HELP ASAP 40 POINTS

What is the equation for the nth term of the sequence
And what is the 52nd term of the sequence. -8,-12,-16

HELP ASAP 40 POINTS What Is The Equation For The Nth Term Of The Sequence And What Is The 52nd Term Of

Answers

Answer 1

Given:

The sequence is -8, -12, -16.

To find:

The nth and 52th term  of the given sequence.

Solution:

We have,

-8, -12, -16

It is an AP because the difference between consecutive terms are equal. Here, first term is -8 and the common difference is

[tex]r=a_2-a_1[/tex]

[tex]r=-12-(-8)[/tex]

[tex]r=-12+8[/tex]

[tex]r=-4[/tex]

The nth term of an AP is

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

Where, a is first term and d is common difference.

Putting a=-8 and d=-4, we get

[tex]a_n=-8+(n-1)(-4)[/tex]

[tex]a_n=-8-4n+4[/tex]

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

Putting n=52, we get

[tex]a_{52}=-4-4(52)[/tex]

[tex]a_{52}=-4-208[/tex]

[tex]a_{52}=-212[/tex]

Therefore, the equation for the nth term of the given sequence is [tex]a_n=-4-4n[/tex] and the 52nd term of the sequence is -212.


Related Questions

Mr. Smith bought several drink boxes for $0.50 each and a bag of apples for
$2.39. The total cost of his purchase was $5.89. Write an equation and solve to
find out how many drink boxes Mr. Smith bought.

Answers

Answer:

10.51

Step-by-step explanation:

YOUR WELCOME!

Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation. a. X + 12 = 20 ( 12,8,20,0) b. P - 4 = 0 (4,-4,8,0) c. 2y - 3 = 7 (0,3,5,7) Plz explain ;)

Answers

Answer:

(a) 8

(b) 4

(c)5

Step-by-step explanation:

We are given multiple parts and we  need to provide the correct answer among the given options, also we need to prove that rest of the answers are wrong.

(a). X + 12 = 20 ( 12,8,20,0)

X= 20 -12

X= 8, so only 8 is the correct answer and rest are wrong.

Proof: lets take other given options into consideration

X= 12

X+12 =12+ 24 which is wrong because X+12 is already given as 20.

similarly,

X=20

X+12 = 20+12 = 36, which is wrong because X+12 is already given as 20.

X= 0

X+12 = 0+12 = 12, which is wrong because X+12 is already given as 20.  

(b). P - 4 = 0 (4,-4,8,0)

P-4 = 0

P= 4, So only 4 will give the correct answer and not the other options.

P= -4 = -4 -4 = -8, which is wrong because P-4 is is already given as 0.

similarly,

P = 8  = 8-4 = 4, which is wrong because P-4 is is already given as 0.

P = 0, 0-4 = -4 , which is wrong because P-4 is is already given as 0.  

(c). 2y - 3 = 7 (0,3,5,7)

       2y = 7 + 3

       2y = 10

          y = 5, only 5 will satisfy this given equation and rest will be wrong,

y = 0

2y-3 = 7

2(0) -  3 = 7

-3 = 7 which is not correct as LHS and RHS must be same.

similarly,

y = 3

2y-3=7

2(3) - 3 =7

6-3 = 7

3=7 which is again wrong.

y = 7

2(7) -3 =7

14-3 = 7

11=7, which is wrong.

Therefore the given options for the correct answers is verified and the wrong answers are given as the proof.

(GIVING BRAINLIEST!!!)

0.5 g of salt is equal to how many milligrams?

Show all of your calculations.

Answers

Answer:

500 mg

Step-by-step explanation:

K H D B D C M (Kilo, Hecto, Deka, Base [meters, grams, etc.] Deci, Centi, Milli)

since you're using grams substitute G for B

K H D G D C M

you have 0.5 grams of salt, which will be G for grams. you want to convert it to milligrams, which is M. you will move the decimal over 3 spots in order to get from G to M, therefore you go from 0.5 grams to 500 milligrams. I hope this is helpful!

I need help please I would be happy

Answers

7384(x)748 (8967-888)

Answer: [tex](x,y) \to (4x,4y)[/tex] which is choice (3)

======================================================

Explanation:

The general transformation of [tex](x,y) \to (kx,ky)[/tex] describes a dilation with scale factor k. If k is not equal to 1, then the resulting image will not be the same size as the preimage.

In this case, k = 4. This means that the resulting image has its side lengths 4 times greater compared to the preimage side lengths. For example, if a side length is 5 units long in the preimage, then its corresponding length in the image is 5*4 = 20 units long.

If this is enlargement applied to all sides, then the perimeter also goes up by the same scale factor (since the perimeter is the sum of all exterior sides). The image perimeter will be four times that of the preimage perimeter.

