Find a general term a, for the sequence whose first four terms are given.
1 /1,1/4,1/9,1/16

Answers

Answer 1

Answer:

  an = 1/n^2

Step-by-step explanation:

We notice that the denominators are the squares of successive integers. The general term will be ...

  [tex]\boxed{a_n=\dfrac{1}{n^2}}[/tex]


Related Questions

4-7x=1-6x can someone please solve and show the work :)

Answers

Answer:

x = 3

Step-by-step explanation:

Simplifying

4 + -7x = 1 + -6x

Solving

4 + -7x = 1 + -6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.

4 + -7x + 6x = 1 + -6x + 6x

Combine like terms: -7x + 6x = -1x

4 + -1x = 1 + -6x + 6x

Combine like terms: -6x + 6x = 0

4 + -1x = 1 + 0

4 + -1x = 1

Add '-4' to each side of the equation.

4 + -4 + -1x = 1 + -4

Combine like terms: 4 + -4 = 0

0 + -1x = 1 + -4

-1x = 1 + -4

Combine like terms: 1 + -4 = -3

-1x = -3

Divide each side by '-1'.

x = 3

Simplifying

x = 3

J/6 -9=5/6

Can u give me a step to step answer

Answers

Answer:

j = 59

Step-by-step explanation:

since you are solving for j, you want to get it by itself

you can start out by multiplying both sides of the equation by 6 to get rid of the fractions

[tex](6)(\frac{j}{6}-9)=\frac{5}{6}(6)[/tex]

distribute the 6

[tex]j-54=5[/tex]

add 54 to both sides

[tex]j-54+54=5+54[/tex]

[tex]j=59[/tex]

fill in the blank to find –5 + (-2)

Answers

The answer is -7. Adding two negative make a negative then u add like u regularly would

Tell whether the given angles are vertical angles, a linear pair, or neither.

Answers

The given angles are a linear pair

Consider this equation 2,900 = 250 + 132.5T. In this situation, what would the solution
to this equation tell us?

Answers

Answer:

T = 20

Step-by-step explanation:

Given the equation 2,900 = 250 + 132.5T, to get the solution of the equation, we will find the value of T as shown;

From 2,900 = 250 + 132.5T

subtract 250 from both sides;

2,900- 250 = 250 + 132.5T-250

2,650 = 132.5T

Divide both sides by 132.5

132.5T/132.5 = 2650/132.5

T = 20

Hence the solution to the equation tells us that the value of T is 20

Which is not a pair of congruent angles in the diagram below?

A. Angles BDA and DBC

B. Angles ABD and BAD

C. Angles ABD and BDC

D. Angles BCD and BAD​

Answers

Answer:

B. Angles ABD and BAD

Step-by-step explanation:

The way that you tell which angles are congruent, are based on the angle marks. Angle A and C are congruent because they both contain 3 of the congruency marks, meaning they would equal the same degree. The answer is B because starting with angle BDA, B is your starting point, whereas D is the angle and A is the point you end on. With angle BAD, you start at point B and end at D, making angle A the one you're looking at. Because angle A contains 3 congruency marks, while angle B only contains one, this makes the two angles NOT congruent. Hope this helps. :)

Answer:

angles ABD and BAD

Step-by-step explanation:

The congruent angles match in the number of angle markings on the diagram.

The volume of the cell phone is 75 cubic centimeters. Write and solve an equation to find the height of the cell phone. Round your answer to the nearest tenth

Answers

Answer:

Equation: [tex]Height = \frac{75}{Area}[/tex]

Step-by-step explanation:

The question is incomplete as the dimension of the phone was not given.

However, the following explanation will guide you

Given

[tex]Volume = 75\ in^3[/tex]

Required

Determine the Height

Volume is calculated as thus;

[tex]Volume = Area * Height[/tex]

Substitute 75 for Volume

[tex]75= Area * Height[/tex]

Divide through by Area

[tex]Height = \frac{75}{Area}[/tex]

The above represent the equation to solve for Height

To solve for height, we need the dimension of the phone or the area.

