In an arithmetic sequence Sn=n^2SN=N^2-2N .USE formula (Tn=Sn-Sn-1) to determine the value of Tn​

Answers

Answer 1

Answer:

[tex]T_n = 2n -3[/tex]

Step-by-step explanation:

Given

[tex]S_n = n^2- 2n[/tex]

[tex]T_n = S_n - S_{n-1[/tex]

Required

Find [tex]T_n[/tex]

[tex]S_n = n^2- 2n[/tex]

Calculate [tex]S_{n-1[/tex]

[tex]S_{n-1} = (n-1)^2- 2(n-1)[/tex]

[tex]S_{n-1} = n^2-2n+1- 2n+2[/tex]

[tex]S_{n-1} = n^2-2n- 2n+1+2[/tex]

[tex]S_{n-1} = n^2-4n+3[/tex]

[tex]T_n = S_n - S_{n-1[/tex] becomes

[tex]T_n = n^2 - 2n - (n^2 - 4n +3)[/tex]

[tex]T_n = n^2 - 2n - n^2 + 4n -3[/tex]

[tex]T_n = n^2 - n^2- 2n + 4n -3[/tex]

[tex]T_n = 2n -3[/tex]


Related Questions

How many 1/5’s are in 2

Answers

Answer:

10 fifths

Step-by-step explanation:

Answer:

There are 2 halves in a whole. There are 3 thirds in a whole. There are 4 quarters in a whole. There are 5 fifths in a whole.

Step-by-step explanation:

I guess 0.4 times?

Find the measure of 46.
62°
16
46 = [?]

Answers

Answer:

118

Step-by-step explanation:

62+ m<6=180

180-62=118

m<6=118

?=118°

Answer:

<6+62=180 co interior angle

<6=180-62=118°

At the We-Pack Shipping, the workers can unload 28 trucks in 7 hours. Which of the following is a correct unit rate for this situation?

1 truck per hour
4 hours per truck
1 over 4. of a truck per hour
1 over 4. of an hour per truck

Answers

Answer:

4 trucks per hour

Step-by-step explanation:

You would do the trucks over the hours to get the ratio so, 28:7 is equal to 4:1 because 28/7 = 4

4 trucks per hour? Maybe the last one I’m not sure the question isn’t very clear

2x+2y=-2
3x-2y=12

What is this please

Answers

Answer:

x=2, y=-3

Step-by-step explanation:

This type of problems is called a system of equations, or simultaneous equations.

When solving simultaneous equations, you need to first make sure you have two unknown terms of the same number but different signs - this is so one unknown cancels out because we can only solve when there's one unknown. We already have this ('2y' and '-2y'). Now we just add the 'x's, the 'y's and the numbers:

2x+2y=-2

3x-2y=12

(2x+3x)+(2y-2y)=(-2+12)

5x=10

x=2

Now that we know the value of x, use it to find y:

2x+2y=-2

2(2)+2y=-2

4+2y=-2

2y=-6

y=-3

What is the area of the front face?

Answers

Answer:

the area of the front face would be 40 square inches.

Step-by-step explanation:

to find the are of a rectangle, you multiply the length times the width. we can see that the length is 8 inches at the bottom of the front face and we can see that width is 5 inches next to the left side face. if we take those two numbers (5 and 8) and multiply them, we get 40. all you have to do after that is add "square inches" to the end because when you find the area of something, it will be squared and the measurement used in inches.

GEOMETRY

PLEASE HELP

PICTURE INCLUDED

Answers

Answer:

x = 25°

Step-by-step explanation:

3x + 30 + 2x + 3x + 30 + 4x = 360° (a full circle contains 360°)

12x + 60° = 360°

12x = 300°

x = 25°

Nellie has a new beaded necklace. 2 out of the 40 beads on the necklace are blue. What percentage of beads on Nellie's necklace are blue?

Answers

Answer:

5%

Step-by-step explanation:

2/40 = 1/20

1/20 = 0.05

0.05 = 5%

2. Which expression is equivalent to (9n - 7) - (6n + 5)?
A. 3n - 2
B. 3n - 12
C. 13n - 2
D. 13n - 10

Answers

B. 3n-12
i worked out the problem and it should be right if it’s not right im so sorry

What number is equal to 2.8 - 4 ÷ 4? 02 03 O 14 O 15​

Answers

Answer:

1.8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

2.8 - 4 ÷ 4

Step 2: Evaluate

Division:                                                                                                             2.8 - 1Subtraction:                                                                                                      1.8

For some constant c, the random variable X has probability density function

f(x)=(c(1-x)^9, 0≤x≤1
0, otherwise)
a) Find c.
b) Find P(X>0.6)

Answers

Answer:

b) Find P(X>0.6)

Explanation:

In order to find the product to the unknown variable you have to first solve the equation that has the parenthesis, The reason you should first find the parenthesis is because of  The Order Of Operations, You have to first do parenthesis to find the unknown variable.