In summary, if you apply a dilation (where k is not equal to 1), then the perimeter will change. If k > 1, then the perimeter gets larger. If 0 < k < 1, then the perimeter will shrink.

----------------------

Extra info:

Choice (1) describes a reflection over the line y = xChoice (2) is a reflection over the x axis.Choice (4) describes a translation of 2 units to the right and 5 units down.The transformations of reflections, translations, and rotations all are considered rigid transformations. This means that they keep the same size and shape. You can imagine the camera is moving around in some way and the shapes stay still (but give the illusion of movement). In other words, rigid transformations will keep the perimeter the same.  Because of this, we can rule out choices (1), (2) and (4).  

The graph shows two linear functions, f and g. Which formula BEST represents g(x)?
A)g(x) = 2f(x)
B)g(x) = 3f(x)
C)g(x) = 1/2f(x)
D)g(x) = 3/2f(x)

Answers

Answer: C

g(x) = 1/2 f (x)

Step-by-step explanation:

Answer:

Step-by-step explanation:

c

find the nth term of 5 9 14 18 5 23

Answers

first of all it is not in the form of A. P because d=a2-a1=9-5=4,a3-a2=14-9=4,a4-a3=18-14=4,a5-a4=5-18= -13,a6-a5=23-5=18

What features do all right trlangles have in common?​

Answers

They all have 3 angles and 3 sides

Answer:

all right trigangles must have a 90 degress angle

Step-by-step explanation:

no

If you roll a regular 6 faced die 1200 times how many times to you expect to get 5

Answers

Answer:

240 times

Step-by-step explanation:

Since there is only one 5 on a 6 sided die, all you have to do is divide 5 into 1200

Jonathan drives 845 miles in 5 hours. What is his average rate of speed in miles per hour?

Answers

845 / 5 = 169
his average rate of speed is 169 mph.

Answer:

ok so it is 169

Step-by-step explanation:

ok i hope this is correct i used a calculator so sorry if its wrong all i did was divide some stuff

if its correct can u give me the crown

if u dont want to thats alright

i divided 845 and 5 and got 169

Math can anyone help me

Answers

Answer:

C. [tex]\frac{4}{10}[/tex] and [tex]\frac{10}{25}[/tex]

Step-by-step explanation:

The proportion between these fractions is true. Multiply 4/10 (numerator and denominator) by 2.5 to get 10/25. This is the only correct option.

Hope it helps!

CAN SOMEONE HELP ME PLZ I NEED HELP

Answers

Answer:

1200 per time

Step-by-step explanation:

The functions f(x) and g(x) are shown on the graph.
f(x) = x²
What is g(x)?

Answers

G(x) is 3(2) because the slope is decreased

The required function g(x) is given as g(x) = 3x².

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,

In the graph, we have a graph of two functions,
f(x) = x² and there is a point (2, 12) located on the curve of function g(x)

we have to determine the function g(x).

Now,
Now, as g(x) is scaled function of f(x)

g(x) = k f(x) - - - - (1)

At x = 2
g(2) = 12
f(2) = 4

Put x = 2 in question 1,
g(2) = k(f(2))
12=k*4
k = 3

Substitute k in equation 1 we get,
g(x) = 3x²

Thus, the required function g(x) is given as g(x) = 3x².

Learn more about function here:

brainly.com/question/21145944

#SPJ7

The price of gas increases from $2.20 per gallon on Monday to $2.31 per gallon on Tuesday. What is the percent of increase?

Answers

Answer:

5% increaseeee

expand and simplify
(y + 2) (y-2)

Answers

Y^2-4, using the foil method
(y+2)(y-2)

= y(y-2) + 2(y-2)

= y^2 - 2y + 2y - 4

= y^2 + 0 - 4

= y^2 - 4

A rectangular field measures 400yds x 600yds. Find the length of the diagonal of the field.

Answers

That would be 1000 yards - add the both together

3/9 x 6/3


all of us:

Answers

Answer:

2/3

[tex] \frac{3 \times 6}{9 \times 3} [/tex]

[tex] = \frac{18}{27} [/tex]

[tex] \frac{18 \div 9}{27 \div 9} [/tex]

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

After a 12% increase the cost of a new cooker is £190.40
Work out the original price of the cooker.

Answers

Answer:

1

X+.12*x=190.40

X(1+.12)=190.40

X=190.40/1.12=170

2a

X+x+25=100

2x=75

X=37.5%

Men=.375*270=101

2b

find the length of the third side. If necessary,write in simplest radical form.​

Answers

Answer:

4

Step-by-step explanation:

It’s a right triangle.

