which is the explicit formula for the sequence above?

Which Is The Explicit Formula For The Sequence Above?

Answers

Answer 1

Answer:

aₙ=5*4ⁿ⁻¹

Step-by-step explanation:

The common ratio is r=80/20=20/5=4

The explicit formula for a geometric sequence is aₙ=a₁*rⁿ⁻¹ where aₙ is the nth term, r is the common ratio, and a₁ is the first term.

Given:

a₁=5

r=4

Therefore, the explicit formula for the sequence is aₙ=5*4ⁿ⁻¹


Related Questions

i need help with this asap
decide whether each if the pairs if angles given and illustrated are
alternate exterior
alternate interrior
correspondkn
vwrtical
1,2,3,4,5,6​

Answers

Answer: i think its alternate interior

HELP REALLY QUICK PLEASE

Answers

Answer:

The answer is 140

The yellow part which is shaded is 14x10 which equals 140

PLEASE HELP!! I will make you brainiest and give you 5 stars if you help me!

Answers

Answer:

D

Step-by-step explanation:

You multiply each coordinate by 1/4 to get the new coordinates of the triangle

I hope this helps you

No desenvolvimento da multiplicação 2 × (4+7) = 2 × 4 + 2 × 7 = 8 + 14 = 22, qual propriedade fui utilizada?

Answers

Answer:

Propiedad distributiva de la multiplicación sobre la suma

Step-by-step explanation:

Spanish

Propiedad distributiva de la multiplicación sobre la suma

2 × (4 + 7)

Aquí vemos que el número 2 se multiplica por 4 y 7

2 se distribuye a 4 y 7

= 2 × 4 + 2 × 7

Después de la multiplicación se suman ambos

= 8 + 14 = 22

Esta propiedad se llama propiedad distributiva de la multiplicación sobre la suma.

English

No development of multiplication 2 × (4 + 7) = 2 × 4 + 2 × 7 = 8 + 14 = 22, which property was used?

Distributive property of multiplication over addition

2 × (4 + 7)

Here we see that the number 2 is multiplied with both 4 and 7

2  is distributed  to both 4 and 7

= 2 × 4 + 2 × 7

After multiplication both are added

= 8 + 14 = 22

This property is called distributive  property of multiplication over addition.

Help please. No links

Answers

Answer:

C

Step-by-step explanation:

The question is asking which one is equal to the absolut value of 12. The absolute value of -12 equals 12, so it is the same as the absolute value of 12.


Aeryn spent 5 days building a
brick wall that had 100 bricks in
it. She got better each day and
managed to lay 4 more bricks
than the previous. How many
bricks did she lay her first day?

Answers

Aeryn laid 12 bricks on her first day.
12+16=28, 28+20=48, 48+24=72, 72+28=100
Day 1: 12
Day 2:28
Day 3:48
Day 4:72
Day 5:100

i need help as soon as possible the answers are
7
102
14
51

Answers

Answer:

The length of diagonal TU is 102 units

Step-by-step explanation:

Mathematically, the diagonals of a parallelogram bisect each other

This means that the lengths on either of the either of the sides are equal

Mathematically, we have it that;

7x + 2 = 6x + 9

7x - 6x = 9-2

x = 7

The diagonal TU has the measure of ;

(7x + 2) + (6x + 9)

7x + 6x + 2 + 9

= 13x + 11

substituting the value of x, we have

13(7) + 11

= 102

if the central angle is 3pie/4 and the radius is 13 what's the arc length

Answers

Answer:

The arc length is 9.75 pi units

Step-by-step explanation:

Mathematically, we use the formula below to get the length of an arc

Length of an arc is;

theta/360 * 2 * pi * r

where theta is the central angle

for 3pi/4 ; let us convert to degrees

The degree measure is 180 degrees for pi

so 3pi/4 will be (3 * 180)/4 = 135 degrees

So we have the arc length as follows;

135/360 * 2 * pi * 13 = 9.75 pi unit

can someone please help me​

Answers

The answer is Y= -3/4x plus 3

Can one of y’all help me pls

Answers

Answer:

D) x - 7 + 3

Step-by-step explanation:

gave sister = subtract

aunt gave = addition

Equation:

x - 7 + 3

Overclocked Game Design is developing a new video game and wants to determine how large the rectangular map that constitutes the game world will be. They want the width of the map to be x miles and the length to be x+4 miles. Write an equation to represent the area A of the map.

