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3 years ago

Consider the sequence:

Mathematics

1 answer:

Ket [755]3 years ago

7 0

Answer:

a_n = 3 + a_n − 1 a_ n = 3 + a_ n − 1

Step-by-step explanation:

The first term is 8, so a_1 = 8

Each time we want a new term, we add on 3

8+3 = 11

11+3 = 14

14+3 = 17

17+3 = 20

23+3 = 26

and so on

This recursive step of adding on 3 to the prior term is written as this: an = 3+a_n-1 which says "to get the nth term, add 3 to the term just before the nth term"

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X-7=7-x find solution

adell [148]

Answer:

Step-by-step explanation:

x-7=7-x

2x-7=7

2x=14

x=7

6 0

3 years ago

Read 2 more answers

Anika is hiking on a rectengular trail at the nation park there are four resting spots along the corners of the trail on the map

Drupady [299]

Answer:

The perimeter is 14 units

Step-by-step explanation:

Given

$A = (-2,2)$

$B = (1,2)$

$C = (1,-2)$

$D = (-2,-2)$

Required

Determine the perimeter

To do this, we simply calculate the distance between the sides of the rectangle i.e. AB, BC, CD and DA.

Distance (d) is calculated using:

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

For AB

$A = (-2,2)$ --- $(x_1,y_1)$

$B = (1,2)$ --- $(x_2,y_2)$

$AB = \sqrt{(-2 - 1)^2 + (2 - 2)^2} = \sqrt{9} = 3$

For BC

$B = (1,2)$ --- $(x_1,y_1)$

$C = (1,-2)$ --- $(x_2,y_2)$

$BC = \sqrt{(1-1)^2 + (2--2)^2} = \sqrt{16} = 4$

For CD

$C = (1,-2)$ --- $(x_1,y_1)$

$D = (-2,-2)$ --- $(x_2,y_2)$

$CD = \sqrt{(1 - -2)^2 + (-2 -- 2)^2} = \sqrt{9} = 3$

For DA

$D = (-2,-2)$ --- $(x_1,y_1)$

$A = (-2,2)$ --- $(x_2,y_2)$

$DA = \sqrt{(-2--2)^2 + (-2-2)^2} = \sqrt{16} = 4$

So, the perimeter (P) is:

$P = AB + BC + CD + DA$

$P = 3 +4 + 3 + 4$

$P = 14$

<em>The perimeter is 14 units</em>

5 0

3 years ago

Let X1, · · · , Xn be independent identically distributed random variables with probability density function f(x) = 1 2σ exp − |

Igoryamba

Answer:

σˆ =

sPn

i=1 X2

Step-by-step explanation:

To obtain, the maximum likelihood ratio, we use the following method.

l(σ) = Xn

i=1 "

− log 2 − log σ −

|Xi

Let the derivative with respect to θ be zero:

(σ) = Xn

i=1 "

−

|Xi

= −

i=1 |Xi

= 0

and this gives us the MLE for σ as

σˆ =

i=1 |Xi

Again this is different from the method of moment estimation which is

σˆ =

sPn

i=1 X2

As our answer

8 0

3 years ago

How do you convert a decimal to a fraction?

zheka24 [161]

Answer:

Step 1: Write down the decimal divided by 1, like this: decimal 1.

Step 2: Multiply both top and bottom by 10 for every number after the decimal point. ...

Step 3: Simplify (or reduce) the fraction.

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers

What is -18x - x = 5x -6 PLEASE ANSWER CORRECTLY IT IS MY HOMEWORK

uysha [10]

Answer:

$\large\boxed{x=\dfrac{1}{4}}$

Step-by-step explanation:

$-18x-x=5x-6\\\\-19x=5x-6\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\-19x-5x=5x-5x-6\\\\-24x=-6\qquad\text{divide both sides by (-24)}\\\\\dfrac{-24x}{-24}=\dfrac{-6}{-24}\\\\x=\dfrac{6:6}{24:6}\\\\x=\dfrac{1}{4}$

7 0

3 years ago