There are thirty seven students in the Service Club. They have to vote to send 4 representatives to a board meeting:
president, vice-president, secretary and treasurer. How many different ways can the group of four be selected? Choose
the correct representation of the group.

Answers

Picking 4 students out of 37 students would be a permutation.

This is written with the total students first, the letter P then the number of students getting picked:

The answer would be D. 37P4

Find a solution for each variable based on the given information.

Answers

Answer:

Whites don't deserve rights

Step-by-step explanation:

PLS PLS PLS PLS PLS PLS PLS HELP ME OUT THERE IS A PHOTO ATTACHED PLS ITS EASY I THINK FOR U PLS

Answers

No. 1.5 is a whole number while 1.5% is a percent

I got 49 will someone double check me please?!

Answers

Answer:

m<YVX = 49°

Step-by-step explanation:

Given:

m<YVZ = 52°

m<ZVW = 36°

m<XVU = 43°

m<YVX + m<YVZ + m<ZVW + m<XVU = 180° (angles in a straight line)

m<YVX + 52 + 36 + 43 = 180 (substitution)

m<YVX + 131 = 180

m<YVX = 180 - 131

m<YVX = 49°

Algebra find the value of x in each figure.

Answers

Answer:

b. 156

Step-by-step explanation:

180 - 29 = 151

x-5=151

x=151+5

Answer:

x = 156

Step-by-step explanation:

A straight line has an angle of 180 degrees. Subtract the known angle from 180:

180 - 29 = 151

The missing angle is 151 degrees. The value of x is 5 more, given 151 = ( x - 5 ).

151 + 5 = 156.

x = 156.

Hope that helped :)

A company uses this formula to work out the cost, £A, of a taxi ride.

A = 5 + 1.9m + b

£5 is a fixed charge

m is the number of miles travelled

£b is a charge for booking online

a) Harry books a taxi online and travels 12 miles.

He pays £29.48 altogether.

How much is the charge for booking online?

b) If Sue books online and travels 20 miles, what will be

Answers

Answer:

£b = £1.68

A = £44.68

Step-by-step explanation:

Given:

A = 5 + 1.9m + b

Where,

A = total cost

m = number of miles travelled

£b = charge for booking online

£5 = fixed charge

A. Harry

A = £29.48

m = 12 miles

£b = ?

A = 5 + 1.9m + b

29.48 = 5 + 1.9(12) + b

29.48 = 5 + 22.8 + b

29.48 = 27.8 + b

29.48 - 27.8 = b

b = 1.68

£b = £1.68

b) If Sue books online and travels 20 miles, what will be

A = 5 + 1.9m + b

= 5 + 1.9(20) + 1.68

= 5 + 38 + 1.68

= 44.68

A = £44.68

Factorise the following.​

Answers

Answer:

ii. [tex](a^{2} +b^{2} +2bc+c^{2} )(a+b+c)(a-b-c)[/tex]

v. [tex](x^{2} -y^{2} )^{2}[/tex]

Step-by-step explanation:

ii. [tex]a^{4} -(b+c)^{4}[/tex]

[tex]=(a^{2} )^{2} -((b+c)^{2} )^{2}[/tex] (Rewrite using Exponent Rules)

[tex]=(a^{2} +(b+c)^{2} )(a^{2} -(b+c)^{2} )[/tex] (Difference of Squares)

[tex]=(a^{2} +b^{2} +2bc+c^{2} )(a+(b+c))(a-(b+c))[/tex] (Expand the terms in the first parentheses, use the difference of squares again to further factor the terms in the second parentheses)

[tex]=(a^{2} +b^{2} +2bc+c^{2} )(a+b+c)(a-b-c)[/tex] (Simplify)

v. [tex]x^{4} -2x^{2} y^{2} +y^{4}[/tex]

[tex]=(x^{2})^{2} -2x^{2} y^{2} +(y^{2} )^{2}[/tex] (Rewrite using Exponent Rules, notice that this is now a perfect square trinomial)

[tex]=(x^{2} -y^{2} )^{2}[/tex] (Factor using perfect square trinomial formula)

Hope this helps!

If a bus travels 20 km east in 30 minutes. What is the average velocity & displacement of the bus?

Answers

Answer:

i. Average velocity = 11.11 m/s

ii. Displacement of the bus is 20000 m due east.

Step-by-step explanation:

The displacement of an object is the distance covered towards a definite direction, while the velocity of an object is the rate of its displacement in a given time.

average velocity = [tex]\frac{displacement}{time taken}[/tex]

But,

20 km = 20 000 m

30 minutes = 30 x 60

                   = 1800 s

So that,

average velocity  = [tex]\frac{20000}{1800}[/tex]

                             = 11.1111

average velocity = 11.1 m/s

The displacement of the bus is 20 km due east.

