Find the series in A.P whose sum to n terms is n*(n+2)​

Answers

Answer 1

Answer:

3, 5, 7, 9, 11, .........

Step-by-step explanation:

Given

[tex]S_{n}[/tex] = n(n + 2) , then

S₁ = 1(1 + 2) = 1(3) = 3 ⇒ a₁ = 3

S₂ = 2(2 + 2) = 2(4) = 8

S₃ = 3(3 + 2) = 3(5) = 15

Thus

a₂ = S₂ - S₁ = 8 - 3 = 5

a₃ = S₃ - S₂ = 15 - 8 = 7

The first 3 terms are 3, 5, 7

This is an AP with common difference d = 2, then

a₄ = a₃ + 2 = 7 + 2 = 9

a₅ = a₄ + 2 = 9 + 2 = 11

and so on


Related Questions

What's the slope and y intercept of the graph

Answers

Answer:

A

Step-by-step explanation:

Have a great day!!!!!

Describe a sequence of rigid motions

Answers

Answer:

Step-by-step explanation:

Reflection over y-axis , then reflection over line y = 2

If the sides of a square are increased by 2 inches, the
area becomes 81 square inches. Find the length of the
sides of the original square
The length of the sides of the original square is

Answers

the length of each side is 7 inches

If you take the square root of 81 which is 9, you then subtract 2 which gives you 7

According to how squares are, all 4 sides will have the same length. which means both sides are 7

What operation is being done to the variable in the equation -5m = -40?

It's being multiplied by -5.
It's being divided by -5.
It's being multiplied by -40.
It's being divided by -40.

Answers

Answer:

it's being divided by -5

Step-by-step explanation:

-5m= -40

m=8

Crystal earns $5.50 per hour mowing lawns.
• Write a rule to describe how the amount of money m earned is a function of the number of hours h spent mowing lawns.
• How much does Crystal earn if she works 3 hours and 45 minutes

Answers

1) Required equation
2)Crystal earns $20.625 in 3 hours and 45 minutes.
Step-by-step explanation:
Given : Crystal earns $5.50 per hour mowing lawns.
To find :
1) Write a rule to describe how the amount of money m earned is a function of the number of hours h spent mowing lawns.
It is given that Crystal earns $5.50 per hour mowing lawns.
Let m is the amount of money earned
and h is the number of hours spent
So, The equation form by the statement is

2) How much does Crystal earn if she works 3 hours and 45 minutes
1 hour=60 minutes
So, for 3 hours and 45 minutes

In 1 hour she earn $5.50
In 3.75 hours she earn
Crystal earns $20.625 in 3 hours and 45 minutes.

The following chart shows the number of concert tickets sold and the profit earned. What is the slope of the line through these points?
a. -1/4
b. -1/2
c. 4
d. 2

Answers

Answer:

C.) 4

Step-by-step explanation:

y2 - y1/x2 - x1

m = 160 - 80/60 - 40

m = 80/20

m = 8/2

m = 4/1

m = 4

Answer:

4

Step-by-step explanation:

Catarina is buying supplies for a party. She plans to spend at least $100 on food and at least $50 on party favors. She can spend no more than $250 total on food and party favors.

Write three inequalities, how much Catarina plans to spend on food, party favors and food.

Answers

Answer:

food [tex]\geq[/tex] 100

favors [tex]\geq[/tex] 50

total [tex]\leq[/tex] 250

Todd swam his race in 36.795 seconds while Markie swam his race in 39.09 seconds. What was the difference in their times?

Answers

Answer:

2.295 seconds

Step-by-step explanation:

39.09-36.795

=2.295 seconds

PLS GIVE BRAINLIEST

Deon earns $28 washing 4 windows. At this rate, how many windows did Deon wash to earn $63?​

Answers

Answer:

9windows

Step-by-step explanation:

4w=$28

$63 =4×63÷28 =4×63×1/28

9windows

Sean wants to spend (example) $100 on clothing and he wants to purchase
6 additional items for his wardrobe. Each pair of pants costs $20 and each shirt costs $15.
Show the solution graphically.

Point (2, 4)

Answers

Answer:

Step-by-step explanation:

Let x be the number of pants and y be the number of shirts

x + y = 6

20x + 15y = 100

multiply the first equation by -20

-20x -20y = -120

20x + 15y = 100

subtract the equations

-5y = -20

y = 4

replace y in equation 1

x + 4 = 6

x = 2

There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun one time, what is the probability that the result is a multiple of 6 and a multiple of 4?

Answers

Answer:

Step-by-step explanation:

Multiplies of 6:

6,12

Multiplies of 4:

4,8,12

4\15

Which unit price is the highest?

turnips for $1.51 per pound
peppers for $1.62 per pound
carrots for $1.26 per pound
celery for $1.48 per pound

Answers

Answer:

1.62 so peppers

Step-by-step explanation:

Answer:

peppers    Hope thiss helps!