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]10^{2} +x^{2} =(2\sqrt{29} ) ^{2}[/tex]

100+x^2=4(29)

16=x^2

x=4

yo does addiction "run in the family"? i really want to know because it does in mine and im kinda freakin out

Answers

Answer:

Indeed yes homie.

Step-by-step explanation:

4x = 44

PLease help UNDEN

Answers

Answer:

x= 11

Step-by-step explanation:

Write the expression 2 x 2 x 2 x 2 + 7 x 7 - 5 x 5 x 5 using exponents.
Use each base once.

Answers

Answer:

2∧4+7∧2-5∧3

Step-by-step explanation:

32+ 49 - 25 x 5
81 - 25 x 5
56 x 5
280

please help me stuck

Answers

Answer: 341.4

Step-by-step explanation:

Name the following polynomial: 7n^3+10n^4+3n
A. cubic trinomial
B. cubic polynomial
C. quadratic trinomial
D. quartic trinomial

Answers

Answer:

Cubic Trinomial

it has 3 terms so it is Trinomial

and cubic because degree is 3

The name of the polynomial is a biquadratic trinomial. Then the correct option is D.

What is polynomial?

A polynomial expression is an algebraic expression with variables and coefficients.

The polynomial is given below.

⇒ 7n³ + 10n⁴ + 3n

The number of the terms in the polynomial is 3, then the polynomial is a trinomial.

And the degrees of the polynomial is 4, then the trinomial is a biquadratic trinomial.

Then the correct option is D.

More about the polynomial link is given below.

https://brainly.com/question/17822016

#SPJ2

Does anyone have any way of explaining Fibonacci Sequences?​

Answers

I know what Fibonacci retracement is lol but not sequences?
The Fibonacci sequence is a set of numbers that starts with a one or a zero, followed by a one, and proceeds based on the rule that each number (called a Fibonacci number) is equal to the sum of the preceding two numbers.

Given two concentric circles (circles that have the same center point), with the inner circle having a radius of 1 r and the outer one having a radius of 2 r as shown, give a dilation that would map the inner circle onto the outer circle.

Answers

Answer:

(x, y) ⇒ (2x, 2y)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Dilation is the increase or decrease in size of a figure. If a figure with point A(x, y) is dilated by a scale factor of k, the new location is at A'(kx, ky). If k > 1, it is an enlargement and if k < 1, it is a reduction.

Given that the inner circle has a radius of 1 r and the outer one has a radius of 2 r. To map the inner circle onto the outer circle, the inner circle would need to be enlarged. The scale factor is:

k = outer circle radius / inner circle radius = 2r / 1r = 2

A dilation with a scale factor of 2 would be needed to map the inner circle onto the outer circle.

That is:

(x, y) ⇒ (kx, ky)

The dilation should be (x, y) ⇒ (2x, 2y)

What is transformation and dilation:

Transformation refers to the point movement that starts from beginning location to the new location. The dilation refers to the increment or decrement of the figure size.

Here,

The scale factor should be calculated by dividing the  outer circle radius from the inner circle radius

[tex]= 2r\div 1r[/tex]

= 2

Therefore, The dilation should be (x, y) ⇒ (2x, 2y)

Learn more about radius here: https://brainly.com/question/5525937

Find the measure of angle A

Answers

Answer:

30

Step-by-step explanation:

(x + 37) + (x + 67) + 90 = 180 by the Triangle Angle Sum Theorem

(x + 37) + (x + 67) = 90

2x + 104 = 90

2x = -14

x = -7

(-7 + 37) = angle A

angle A = 30

Answer:

<a = 30

Step-by-step explanation:

x + 37 + x + 67 + 90 = 180

<A + <B + <C = 180

*take each angle, add them, and equal them to 180*

x + 37 + x + 67 + 90 = 180

*solve for x*

2x + 194 = 180

      -194   -194

2x = -14

x = -7

<a = x + 37

<a = (-7) + 37

<a = 30

<b = x + 67

<b = (-7) + 67

<b = 60

<c = 90

HELP ASAP!!!
Use Pythagorean Theorem to solve. Round to the nearest tenth •
33 cm
х
55 cm

Answers

Answer:

x= 44 cm

Step-by-step explanation:

[tex] {55}^{2} = {33}^{2} + {x}^{2} \\ {x}^{2} = 3025 - 1089 \\ {x}^{2} = 1936 \\ x = \sqrt{1936} = 44[/tex]

which of the following is an arithmetic sequence
a. -2, -5, -8

Answers

The answer is -5 nice job

What is the slope????

Answers

Answer:

1

Step-by-step explanation:

Rise/run

[tex]\frac{\sqrt[3]{60} }{\sqrt[3]{36} }[/tex]

Answers

∛60
--------
∛36

=
∛5
------
∛3

=∛45
-----------
3

= 1.185
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