Write an explicit rule and a recursive rule for each sequence

Write An Explicit Rule And A Recursive Rule For Each Sequence

Answers

Answer 1

Answer:

[tex]a_{n}[/tex] = 1.3n - 4.7

Step-by-step explanation:

There is a common difference d between consecutive terms

d = - 2.1 - (- 3.4) = - 0.8 - (- 2.1) = 0.5 - (- 0.8) = 1.8 - 0.5 = 1.3

This indicates the sequence is arithmetic with nth term ( explicit rule )

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3.4 and d = 1.3 , then

[tex]a_{n}[/tex] = - 3.4 + 1.3(n - 1) = - 3.4 + 1.3n - 1.3 = 1.3n - 4.7

A recursive rule allows a term in the sequence to be found by adding d to the previous term, that is

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 1.3 : a₁ = - 3.4


Related Questions

Does anyone wanna ta lk? im pretty bo red at the moment

Answers

Answer:

No thanks

Step-by-step explanation:

Answer:

sure what up?

Step-by-step explanation:

You decide that you want to make a lighter purple paint. You make the new mixture by adding 1/4​​ cup of white paint for every 1/4​​ cup of red paint and 1/2​​ cup of blue paint. How much red paint, blue paint, and white paint do you use to make 1 1/2​​ gallons of the lighter purple paint?

Answers

Answer:

Cups of white paint = 24 * 1/4 = 6 cups

Cups of red paint = 24 * 1/4 = 6 cups

Cups of blue paint = 24 * 1/2 = 12 cups

Step-by-step explanation:

1/4 cup of white paint is added for every :

1/4 cup of red paint and 1/2 cup of blue paint :

1 gallon = 16 cups

1 1/2 gallons = 16 + 8 = 24 cups

To make 1 cup of lighter purple paint ;

1/4 cup of white + 1/4 cup of red + 1/2 cup of blue

Therefore ;

To make 24 cups of lighter purple paint :

Cups of white paint = 24 * 1/4 = 6 cups

Cups of red paint = 24 * 1/4 = 6 cups

Cups of blue paint = 24 * 1/2 = 12 cups

Ron measured the radius of a quarter to be 11 millimeters. Which expression can he use to
find the circumference of the coin?

Answers

Answer:

2x11xpie

Step-by-step explanation:

Find the image of the point under a
dilation centered at (0,0) with the given
scale factor.
(-4,7)
Scale Factor = 0.2
([?], []).

Answers

Answer:-.8,1.4

Step-by-step explanation:Had this question on my exam hope I helped:))

A parabola can be drawn given a focus of (1, 10) and a directrix of
y = 4. What can be said about the parabola?

Answers

Answer:

The parabola has an absolute minimum and its vertex is located at (1, 7).

Step-by-step explanation:

Since the directrix is below the focus, we infer that parabola has an absolute minimum, where there is a vertex, which is the midpoint of the line segment between (1, 10) and (1, 4). By definition of midpoint, we conclude that vertex is located at (1, 7).

Use SAS to explain why ΔABC ≅ ΔEDC

Answers

Ac=cE
Dc=cB
The angle C is common between two triangles
So ABC=EDC

PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ

Answers

Answer:

find the area of sercomfrance

Step-by-step explanation:

Please please ASAP ASAP please ASAP thank you so much I will give brainies no links or files

Answers

Answer:

I got you!

1. B.

2. D.

3. C.

4. E.

5. A.

Step-by-step explanation:

PLEASE!!! I need this turned in tonightttt

Answers

Answer:

8 like I'm trying maybe I'll be good at math someday

Step-by-step explanation:

hehe

Can someone lz hel me with the math.

Answers

Answer:

i think it would be 55

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

90 - 35 = 55

pls help write a rule to represent the sequence then b find a to 9th -8, -16, -32, ...

help will mean alot to me

Answers

Answer:

x2

Step-by-step explanation:

This sequence starts with -8, and is being multiplied by 2 every term

PLEASE HELP IM TIMED ON THIS!!!



After simplifying, what will x be equivalent to?
a^9/a^2=a^x

Answers

Answer:

x = 7

Step-by-step explanation:

Hope this helps! : )

B. the sum of
1/5
of m and
2/5
of m

Answers

Answer: 0.6 meters

Step-by-step explanation:

help meeeee. what does x equal?

Answers

Answer:

[tex]x = 25 \degree \: (alternate \: interior \: angles)[/tex]

Answer:

25 degrees because the angle right on the other side is also 25 degrees

pls tell me what is 10+10

Answers

Answer: it’s 20 hope this helps:)

Step-by-step explanation:

Answer

The answer is 20

If Sin A = .3642, find the measure of Angle A to the nearest degree.

Answers

Answer:

the measure of angle A to the nearest degree is 36°

The measure of angle A to the nearest degree is 21°.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

We can use the inverse sine function (denoted as sin⁻¹ or arcsin) to find the measure of angle A:

sin A = 0.3642

Taking the inverse sine of both sides, we get:

A = sin⁻¹(0.3642)

Using a calculator, we get:

A ≈ 21.3°

Rounding to the nearest degree, we get:

A ≈ 21°

Therefore,

The measure of angle A to the nearest degree is 21°.

