if the first and fifteen terms of A.P. are 8 and -48 respectively, obtain the progression​

Answers

Answer 1

Answer:

8, 4, 0, -4, - 8, .........

Step-by-step explanation:

The n the term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and a₁₅ = - 48, then

8 + 14d = - 48 ( subtract 8 from both sides )

14d = - 56 ( divide both sides by 14 )

d = - 4

To obtain the progression subtract 4 from each term, that is

8, 4, 0, - 4, - 8, ......

Answer 2

Answer:

8, 4, 0, -4, -8, -12, -16, -20,...

Step-by-step explanation:

Arithmetic Progressions

The general term of an arithmetic progression (A.P.) is:

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

Where:

a1  = First term

an = Term number n

n   = Number of the term

r   = Common difference

We are given: a1=8, and a15=-48, n=15. Calculate r:

[tex]\displaystyle r=\frac{a_n-a_1}{n-1}[/tex]

[tex]\displaystyle r=\frac{-48-8}{15-1}[/tex]

[tex]\displaystyle r=\frac{-56}{14}[/tex]

r = -4

We can get the terms of the progression by subtracting 4 to the previous term.

Thus, the first terms of the progression are:

8, 4, 0, -4, -8, -12, -16, -20,...


Related Questions

What is x?

3/5x = 1/3

Thanks for the help!

Answers

Answer: X= 5/9

Step-by-step explanation: divide both sides by 3/5. 1/3 divided 3/5= 5/9

Answer:

5/9

Step-by-step explanation:

1/3 x 5/3 = 5/9

heeeeeeeellllllpppppp quickly​

Answers

Answer:

A

Step-by-step explanation:

The table gives the lowest recorded temperatures in Fahrenheit for each of four cities.

City
Savannah
Atlanta
Rome
Columbus
Temperature
-7.5
-12.0
-17.0
-7.0
Which statement is TRUE according to the table?

Answers

Answer:

b

Step-by-step explanation:

im pretty sure

Lucy went to buy apples, she bought the first two for the full price and the last one for half the price. Is the relationship between the number of apples and the cost proportional? Justify an answer

Answers

No it is not proportional. Since she brought the last apple for 1/2 the price, the equation won’t be linear (straight line) anymore so it won’t be proportional. Proportional means the same unit rate.

Help please! (the is question in the picture)

Answers

Answer:

Side b is 3.19

Information:

The following image has all the lengths solved in the triangle. Also, here are the degrees of the three angles:

∠C is 112 degrees

∠B is 56 degrees

∠A is 12 degrees

Hope this helps and answers you question :)

Factor completely 4x5 − 20x4 − 36x3.
4(x5 − 5x4 − 9x3)
x3(4x2 − 20x − 36)
x2 − 5x − 9
4x3(x2 − 5x − 9)

Answers

Answer:

THE OTHER PERSON IS WRONG IT IS D/4x3(x2 − 5x − 9)

! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !

Step-by-step explanation:

The expression -7y is a

Term

Constant

Variable​

Answers

Answer:

in -7y y is variable and -7 is Constant

Step-by-step explanation:

Constant: A number that cannot change its value. In the expression 2x+4y−9 , the term 9 is a constant. Like Terms: Terms that contain the same variables such as 2m , 6m or 3xy and 7xy

variable is a symbol which functions as a placeholder for varying expression or quantities, and is often used to represent an arbitrary element of a set.

Solve by factoring. Check your answer.
[tex]x^2-4x=0[/tex]

Please show all work. Thanks!!!

Answers

Answer:

x=0 or x=4

Step-by-step explanation:

Lets Solve!

First we need to factor the left side of the equation. Both terms include x.

[tex]x^2-4x =0[/tex]

[tex]x(x-4) =0[/tex]

If we multiplied x by (x-4) we would be back at [tex]x^2-4x =0[/tex].

Set factors equal to 0.

x=0 or x−4=0

x=0 or x=4

Woohoo! Brainliest Appretiated! Hope I helped!