Find the Borda score for the Mustangs in a competition between Mustangs, Avengers, Falcons and Ravens. The voting results by preference are shown:



MAFR: 3

AMFR: 6

FAMR: 1

RAFM: 4

Answers

Answer:MAFR: 3

Step-by-step explanation:

PLATO! Select ALL the correct answers.
Identify the scenarios in which the statistics are misleading.
A. a music store owner claims that about 15% of high school students in his city can play the piano. He concludes this after surveying 80 randomly selected students from the various high schools in
his city.
B. A supermarket claims that 65% of its shoppers would like to see home delivery offered. They arrived at the conclusion by polling 50 randomly selected customers on a Tuesday afternoon.
C. A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.
D. A website claims that 47% of its visitors click on at least one advertisement while browsing the site. The information was collected from a database containing all the activity on the website
during the past month.
E. A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.

Answers

Answer:

C. A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.

E. A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.

Step-by-step explanation:

These two are the biased reports because they don't include the full population.

C is biased because it only includes teens, not people of any other age.

E is biased because it only included males, not females.

A isn't biased because it includes the stated population, high school students in the city.

B isn't biased because the sample was of 50 random customers, which is the general population.

D isn't biased as it included all data from the website.

Hope this helps!

The solution is,:

1) A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.

3) A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.

What is sample and statistic?

A portion of population taken and analyzed to predict information about population is called sample of that population.

Ex: When someone surveys a group, then he/she surveys a portion and not whole population in general.

Those numbers who summarize information about sample are called statistic.

(Statistic is different than statistics)

The  numbers which summarize information about the sample are called statistic.

The scenarios in which the statistics are misleading;

1) A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.

3) A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.

Learn more about z-statistic here:

brainly.com/question/1640298

#SPJ2

Please answer all the questions

1.find the area of the circle
(Radius = 6)

2. find the area of half of a circle
(Radius = 6)

3. find the area of a quarter of a circle
(Radius = 6)

4. find the area of 3/4 of a circle
(Radius = 6)

Answers

I am not answering all the questions.

I will only do the first one.

A = pir^2

A = pi(6)^2

A = 36pi

You do the rest.

Which quadrilateral with side lengths shown will have a perimeter of 18 meters?

3 m, 5 m, 4 m, 6 m
4 m, 4 m, 4 m, 4 m
5 m, 2 m, 5 m, 2 m
4 m, 7 m, 2 m, 6 m

Answers

The correct answer should be 4 m, 7m, 6m, and 1m not 2m because that would equal 19m

To get the perimeter, add the values in each shown.

Starting with the first one 3+5+4+6=18 m so it is the answer.

MY TEAS GONE COLD I WONDERJNV WHY I GOT OUTTA BED ALONE HELP PLEASE

Answers

Answer:

54

Step-by-step explanation:

2/3(7-16)^2

2/3(-9)^2

2/3*81

54

Find the area of the figure below.
6 cm
5 cm
13 cm

Answers

The answer should be 390 because you multiply all the numbers because area is length x width x height

If tan(A+B)=8 and tan B = 1/57 find tan A
Plz show work

Answers

Answer:A=8-1/57=455/57=7.98

Step-by-step explanation:

Please help!! Thank you

Answers

Answer:

Equilateral acute

Step-by-step explanation:

Equilateral acute

2
Round 2674 to the nearest hundred​

Answers

2674 to the nearest hundred would be 2700

the nearest hundredth would be 2700

HELP ANSWER AND EXPLAIN I’LL MARK BRAINLIEST

Answers

Answer:

x = 2.2, y = 5.3

Step-by-step explanation:

This question is asking us to solve a system (find x and y). Because they give us that y = 1.5x + 2, then we can use this to substitute into the second equation.

9x + 4y = 41

9x + 4(1.5x + 2) = 41

Simplify.

9x + 6x + 8 = 41

15x + 8 = 41

Subtract 8 from both sides.

15x = 33

Divide both sides by 15.

x = 11/5 = 2.2

To find y, substitute x = 2.2

y = 1.5x + 2

y = 1.5 * 2.2 + 2

y = 3.3 + 2

y = 5.3

Now, we can double check to see if these two answers are right. Plug these numbers into the other equation (because to find y, we already used the first equation, so there is no need to check it, as it would just give us 5.3 = 5.3)

9x + 4y = 41

9 * 2.2 + 4 * 5.3 = 41

19.8 + 21.2 = 41

41 = 41

Thus, the answer is correct.

I hope this helps! Feel free to ask any questions!

Solve for x. 5000(2)^x = 3500(3)^x​

Answers

Answer:

0.887966

Step-by-step explanation:

1. Divide by 3500

(5000/3500)(2^x) = (3^x)

2. divide by 2^x and simplify

10/7 = (3/2)^x.

3. apply 'ln' function

ln(10/7) = xln(3/2)

4. divide ln(3/2)

ln(10/7) / ln(3/2) = x

x = 0.87966

In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. Find P45, which is the consumption level separating the bottom 45% from the top 55%.


1021.7


1148.1


1087.8


1078.3

Answers

Answer:

1021.7

Step-by-step explanation:

lol i guess im sry if im wrong

if i right can i have brainliest?

Answer:1021.7

Step-by-step explanation:

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