Find the explicit formula for a 1 =-4,a n =a n-1 +9,n>=2

Answers

Answer 1

Given:

[tex]a_1=-4[/tex] and [tex]a_n=a_{n-1}+9[/tex] where [tex]n\geq 2[/tex].

To find:

The explicit formula for the given recursive formula.

Solution:

We know that recursive formula of an AP is:

[tex]a_n=a_{n-1}+d[/tex]

Where, d is the common difference.

We have,

[tex]a_n=a_{n-1}+9[/tex]

Here, d=9.

The first term of the AP is [tex]a_1=-4[/tex].

The explicit formula for an AP is:

[tex]a_n=a_1+(n-1)d[/tex]

Substituting [tex]a_1=-4[/tex] and [tex]d=9[/tex], we get

[tex]a_n=-4+(n-1)9[/tex]

[tex]a_n=-4+9n-9[/tex]

[tex]a_n=-13+9n[/tex]

Therefore, the required explicit formula for the given sequence is [tex]a_n=-13+9n[/tex].


Related Questions

Please look at the picture I need help please answer!!!!???

Answers

Answer:

16t

Step-by-step explanation:

Answer:

The answer is 8 tons.

16,000 lbs = 8 T

DUE TODAY!! Which number could be considered an outlier in the data set {3,5,6,8,24}?

6
3
5
8
24

Answers

Answer:

24

Step-by-step explanation:

all the other numbers are not that far in range from each other but 24 is way off so its the outlier

Please help I have no idea how to answer this question

Answers

Answer:

n = 3

Step-by-step explanation:

plug in 3 for n in the equation:

Numerator: n + 1 = 3 + 1 = 4

Denominator: 2^n = 2^3 = 2 * 2 * 2 = 4 * 2 = 8

Simplify the fraction. Divide common factors from both the numerator and denominator:

(4/8)/(4/4) = 1/2

1/2 = 1/2 ∴ n = 3

~

7. These number share the same percentage
increase. Work out the missing value.
£20 and £25
£24 and £___

Answers

Answer: 30

You find the difference and put this over the original price ie. 25-20=5. 5/20= 0.25 so the increase is 25%

24x 0.25= 6
6+24=£30

(Or 24x1.25=30)

Help PLEASE 10pts CMON PEOPLE I NEED TO FINISH THIS TODAY

Answers

Answer:

80=X

95=X

55=X

30=X

you simply add the numbers you have together then subtract that from 180

Alexander is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if he flips a coin and rolls a fair die in the shape of a cube that has six sides labeled 1 to 6?

Answers

Answer:

its 24

Step-by-step explanation:

delta math said it was right

Answer is 12.

Possible Outcomes:

It is a list of all the resulting possibilities from an event.

(Here),

when he flips the coin, there are 2 outcomes = {front, back}

When he rolls a die, there are 6 outcomes = {1, 2, 3, 4, 5, 6)

For every outcomes of coin there are 6 outcomes of a die.

So, Possible outcomes = 2 * 6 = 12.

Learn more about Possible Outcomes here:

https://brainly.com/question/22299224?referrer=searchResults

#SPJ2

Decrease 20g by 12.5%

Answers

Step-by-step explanation:

please follow me

hloooo

Answer:

17.5 g

Step-by-step explanation:

20 g is 100% then a decrease of 12.5% is

100% - 12.5% = 87.5% = [tex]\frac{87.5}{100}[/tex] = 0.875 , then

20g × 0.875 = 17.5 g

which graph represents the function

Answers

I believe the answer is C

Find the value of each variable.

Answers

Answer:

a. a×3= -30

a= -30-3

a= 33

Simplify the expression. Write your answer as a power.
[tex](5^{4} )^{3}[/tex]

Answers

Answer:

[tex]5^{12}[/tex]

Step-by-step explanation:

Lets say there's a number 'x' and there's an expression [tex](x^a)^b[/tex] where 'a' & 'b' are also numbers , the simplified form of the expression is [tex]x^{a \times b}[/tex].

So ,

[tex](5^4)^3 = 5^{4 \times 3} = 5^{12}[/tex]

HELP HAVING A BAD DAY


Roger can finish his math homework in 6 hours. Trish can finish the same homework in 5 hours. What part of the homework will Roger and Trish finish if they work together for x hours?

I WILL REWARD BRAINLIEST FOR THE CORRECT ANSWER

Answers

Answer:

Rodger and Trish will finish the homework together for 30 hours. x=30

Step-by-step explanation:

This is a very simple problem. Its an lcm problem (lcm means lowest common multiple)

To find the lcm you must find the common number the two numbers 5 and 6 share which is 30. Hope that helps, sorry your having a bad day. (i am too bad days suck)

6    5

12   10

18   15

24   20

30   25

       30

And the file the other person shows never work, they are bots (robots) who waste your time answering your questions and waste your brainly points. ugh it gets to annoying.

Roger and Trish can finish 11x/30 of the homework if they work together for x hours.

What is Expression?

An expression is combination of variables, numbers and operators.

Let the total amount of work in the math homework is 1.

