor.

2. We use x2 as a common factor for the first parenthesis.

3. We use common factor 3 for the second parenthesis.

x^3  + 11x^2 - 3x -33 \\\\ x^2(x+11)-3(x+11)_

We will find the final solution as x^2(x+11)-3(x+11)_.

Hence the one way to determine factors of x³  + 11x² – 3x – 33  will be x^2(x+11)-3(x+11)_.

To learn more about the factorization refer to the link;

brainly.com/question/24182713

3 0
2 years ago
If 6 people shared 5 blocks of clay evenly, how much would everyone get?
Lena [83]
Divide the number of blocks by number of people In this case 5/6 = 0.83 blocks or each person will get 0.83 or 5/6 of a block
5 0
4 years ago
What is the absolute value of -8? Use the number line to help answer the question
Ad libitum [116K]
The absolute value of -8 is 8
here’s a trick the absolute value of a positive is the same number of its negative it’s the same number but positive
hope it helps
4 0
3 years ago
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