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8(2x + 3) = PxQ
A. ¿Para cuáles valores de PyQ la ecuación tiene una infinidad de soluciones?
B. ¿Para cuáles valores de PyQ la ecuación no tiene solución?
Recuerda contestar todas las partes de la pregunta en el espacio provisto.​

Answers

Respuesta:

P = 16; Q = 24

P = 0; Q = 0

Explicación paso a paso:

Dada la relación:

8 (2x + 3) = Px + Q

Abra el soporte

16x + 24 = Px + Q

Los valores de P y Q para los que la ecuación tiene infinidad de solución:

Px = 16x

Q = 24

Por tanto, en P = 16; Q = 24, la ecuación tiene infinidad de soluciones.

Valores de P y Q para los que la ecuación no tiene solución:

Px = 0; P = 0

Q = 0

Por tanto, los valores de P y Q para los que la ecuación no tiene solución es 0

There are 86,400, frames of animation in 1 hour of anime. How many frames are there per second? There are 3,600 seconds in 1 hour.

Answers

I believe 18,00000 is your answer

Answer:

24

Step-by-step explanation:

Since there are 3,600 seconds in 1 hour, there are 3,600 times fewer fracmes in a second than in 1 hour.

86,400/3,600 = 24

(3.6x10^8) divided by (9x10^3)

Answers

Answer:

Step-by-step explanation:

The answer is 40000

Help on this problem please!!

Answers

Answer:

points (8, 0) and (3, 0)

Step-by-step explanation:

Here we're being asked to find the roots of this quadratic equation.

Set f(x) = 3(x² - 11x + 24 = 0.

This factors into f(x) = 3(x - 8)(x - 3) = 0.

Then x - 8 = 0 and x - 3 = 0, yielding x = 8 and x = 3.  These correspond to the points (8, 0) and (3, 0).

100 POINTS
please help !

Answers

Answer:

wjwjwjwjuwuwuwuueuejsnsjjdjejejenekjekekeikw

Answer:

do it yourself

Step-by-step explanation:

Stop cheating

At a fastfood, 28 burgers are being ordered for every 7 customers. The number of burgers being ordered is directly proportional to the number of customers.

What is the constant of proportionality that relates the number of burgers ordered to the number of customers?

1/4
1/7
4
7

Answers

The constant proportionality is 4

Find the value of a from given figure.​

Answers

Answer:

45°

Step-by-step explanation:

three angles in a triangle sum up to 180

90° + a + a = 180°

90° + 2a = 180°

2a = 180°-90°

2a = 90°

a = 45°

I need help with this​

Answers

Answer:

x3x3zexfvvfxrcybubyx3zrcyn

What is the area of the triangle to the left?
80.4 sq. in
72 sq. in
40.2 sq. in
36 sq. in

Answers

You didn’t list a picture of the triangle

Answer:

There is no image

Step-by-step explanation:

Which graph does not represent a function

Answers

Answer:

The graph that does not represent a function is;

The first graph of the circle

Step-by-step explanation:

A function is a relationship, rule or law that maps the inputs 'x' the input set 'X' known as the domain, to exactly one output 'y' in the output set 'Y' known as the range

Therefore, a function maps an input to exactly one output

In a graph, the inputs are usually the x-variables, therefore the graph that maps the x-variables (in which an x-variable has) to more than one y-variable is the graph of the circle

In the graph of the circle, we have;

When x = 0 at the origin, y = 0

Similarly

When x = 0 at the maximum point, y = 4

Therefore, the graph of the circle does not represent a function.

10.A recipe that Kyleigh is making requires 3 pounds of flour. If Kylegh wants to triple the recipe,
how many ounces of flour will be needed?

Answers

Answer:

kayleigh will need 9 pounds of flour

HELP
what is 3^9 x 3^5?

Answers

4782969 is the answer

Answer:

[tex]3^{14}[/tex] or 4,782,969

Step-by-step explanation:

Note that the base are the same (3). In this case, when you are multiplying, add the powers together:

[tex]3^9 * 3^5 = 3^{9 + 5} = 3^{14}[/tex].

~

A school principal is trying to decide how long the breaks should be between periods. He plans to time how long it takes several students to get from one classroom to another. Name a tool he could use to collect the data. ​

Answers

he could use a bar graph to plot data

Carlos deposits $250 into a savings account that earns 4% interest added to it annually. How much interest is added at the end of the year?

The O’Neill Raiders fundraiser has raised $700, which is 28% of their total fundraising goal. What is their total goal?

Sameer scored better than 78% of all students taking a standardized exam. If 650 students took the exam, how many did Sameer score better than?

Answers

Yes he is in the car with him he said yes yes I got him a

The interest added at the end of the year is $10, The total goal of O’Neill Raiders fundraiser is $2500 and Sameer scored better than 507 students.

What is Percentage?

Percentage is the parts of a number per fraction of 100. We can divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Initial amount, P = $250

Rate of interest, r = 4% = 0.04

Interest amount = P × r × t, where t is the number of years = 1 here.

                          = 250 × 0.04 × 1

                          = $10

28% of the total fundraising goal = $700

Let x be the total fundraising goal.

28% × x = 700

0.28x = 700

x = 700 / 0.28 = $2500

Total number of students = 650

Sameer scored better than 78% of all students.

Number of students that Sameer scored better = 78% × 650

                                                                               = 0.78 × 650

                                                                               = 507

Hence all the answers are found.

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