In one hour, Roger can finish 1/6 of the work, and Trish can finish 1/5 of the work. So, working together for one hour, they can finish:

(1/6) + (1/5)

= (5/30) + (6/30)

= 11/30 of the work.

If they work together for x hours, then they will finish:

x × (11/30) = 11x/30

of the work in x hours.

Therefore, Roger and Trish can finish 11x/30 of the homework if they work together for x hours.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ3

6a-4b when a=5 and b=3

Answers

Answer:

18

Step-by-step explanation:

Answer:

Use substitution to receive: 18

Step-by-step explanation:

6a - 4b when a = 5 and b =  3

6(5) - 4(3)

30 - 12 = 18

factorise fully :

4(x - y)^2 - 9(x + y)^2​

Answers

Answer:

- ( 5x + y ) ( x + 5y )

or

-5x^2 - 5y^2 - 26xy

Answer:

Step-by-step explanation:

4(x^2-2xy+y^2)-9(x^2+2xy+y^2)

4x^2-8xy+4y^2-9x^2-18xy-9y^2

-5x^2-26xy-5y^2

-5x^2-xy-25xy-5y^2

-x(5x+y)-5y(5x+y)

(-x-5y)(5x+y) or you can also remove the negative one to get

-(x+5y)(5x+y)

A shipping company places circular labels on all of their products. Each label measures a 4 inch radius. If the company order 10 label, how many square inches are needed? Use 3.1 for π.

Answers

Answer:502.4 Square inches are need.

Step-by-step explanation:

I need help!! 100 points! Please don't scam, I will report and take away these points!

Answers

Answer:

A angle 7 is 6 inches

B angle 8 is 7 inches and 5 inches wide

C angle 3 is an obtuse angle, 6 inches and 9 inches wide

What am I supposed to do in this assignment

Answers

Answer:

Do it

Step-by-step explanation:

Answer:

um srry i dont know hope you have a good day get a good grade and stay safe

Step-by-step explanation:

8
Martiza is measuring the effect a fertilizer on a field of soybeans has on the local butterfly population.
Based on her data collection, the population of butterflies in the field can be modeled by the function P(d) = 250(0.89)" where d is the number of days the
fertilizer has been applied.
Which statement best describes how the population of butterflies is changing?
>
It is increasing by 89% for each application.
B It is decreasing by 89% for each application
It is increasing by 11% for each application.
It is decreasing by 11% for each application
O 09:10

Answers

It is increasing by 11% for each application.

What is the correct i need help
Plz

Answers

The function is linear because y increases at a constant rate.

(x^2+8x+16)-1-16

what is the vertex form

Answers

Answer:

Use photo math, it will explain it all in different forms

Can someone help me please
I will give brainiest
don’t need to show work

Answers

Answer:

I believe x=2

Step-by-step explanation:

3x-6=-4x+8

7x=14

x=2

1+1=2 is equal x=2 I hope it help

Tracy bought a new silk shirt. The shirt is on sale for 20% off the original price. If the original price was $56, what is the sales price of the shirt.
Group of answer choices
$11.20
$48.80
$44.80
$38.80

Answers

Answer:

$44.80

Step-by-step explanation:

$56 * 0.2 (%20) = $11.20

$56 - $11.20 = $44.80

7p+5q+4p-2q what is the result of combining the like terms

Answers

Answer:

11p+7q

Step-by-step explanation:

The set of even numbers that can be be divided by 3 is

Answers

a number is divisible by 3 if the sum of its digits is divisible by 3. 375, for instance, is divisible by 3 since sum of its digits (3+7+5) is 15. And 15 is divisible by 3. 1+2=3 and 3 is divisible by 3

Answer:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ect

Step-by-step explanation:

keep adding 3+3, then 3+6 and so on, then when you go as far as you want, look back at all the even numbers

What is the equation of the line that goes through the points (4,-1) and
(2,3)?

Answers

Answer:

y = -2x + 7

Explanation:

y = mx + b

m = slope

b = y-intercept

y = a given y coordinate

x = a corresponding x coordinate

First, we need to find the slope (m).

1) (4, -1)

2) (2/3)

m = slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{3-(-1)}{2-4}[/tex] = [tex]\frac{4}{-2}[/tex] = -2

plug in the values to the equation y = mx + b

-1 = -2(4) + b

-1 = -8 + b

7 = b

now, we can substitute in m and b into the equation y = mx + b

y = -2x + 7

I need help pls

I WILL GIVE BRAINLIEST
Pls help

Answers

Answer:

1. The square root of 100

2.c=27.11

d=13.96

e=12.6

Step by step explanation:

1. 2×50=100 the geometric mean is the square root of 100

2. The diagram is made up of three right angled triangles the big outer one and two triangles inside the big one thus we can use the pythagorean theorem to come up with expressions which will help us in solving the unknown parts as below.

c²=30²-d²

c²=e²+24²

d²=e²+6²

both the following add up to c² meaning they are equal:

c²=30²-d²

c²=e²+24²

thus

30²-d²=e²+24²

I want to remain with d² only thus;