Take for instance; the length and width of the phone is 5 by 5 inches;

The height would be:

[tex]Height = \frac{75}{5 * 5}[/tex]

[tex]Height = \frac{75}{25}[/tex]

[tex]Height = 3\ inches[/tex]

3.
Find a relationship between x and y so that (x, y) is equidistant from the two points (3,-1)
and (2,5). Show your work.

Answers

Answer:

The answer is 6.082763

Step-by-step explanation:

We use the Distance formula for this problem.

A. Calculate the circumference of each circle described. Use | [ 3.14 and
round to the nearest hundredth.
1. The diameter of a circle is 6 centimeters.

Answers

Answer:

18.84cm

Step-by-step explanation:

C=πd

C=3.14×6

C=18.84cm

An investment of $7,500 increases at a rate of 10.5% per year. Find the value of the investment after 5 years.​

Answers

10.5%= 1.105
7,500•1.105=8287.5
8287.5•5=41437.5

Answer= $41,437.5

What is the value of m in the equation below?
2 m - 3 = - m + 6

Answers

Answer: m=3

2m-3= -m+6

3m=9

m =3

Hope this helps!

pls help i need help

Answers

Answer:

4.69, hope this helps, Thank you

4.69 is the right Answer

45 + 4x = 6x + 5
I don't understand how to do it can you pleas help put??

Answers

Answer:

x=20

Step-by-step explanation:

45+4x=6x+5

45=2x+5

40=2x

20=x

x=20

Answer:

x = 20

Step-by-step explanation:

45 + 4x = 6x + 5

45 - 5 =6x - 4x

40 = 2x

x = 40/2

x = 20

Check:

45 + 4*20 = 6*20 + 5

45 + 80 = 120 + 5 = 125

the eye colour of 60 people is recorded below. eyecolour blue grey brown hazel total no of people 12 10 25 13 60 draw a pie chart to represent the above data

draw a pie chart

plz answer fast

Answers

Here you go , hope this helps

1) 3(3x - 4) = -2(1 – 4x)

Answers

Let's solve your equation step-by-step.
3
(
3
x

4
)
=

2
(
1

4
x
)
Step 1: Simplify both sides of the equation.
3
(
3
x

4
)
=

2
(
1

4
x
)
(
3
)
(
3
x
)
+
(
3
)
(

4
)
=
(

2
)
(
1
)
+
(

2
)
(

4
x
)
(Distribute)
9
x
+

12
=

2
+
8
x
9
x

12
=
8
x

2
Step 2: Subtract 8x from both sides.
9
x

12

8
x
=
8
x

2

8
x
x

12
=

2
Step 3: Add 12 to both sides.
x

12
+
12
=

2
+
12
x
=
10

Answer:

x = 10

Step-by-step explanation:

3(3x - 4) = -2(1 - 4x)

9x - 12 = -2 + 8x

9x - 8x = -2 + 12

x = 10

Hope this helps!

Can (3,0) (0,-2) (6,2) and (-3,-4) be generated as a linear function yes or no?

Answers

Yes i think it is a linear function

The Hartman family is saving $400 monthly for Ronald's college education. The family anticipates they will need to
contribute $20,000 toward his first year of college, which is in 4 years. Which best explains whether the family will
have enough money in 4 years?
The family will not have enough money. They will have saved only $16,000.
O The family will not have enough money. They will have saved only $19,200.
The family will likely have enough money. They will have saved $16,000 and have accumulated interest.
O The family will likely have enough money. They will have saved $19,200 and have accumulated interest.

Answers

Answer:

The family will not have enough money. They will have saved only 19,200

Step-by-step explanation:

The family will not have enough money. They will have saved only $19,200  is the best statement.

What is interest?

" Interest is defined as the amount of money which one has to pay while borrowing and charged while lending money."

According to the question,

Amount saved per month by Hartman family = $400

Amount need to pay fees after 4 years = $20,000

Total amount saved in 4years = 400 × 12 ×4

                                                 = $19200

Difference in amount needed = 20,000 - 19,200

                                                    = $800

Here it is not given that Hartman family has saved money in any bank.

Neither rate of interest is mentioned.

Hence, we conclude that the family will not have enough money. They will have saved only $19,200  is the best statement.

Learn more about interest here

https://brainly.com/question/13324776

#SPJ2

Question 1
the formula for finding the area of a trapezoid is A= 1/2(b1+b2)h where A represents the area of the trapezoid, b1 and b2 are bases, and h represents the height. Solve the formula for h.