- Select the equation that represents the area of the map in terms of x.
A)
A=x2


B)
A=2x+4


C)
A=4x2


D)
A=x(x+4)

Answers

Answer:

D)

A = x(x + 4)

Step-by-step explanation:

Area of a rectangular map = width × length

Length of the rectangular map = (x + 4) miles

Width of the rectangular map = x miles

Area of a rectangular map = width × length

= x(x + 4)

= x² + 4x

D)

A = x(x + 4)

x2 + 7y if x = -5 and y = -8

Answers

Answer:

x2 + 7y = -64 (if x = -5 and y = -8)

Step-by-step explanation:

x2 + 7y

(-5 × 2) + (7 × -8)

-10 + -54 which is the same as -10 - 54

-64

The value of expression x² + 7y at x = - 5 and y = - 8 is, - 31.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ x² + 7y

And, x = - 5 and y = - 8

Now, Substitute the value of x and y in the expression, we get;

⇒ x² + 7y

⇒ (-5)² + 7×- 8

⇒ 25 - 56

⇒ - 31

Thus, The value of expression is, - 31.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

I’m on a time limit and I really have no clue what this is. Please help!!!!

Answers

Answer:

2/8

Step-by-step explanation:

I think, I am not sure

find the value of x and find the value of the angle with a star in it​

Answers

Answer:

x = 25

angle measure = 55

Step-by-step explanation:

The two angles are supplementary

2x+5+5x = 180

7x+5 = 180 subtract 5 from both sides

7x = 175 divide both sides by 7

x = 25 to find the angle with the star replace x with 25

25*2 + 5 = 55

helpoooooo please hhhb

Answers

Answer:

Step-by-step explanation:

that vector is in the 4th quadrent. This means that it will be between 270 and 360 degrees.

setting up directions over the graph (like a compass), the vector would be between East and South  

using the diagram below it would most likly be south of east and 350 degrees

I need help !!asap......​

Answers

Answer:

65 degrees

Step-by-step explanation:

I recently answered a question in detail that was similar to this one. Feel free to look at my answered questions for it.

For this one, the easiest way to think about it is this. The line on which both angle 4 and angle 1 sit is a straight line, that makes them supplementary angles which is just a fancy word that means if you add them together they equal 180.

(angle 4) + (angle 1) = 180

And if (angle 1) = 115, then that means

(angle 4) = 180 - 115

(angle 4) = 65

Are the two figures below similar?

Answers

Answer:

No

Step-by-step explanation:

While both legs of the triangle are similar with a ratio of 3:4, the hypotenuses of the triangles have a ratio of 8:11

Una empresa de elaboración de helados es capaz de producir 800 litros de helado de tres leches, con 8 máquinas en 42 minutos. Si fallaran dos de las máquinas, pero debieran mantener la producción de helado ¿Cuánto tiempo tardarían?

Answers

Answer:

I dont understand spanish!

Step-by-step explanation:

What is the probability of rolling a 3 on a 6-sided 8)
number cube and then NOT rolling a 3 on a 6-
sided number cube?

Answers

Answer:

the chances of rolling a 3 are 1/6

the changes of not doing it is 5/6

Mr. Pennington had a board 2 1/4 feet long. He
used 21 inches. How much of the board did he
have left?

Answers

Me. Pennington had 6 inches left over.

Explanation.
2 1/4 feet is equal to 27 inches. If he used 21 inches, then he'd had 6 inches left over; 27-21=6.

Have a good day!

What is the value of v?

Answers

The volume of the cube is 4,913 cubic millimeters. In order to find out the value of V, we must find the cube root of 4913, which is 17 = V.

V = 17

I need help please thank you

Answers

Answer:

1) 4x^2-x+1

2) -4x^2+3x

3) 6r^3 - 15r

Step-by-step explanation:

Triangle ABC is congruent to triangle A′′B′′C′′ . Which sequence of transformations could have been used to transform triangle ABC to produce ​ triangle A′′B′′C′′ ​ ? ​ Triangle ABC ​ was translated 10 units right and then reflected across the x-axis. ​ Triangle ABC ​ was reflected across the y-axis and then translated 7 units down. ​ Triangle ABC ​ was reflected across the x-axis and then translated 9 units right. ​ Triangle ABC ​ was translated 7 units down and then 9 units right. A coordinate graph with triangle A B C and triangle A double prime B double prime and C double prime. Triangle A B C has points at A begin ordered pair negative 6 comma 2 end ordered pair, B begin ordered pair negative 3 comma 6 end ordered pair, C begin ordered pair negative 3 comma 2 end ordered pair. Triangle A double prime B double prime C double prime has points at A double prime begin ordered pair 6 comma negative 5 end ordered pair, B double prime begin ordered pair 3 comma negative 1 end ordered pair, C double prime begin ordered pair 3 comma negative 5 end ordered pair.