Answer:

[tex]x=0,4[/tex]

Step-by-step explanation:

Factor out the common terms from x²-4x. You can factor out x:

[tex]x(x-4)=0[/tex]

Multiplication can be seen as (_)(_). Rewrite:

[tex](x)(x-4)=0[/tex]

Set both equal to 0:

[tex]x=0\\\\x-4=0[/tex]

Simplify the second equation:

[tex]x-4=0\\\\x-4+4=0+4\\\\x=4[/tex]

So, x=0 or x=4

:Done

Find the slope and the y-intercept of the graph of y
-4/5x - 2

Answers

Answer:

slope - (-4/5)

y- intercept - (0,-2)

Step-by-step explanation:

Answer:

the slope is -4/5 and the y intercept is -2

Step-by-step explanation:

You are the marketing manager for Pointer Plumbing. You are
earning an annual salary of $41,600. You are single and claim
3 allowances. Using the percentage method, what amount is
withheld from your weekly pay for federal income tax?

Answers

Answer:

13866.66

Step-by-step explanation:

you divide

Brainliest please

Is this relation a function?Explain​

Answers

Yep it is Mrs girl or boy

Answer:

Yes it's a function

Step-by-step explanation:

Its a function because the rule of a function is the values of one variable quantity to the variables of another quantity. And that is what the picture shows

4 ounces of instant coffee makes 60 cups how many ounces are needed to make 25 cups

Answers

Answer:12c

Step-by-step explanation:

hey thays ort

Answer:

1.6666666 (you get what i mean)

Step-by-step explanation:

4:60

1: x

x = 15

1 ounce of Instant coffee equals 15 cups

25-15 = 10

10 is 2/3 of 15 so

  1   = 15

+.66 = 10

1.66 = 25

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

this is easy just answer

4x-2+8=
(x=5)

Answers

Answer:

........................................26

The ratio of boys to girls in a camp is 6 to 8. How many girls are there in the camp if there are 96 boys in the camp?

Answers

Answer:

128 girls

Step-by-step explanation:

The ratio of boys to girls is 6 to 8. We need to find how many girls there are if there are 96 boys in the camp. One way to solve this is by using cross multiplication:

[tex]\frac{6}{8}[/tex] = [tex]\frac{96}{x}[/tex]

multiply the 6 by the x: 6x

multiply 8 by 96: 768

6x = 768

divide both sides of the equation by 6 to isolate the x:

6x/6 = 768/6

x = 128

When there are 96 boys in camp, there will be 128 girls.

Answer:

6/8=96/x

Step-by-step explanation:

Please help with the problem below.

Answers

Step-by-step

measure angle 1 is corresponding to measure angle 5

measure angle 5= measure angle 1= 71*

measure angle 5 + measure angle 8 = 180*

71*+ measure angle 8=180*

measure angle 8=109

Answer:

[tex]m\angle5 = 71\degree^{\circ}[/tex],

[tex]m\angle8=109^{\circ}[/tex]

Step-by-step explanation:

Given that [tex]a[/tex] and [tex]b[/tex] are parallel and [tex]m\angle1=71^{\circ}[/tex]:

[tex]m\angle5 = 71^{\circ}[/tex] (Corresponding angles are equal when [tex]a\parallel b[/tex] )

[tex]m\angle8+m\angle5=180^{\circ}[/tex] (The two angles make up the angle of a straight line: [tex]180^{\circ}[/tex]

[tex]m\angle8 + 71^{\circ} = 180^{\circ}[/tex]

[tex]m\angle8 = 109^{\circ}[/tex]

[tex]\therefore m\angle5=71^{\circ};m\angle8=109^{\circ}[/tex]

Hope this helps :)

What is the surface area of the pyramid

Answers

Answer:

The surface area is 31.85 in.

Step-by-step explanation:

Six times a number is greater than 3 less than 4 times the same number.

Answers

Answer:

0 < -3/2x

Step-by-step explanation:

6x > 4x -3

subtract 4x

2x < -3

divide by 2x

help I will mark brainlist

Answers

Answer:

D.) j

Step-by-step explanation:

J because if in one month there is $32 and then in 2 months there are $64 its multiplying 32 times 2 and that gets 64 then 64 plus 32 is 96 then plus 32 again and that gives you 128. Its multiplying 32 times 2 then 32 times 3 then 32 times 4 and that gives you your answer.

Hope this helped!

Original price: $264.91
Markdown: 79%
The sale price is $

Answers

264.91 times .79 is 209.2789
Subtract 209.2789 from 264.91 is 55.6311
The sale price is $55.63

Pleaseeee help!!