WILL MAKE YOU BRAINLIEST IF YOU ANSWER FIRST AND HAS THE RIGHT ANSWER!!!


Answers

Answer:

[tex] \frac{2a}{(b1 + b2)} [/tex]

Step-by-step explanation:

A = 1/2(B1 + B2)h

2A = (B1 + B2)h

h = 2A/(B1 + B2)

steve cycled 35 miles

Answers

Answer:

yes pls continue we need full questions

Solve.
|9x +4| = |x- 7|

Answers

Answer:

equation calculator type it in and it'll show h STEP by step and also give u the answer while teaching you.

Answer:

x = 11/8

Step-by-step explanation:

9x + 4 = x - 7

9x - x = -7 - 4

8x = 11

divide both sides by 8

8x/8 = 11/8

x = 11/8

-3xy = what when x=11 and y =-4?

Answers

Answer:

132

Step-by-step explanation:

-3xy

x=11 and y = -4

= -3 *11*-4

-33 * -4

132

If x = 11 and y = -4

-3xy = -3 × 11 × -4

= -3 × -44

= 132

.... Hope this will help....

Y=2x-1 Y=x+4 Simultaneous equation

Answers

Answer:

(5, 9)

Step-by-step explanation:

Solve by Graphical Method.

I graphed the lines on a graph. The lines intercept at the point (5, 9).

(5, 9) is the solution to the system of equations.

x = 5

y = 9

Hope this helps.

The length of a rectangle is three more than twice the width. Find the width and the length if the perimeter is 84 f

Answers

[tex]\text{Hello! :D}[/tex]

[tex]\boxed{\text{width = 13ft, length = 29ft}}[/tex]

[tex]\text{ Let the width = "w":}\\\\\text{Write an expression to represent the length in terms of "w":}\\\\l = 2w + 3\\\\\text{Formula of a rectangle: } \\\\P = 2l + 2w\\\\\text{Therefore:}\\\\84 = 2(2w + 3) + 2(w)\\\\84 = 4w + 6 + 2w\\\\84 = 6w + 6\\\\\text{Subtract 6 from both sides:}\\\\78 = 6w\\\\\text{Divide both sides by 6:}\\\\78/6 = 6w/6\\\\w = 13ft\\\\\text{Plug this value of "w" into the equations for the length:}\\\\l = 2(13) + 3\\\\l = 26 + 3\\\\l = 29ft[/tex]

Question 3
Consider the parallelogram below with an area of 672 cm?
9x-12
16

Answers

Answer:

Are of parallelogram = base * height

672 = b*h

or, (9x-12)* 16 =672

0r 9x-12 = 42

9x = 54

x=6

height =9x-12 = 54 -12 = 42

Step-by-step explanation:

How to solve 8.6 = z -3.8

Answers

Answer:

12.4

Step-by-step explanation:

Step 1:

8.6 = z - 3.8

Step 2:

8.6 + 3.8 = z

Answer:

12.4 = z

Hope This Helps :)

Answer:

z=12.4

Step-by-step explanation:

8.6 = z-3.8

Add 3.8 on both sides

z = 12.4

Is there a dilation that maps shape II onto shape I? If so, what is the scale factor and is it an enlargement or a reduction?

Answers

Shape II was dilated by a scale factor of 1/3 to form shape I. This is  a reduction since the scale factor is less than 1.

What is transformation?

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

Shape II was dilated by a scale factor of 1/3 to form shape I. This is  a reduction since the scale factor is less than 1.

Find out more on transformation at: https://brainly.com/question/4289712

#SPJ1

Answer: A dilation will map shape I onto shape II. The bottom left coordinate of shape I is (1, 1) and the bottom left coordinate of shape II is (3, 3). So, to get the corresponding coordinates of shape II, multiply the coordinates of shape I by 3. This is true for every set of coordinates. So, the scale factor is 3. Because the scale factor is 3, which is greater than 1, the dilation is an enlargement.