Answers

Answer:

The answer is B

Step-by-step explanation:

Triangle ABC was reflected across the y-axis and then translated 7 units down.

pls help solve this math problem​

Answers

Step-by-step explanation:

the answer is 3 following triangle law

CAN SOMEONE PLEASE HELP

Answers

Answer:

The first one.

Step-by-step explanation:

The symbol that you are comparing the numbers with is equal two or greater than and you have to be 48 inches or taller.

Given a bag of 4 red marbles, 5 blue marbles & 6 green marbles, find the probability of drawing a blue marble, replacing it, and then drawing a green marble.

Answers

Answer:

15

Step-by-step explanation:

Given f(x)=2x^2+1 and g(x)=3x−5 , find the following. g(f(x))

Answers

9514 1404 393

Answer:

  g(f(x)) = 6x^2 -2

Step-by-step explanation:

Evaluate the expression using the given argument value.

  g(f(x)) = g(2x^2 +1) = 3(2x^2 +1) -5

  = 6x^2 +3 -5 = 6x^2 -2

__

  g(f(x)) = 6x^2 -2

find hcf of 3x²+7x-6 and 2x²+7x+3​

Answers

Given:

The expression are:

[tex]3x^2+7x-6[/tex]

[tex]2x^2+7x+3[/tex]

To find:

The HCF of the given expression.

Solution:

We have,

[tex]3x^2+7x-6[/tex]

[tex]2x^2+7x+3[/tex]

The factor form of given expressions are:

[tex]3x^2+7x-6=3x^2+9x-2x-6[/tex]

[tex]3x^2+7x-6=3x(x+3)-2(x+3)[/tex]

[tex]3x^2+7x-6=(x+3)(3x-2)[/tex]

Similarly,

[tex]2x^2+7x+3=2x^2+6x+x+3[/tex]

[tex]2x^2+7x+3=2x(x+3)+1(x+3)[/tex]

[tex]2x^2+7x+3=(x+3)(2x+1)[/tex]

From the factor forms it is clear that the factor [tex](x+3)[/tex] is common.

Therefore, the HCF of given expressions is [tex](x+3)[/tex].

HELP ASAP GEOMETRY CIRCLES 10TH GRADE

Answers

Answer:

a): 68

b): 32

Step-by-step explanation:

In a triangle, there is a total of 180 degrees

We are given 2 out of the 3 angles, 54 and 58 degrees

180-54-58= 68 degrees

In the other angle, both lines form a 90-degree angle

We are given 58 degrees, so the rest must be 32.

pleaseeeee pleaseeee helppppppppp​

Answers

Given:

The two vectors are:

[tex]\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}[/tex]

[tex]\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}[/tex]

To find:

The value of [tex]|\overrightarrow{a}\times \overrightarrow{b}|[/tex].

Solution:

We have,

[tex]\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}[/tex]

[tex]\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}[/tex]

The cross product of these two vectors is:

[tex]\overrightarrow{a}\times \overrightarrow{b}=\begin{vmatrix}\hat{i}&\hat{j}&\hat{k}\\2&-1&1\\1&-3&5\end{vmatrix}[/tex]

[tex]\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[(-1)(5)-(1)(-3)]-\hat{j}[(2)(5)-(1)(1)]+\hat{k}[(2)(-3)-(-1)(1)][/tex]

[tex]\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[-5+3]-\hat{j}[10-1]+\hat{k}[-6+1][/tex]

[tex]\overrightarrow{a}\times \overrightarrow{b}=-2\hat{i}-9\hat{j}-5\hat{k}[/tex]

Now the magnitude of the cross product is:

[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{(-2)^2+(-9)^2+(-5)^2}[/tex]

[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{4+81+25}[/tex]

[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{110}[/tex]

Therefore, the value of [tex]|\overrightarrow{a}\times \overrightarrow{b}|[/tex] is [tex]\sqrt{110}[/tex].

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