30²-24²-e²=d²

900-576=324 (squareroot of 324=18) so

d²=18²-e² and d²=e²+6²

both the above add up to d² meaning they are equal thus;

18²-e²=e²+6²

18²-6²=e²+e²

324-36=2e²

318=2e²

159=e²

e=12.61

Thus d²=e²+6²

d²=12.61²+6²

d²=159+36

d²=195

d=13.96

c²=e²+24²

c²=12.61²+24²

c²=159+576

c²=735

c=27.11

I hope this helps

you deposit $50 in checks in your account with $100 cash amount, what is your total deposit? (answer in only numbers) $


I’ll give brainiest

Answers

Its 150 dollars because your adding 50 +100

Someone needed help with these questions, I couldn't answer it since two people are already answering it soo... Please help him/her!

Answers

First Question:

Follow PEMDAS

Parentheses, Exponents, Multiplication or Division, Addition or Subtraction

3 ÷ [tex]\frac{1}{4}[/tex] × (12 + 2³)

= 3 ÷ [tex]\frac{1}{4}[/tex] × (12 + 8)

= 3 ÷ [tex]\frac{1}{4}[/tex] × (20)

= 3 × 4 × 20

= 12 × 20

= 240

Second Question:

change the mixed number into an improper fraction:

[tex]3\frac{2}{3}[/tex] = [tex]\frac{11}{3}[/tex]

= [tex]\frac{11}{3}[/tex] ÷ [tex]\frac{3}{4}[/tex]

= [tex]\frac{11}{3}[/tex] × [tex]\frac{4}{3}[/tex]

= [tex]\frac{44}{3}[/tex]

rounded to WHOLE number: 14 containers


PLEASE ANSWER THIS
imagine is above
Figure 3 shows the electronic structure of an atom.
Figure 3
Electron
Nucleus
RON
This element is in the shaded group on Figure 2.
Why is this element unreactive?

Answers

Answer:

huh looks simple....it's unreactive because it's already stable

Step-by-step explanation:

it has eight electrons in the outer most energy level making it stable so it doesn't need to loose or gain electrons

What’s the answer to this?

Answers

Answer:

<D is congruent to <B

Step-by-step explanation:

They both have the 3 lines indicated on them

write the equation of a line that is parallel to 2x-5y=-20 and passes through the point (7,6)

Answers

Answer:

I guess the answer is 0.4x+3.2=y (0.4 equals to 2/5 ) .

Other Questions
PLZ HELPPP!!!!!!!!!!!What helped Michelle Washington transition/heal her anxiety/fear when she started at a new school after moving from Detroit, Michigan? Explain. (Response should be 1-2 well-written paragraphs in length. Cite evidence from the text to support your ideas/claims.)The text is below! :D 14 - 2(11 - 5) + [tex]7^{2}[/tex]= If you were an athletic trainer and you are in a football match and suddenly the running back got an injury in his hip, and is in the ground in so much pain, what would you do? And what you should not do? give a analysis of Kabuliwala short story by Rabindranath Tagore HELP! I'll give brainliest. I'm trying to help my brother and he is failing so please help me. Just..Please?!!!!!!Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.Find the lateral area the regular pyramid Where did the first organized student opposition to the Vietnam War take place?A) Kent State University B) SaigonC) University of Michigan D) Woodstock PLEASE HELP! 20 POINTS!! Explain how genes relate to the presence of dominant and recessive traits Wat was your most embarrassing moment explain wat u learn and have it made u a better person Tell whether each pair of angle measurements are complementary, supplementary or neither. 36,24 18,72 96,84 Whoever responds first will get marked Best! No links or else I will ban you!Mary is using a triangular piece of cloth to make a scarl for her teddy bear. The base of the scarf is 18 cm and height is 12 cm. How many squarecentimeters of cloth does Mary have? I really need help with the radius,diameter and area off circles and halfcircles please help NO LINKS I WILL REPORT YOU ( i will also mark brainliest) Select the correct facts about Swaziland. It is a small kingdom. Its main export is diamonds. Cash crops include corn, cotton, and rice. The people select a prime minister. Bills passed by the legislature must be approved by the king. -2(x+2)=1/4(-8x-4) how many solutions does this have When Macbeth says "The adult snake is dead. But the worm that's escapedwill mature and become venomous in time-- he has no teeth at themoment," Who is he referring to?BanquoMalcomFleanceMacduff Beginning with the Crusades, European nations worked to spread Christianity. Beginning in the 16th century, they focused their efforts on the Americas. How was this drive to spread Christianity different from the Crusades? work out 56 - 8 2 The temperatures at 6:00 am one morning in four cities are given below.Paris-5 COslo-12 C-3CLondonBrussels-1 Ca) Which city was the warmest?Brusselsb) Give the difference in temperature between Oslo and London.CAt 6:00 pm, the temperature in Paris was 3C higher than at 6:00 am.c) What was the temperature at 6:00 pm in Paris?C What tactic did the Viet Minh soldiers rely on during the Indochina War?mercenariesbombardmentguerilla warfaretrench warfare Write the methods and forms of Telangana movement.