12-09-2020 11:47:00 AM 9/12/2020 10:46:26 AM
Name: Punja adhikari
Roll No 20778437
virs 5mins 3 secs
28 760
The ages of mother and her daughter are in the ratio of 5:3. If the age
of mother is 50 years, find the age of her daughter.
30 years
20 years
15 years
25 years​

Answers

Answer:

the age of her daughter is 30

Step-by-step explanation:

be careful when putting your full name, ok?

Answer:

The daughter is 30 yrs old

Step-by-step explanation

just like the other guy said don't put your real name be carful they're scammers out there.

What is the equation of the line that passes through (0, 3) and (7,0)?

Answers

Answer:

Step-by-step explanation:

(0 - 3)/(7 - 0)= -3/7

y - 0 = -3/7(x - 7)

y = -3/7x + 3

How many inches are in 12 feet?

1 inch
24 inches
120 inches
144 inches

Answers

Answer:

144 inches

There are 12 inches in 1 foot.

12 inches x 12 feet = 144 inches.

The answer is 144 inches.

Hope this helps! Please give brainliest.

12 feet is equal to 144 inches. Therefore, option D is the correct answer.

We need to calculate how many inches are in 12 feet.

How to convert feet to inches?

To convert a measurement in feet to inches, all you need to do is multiply the number by 12.

That is 12 feet=12×12=144 inches.

Therefore, option D is the correct answer.

To learn more about feet to inches visit:

https://brainly.com/question/13899873.

#SPJ6

1. What is volume, and how is it measured?

Answers

Answer:

volume is the amount of space that a substance or object occupies, it is measured in cubic units

Other Questions
1The admission fee to a movie is $12.50. Each concession item costs $1.75.How much does it cost to go to the movie and then purchase 3 items at theconcession stand? List the planets that have a diameter of less than 15,000 km. Overnight, the temperature in Mayville was 4F. But by the following afternoon, the temperature had risen 11F. What was the temperature in Mayville that afternoon? To solve the problem, Rose added 4+11 and came up with an answer of 7F. Is Rose correct? Why or why not? Mary is half of her sister's age. The sum of theirages is 18. How old is her sister? Of the last few surviving Seminoles, why did they live in elevated homes? .........Help......... Chelsea earned $85while babysitting. Shespent $42 on gas for hercar and $17 on dinnerwith a friend. How muchmoney does she havenow? the white blood cells stops the infections before it can infect the body ? a house with an original value of $210,000 increased in value to $300,000 in 5 years what is the ratio of the increase in value to the original value of the house ? Pls help asap :_:Steven knows that the first angle of a triangle measures 98 degrees, and the second angle measures 37 degrees.Which equation could Steven use to find x, the measure of the third angle?a)x = 180 + 98 + 37b)x = (98 + 37) 180c)x = 180 (98 + 37)d)x = 3 (98 + 37) I know I'm stuped lol but can you please give me a good and honest responseHow do older and younger generations, such as grandparents and grandchildren, typically interact with each other? To answer this question, either write a detailed explanation, provide an actual example from your life, or create a text message conversation between a fictional grandparent and grandchild. Which statement explains how the bands in the crystal of a metal are like atomic orbitals?A. They both have localized electrons that orbit specific atoms.B. They both involve ionization of some atoms so bonding can occur.C. They both have delocalized electrons that move from atom to atom.D. They both allow electrons to move from lower energy levels to higher energy levels. How did the events on September 11, 2001 impact our current society? Miranda needs to cut strips of paper that are 1/8 of an inch. If she has piece of paper that is 7 and 3/4 inches long. How many strips of paper can she make? * Calculate the velocity of the bicyclist between 0 and 3 seconds. $500 deposit over 20 years with an interest rate of 5% I know this might sound nasty but... what is puberty?-_-|| why did hernando de soto explore much of georgia in 1540 Fill in the blanks 1. Yo no papel. (tener) 2. Su esposo maana. (venir) de Canad, no? (venir) 4. Nosotros de California. (venir) de la Repblica Dominicana. (venir) 6. To dos hermanas, zverdad? (tener) una familia grande o pequea? 7. Ustedes (tener) un examen importante 8. Nosotros maana. (tener) 9. Tu ganas de comer una pizza? (tener) calor. Por qu no abrimos la 10. Diego y yo ventana? (tener) Someone please help me to answer this questions... Help ASAP NOOO your not supposed to wear put it in English