All categories

3 years ago

What are the explicit equation and domain for an arithmetic sequence with a first term of 6 and a second term of 2?

Mathematics

1 answer:

Ad libitum [116K]3 years ago

4 0

Hello,

Domain={1,2,3,4,5,6...}

a(1)=6
a(2)=6-4=2
a(3)=2-4=-2=6-2*4
...
a(n)=6-4*(n-1)

You might be interested in

F(x) = 3x<br> g(x) = x2 – 5x - 9<br> Find (fºg)(x).

Eddi Din [679]

Answer:

$\boxed{(f.g)(x) = 3 {x}^{3} - 15 {x}^{2} - 27x}$

Given:

$f(x) = x + 2 \\ \\ g(x) = 3x + 5$

To Find:

$(f.g)(x) = f(x) \times g(x)$

Step-by-step explanation:

$= > f(x) \times g(x) = (3x)( {x}^{2} - 5x - 9) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3x \times {x}^{2} ) - (3x \times 5x) - (3x \times 9)\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 {x}^{3} - 15 {x}^{2} - 27x$

8 0

3 years ago

How many solutions exist for the system of equations graphed below?

Grace [21]

Answer: None

Step-by-step explanation: They are parallel and would never intersect

7 0

3 years ago

Read 2 more answers

Ryan surveyed parents. He found 3 out of every 5 parents vote. 450 parents eligible. How many parents will vote in the election?

Dafna1 [17]

The answer is 150 parents. Because 450/3=150

4 0

3 years ago

What is the approximate surface area of a sphere with a circumference of 37.68

sergij07 [2.7K]

We must find the radius so we can plug this into the formula for surface area.

Circumference = $2 \pi r$
$37.68 = 2 \pi r \\ r = 37.68/2 \pi$

We are going to plug this in as our radius for the most accurate answer.

The surface area of a sphere is $4 \pi r^{2}$

Surface Area = $4 \pi ( \frac{37.68}{2 \pi }) ^{2}$ ≈ 451.93 units

6 0

3 years ago

Find the distance between the points (1,8) and (9, 2).

grin007 [14]

Answer:

$distance = \sqrt{(x_{1} -x_{2})^2+(y_{1} -y_{2})^2 }\\\\$

$=\sqrt{(9-1)^2+(2-8)^2 }\\\\=\sqrt{8^2 + 6^2}\\\\=\sqrt{64 +36 }\\\\=\sqrt{100} = 10units$

6 0

3 years ago