In order to solve for x, which trig function would be used?
8
72°
х
o Cosine
o Tangent
o Sine

Answers

Answer:

answer is A. cosine

Step-by-step explanation:

i need help asappppp​

Answers

Answer:

make them all the separate rectangle

like 5*8+5*8+12*(15-8) = Answer

got it ?

Answer:

5*8=40

+5*8=40

+(15-8)= 7*12 =84 + 80

=164

Step-by-step explanation:

ps  happy thanksgiving

pls help
-21 ÷ b = 3, b = ? and uhm this one too
3c + 1 = 10, c = ?

Answers

Answer:

-21 ÷ b = 3, b =        b=-7

3c + 1 = 10, c =        c=1/7

Hope this helps!

Will mark brainliest!!
Parking Garage A charged $3 per hour for parking. Parking Garage B charges a fee of $2 plus $2 per hour for parking.

a) write an equation to represent the charges for both garages

b) what is the solution to the system of equations?

c) what does the solution mean in the context of the situation?

pls help!!!

Answers

a) Garage A = 3x
Garage B = 2x + 2
b) 2x + 2 = 3x
x = 2
c) the solution, 2, means the number of hour which both garages would have the equal amount of cost. In this case, in 2 hours, they would be equal in cost.

Answer:

Answer:

It is not a function because there is a maximum.

Step-by-step explanation:

With 12 as the maximum it will not go on forever and functions do.

and also beware

pLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS!! IF U FIND HIM TELL HIM I WILL FIND HIM!!!!!!!!

If f(x)=3x-4 and g(x)=x2 find the value of f(3)-g(2).

Answers

It’s that Jamal. Did

what is the opposite of -(-15)

Answers

Answer:

-15

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

Its a positive in the first place bc of the two negatives beside each other so the opposite would be -15

Please can someone Help???

Answers

Answer:

Step-by-step explanation:

3). Definition of Congruent Angles

4). Substitution Property of Equality

5). 6x + 14 - 4x = 34 + 4x - 4x    Subtraction Property of Equality

6). 2x + 14 - 14 = 34 - 14   Subtraction Property of Equality

7). x = 10        Division Property of Equality

8). 6(10) + 14 = 74   Substitution Property of Equality

9). 34 + 4(10) = 74   Substitution Property of Equality

10). Angle addition Postulate

11). Substitution Property of Equality

Which of the following angles are congruent to 5?



Answers

Answer:

A) ∠1

Step-by-step explanation:

They are corresponding angles meaning that they are congruent to each other.

The congruent angle of angle 5 is [tex]\angle1[/tex]

Congruent angles:

When a transversal line cuts two parallel lines. the, corresponding and alternate angles are equal.

From given figure, It is observed that,

Corresponding angles are,

      [tex]\angle1 =\angle5,\angle3=\angle7[/tex]

Thus, the congruent angle of angle 5 is [tex]\angle1[/tex]

Learn more about congruent angles here:

https://brainly.com/question/12054594

PLEASE HURRY
what type of number is the square root of -45
all that apply
Select all true statements about 22√.
all that apply
It is an integer.
It is a real number.
It is an irrational number.
It is not a real number.
It is a rational number.

Answers

Answer:

Square root of -45 is a repeating decimal, 6.70820393

It is a real number and It is an irrational number

Step-by-step explanation:

what is the slope perpindicular to line 5x+3

Answers

Answer:

[tex]-\frac{1}{5} x+b[/tex] (b can equal any number- you can use 3)

Step-by-step explanation:

To find the slope, you take mx (in this case 5x), get the number by itself, flip the sign, then get the reciprocal.

5 -> -5 -> [tex]-\frac{1}{5}[/tex]

can someone please help me with math​

Answers

Answer:

[tex]x = 71[/tex]

Step-by-step explanation:

The first step to do is make a single triangle from the problem. That triangle can be BDH. We do still need the line BE, although that can wait.

Now find the last angle of the triangle. The sum of angles of a triangle always equal 180, so we can easuly find the missing angle.

[tex]180 - 40 - 31 = 109[/tex]

So the missing angle is 109°. Now we can find the value of x.

We can use that angle because it sits right next to x on the same line. A line is 180° at any node as long as the line continues straight, so we simply subtract the angle we just found to find x.

[tex]180 - 109 = 71[/tex]

Now we know x is 71

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