Step-by-step explanation:

Which of these equations is NOT true?
A) 2(a + b) = a +b+a+b
C) (t-4) +6=t-10
B) 3y + 4y = 7y
D) x(5 + 9) - x = 13x

Answers

Answer:

C) (t-4) + 6=t-10

Step-by-step explanation:

2(a+b)= a+b+a+b

2(a+b)= 2a+b+b

2(a+b)=2a+2b

2(a+b) = 2(a+b)✅

(t-4)+6=t-10

t+2=t-10❌

3y+4y=7y

7y=7y✅

x(5+9)-x=13x

x(14)-x=13x

14x-x=13x

13x=13x ✅

i need desperate help i dont care abt work

Answers

Answer:

75%

Step-by-step explanation:

add them together

20 PTS! On my quiz there are 25 questions, I got a 96%. How many did I get right and how many wrong?

Answers

Answer:

Well, you missed one. (24/25) is a 96%

1 Incorrect

24 Correct

Step-by-step explanation:

PLEASE HELP!! BONUS POINTS!! WILL CHOOSE BRAINLIEST!!!
(The instructions say: Write a linear equation to represent the line shown on the graph)
THANK YOU!!

Answers

Answer:

y = - 1/2x + 5

Step-by-step explanation:

We can see point on the graph:

(0, 5) and (4, 3)

Slope-intercept form:

y = mx + b

First finding the slope using slope formula:

m = (y2-y1)/(x2-x1) = (3 - 5)/(4-0) = -2/4 = -1/2y -intercept is 5 as per the first point

The line is:

y = - 1/2x + 5

Answer:

9,8

Step-by-step explanation:

x=9, y=8

Hope that helps!

What is the equation of the line that passes through the point (-5,2) and
has a slope of

Answers

i believe it’s 0 , 0 is originally a slope

please help please help please help please help please help please help please help please help

Answers

Answer:

two

Step-by-step explanation:

ilxzc d cd cf trdc4rter

Ill give u brainlist help me solve this

Answers

Answer:

false

Step-by-step explanation:

Abe is buying wrapping paper.
He is shopping for the best deal.

Drag the rolls of wrapping paper in order from the least to the greatest unit cost in dollars per square foot.
red 12.5 square feet for $1.79
blue 40 square feet for $5.29
green 50 square feet for $8.49
orange 60 square feet for $6.00

Answers

Answer:

So you need to compute all the rates to see which is the best deal.

$1.79/12.5ft^2=$0.1432 per ft^2

$5.29/40ft^2=$0.13225 per ft^2

$8.49/50ft^2=$0.1698 per ft^2

$6/60ft^2=$0.10 per ft^2

So the last option is the cheapes per square foot and thus is the best deal.  Ordered from least to greatest.

Sherbert, blue, red, and green

Step-by-step explanation:

hope this helps

Answer:

The order goes Orange, Blue, Red, and Green

Step-by-step explanation:

By dividing the total cost by the amount of square feet, you get the unit value for the wrapping paper per square foot.

A quadratic equation that has X-intercepts of (-2,0) and (8,0), a stretch of 3, and the vertex is a minimum.
a. Factored form equation:
b. Vertex form equation:
c. Standard form equation:

Answers

Answer:

a. y = 3 × (x + 2)(x - 8)

b.  y = 3·(x - 3)² - 75

c) y =  3·x² - 18·x - 48

Step-by-step explanation:

The x-intercept of the quadratic equation are (-2, 0), (8, 0)

The stretch of the quadratic equation = 3

We have;

a. The factored form y = 3 × (x + 2)(x - 8)

b. From the vertex form, we have;

y = 3 × (x + 2)(x - 8) = 3·x² - 18·x - 48

y = 3·x² - 18·x - 48

The vertex form a(x - h)² + k

Where;

h = -b/(2·a) = 18/6 = 3

h = 3

k = c - b²/(4·a) = -48 - (18²)/12 = -75

The vertex form 3·(x - 3)² - 75

c) The standard form of the quadratic equation, y = a·x² + b·x + c

The standard form of the quadratic equation is y =  3·x² - 18·x - 48.

Someone could help me with this which would be the answer?

Answers

I’m pretty sure its 9
I think the answer is 9 (srry if I was not helpful)

74ft
24ft
b
What is the length of the missing leg?

Answers

Answer: 70

Step-by-step explanation:

a^2 + b^2 = c^2

24^2 + b^2 = 74^2

576 + b^2 = 5,476

-576             -576

b^2             =4,900

(square root)

b                 =70

In a class of 50 students, 40% are girls. Find the number of girls and number of girls in the class.​

Answers

50 * 0.40 = 20 girls in class
50-20 = 30 boys in class

Answer:

20 girls.

Step-by-step explanation:

40% * 50

= 20

Hope this helped!

Which of the following pairs of terms are like terms?
A"3x and 2b
B:7 and 7y
C:3p and 4p

​​

Answers

Answer:

C

Step-by-step explanation:

they have the same variable

Expand.
a)3(x - 2)
b)2(y + 4)
c)8(3 + x)

Answers

Answer:

[tex]a \: 3x - 6 \\ b \: 2y + 8 \\ c \: 8x + 24[/tex]

Step-by-step explanation:

All we have to do is multiply accordingly. I'll use a for an example.

So for the value before the perentheses we multiply that by all of the values in the perentheses.

[tex]3x \: and \: - 6[/tex]

So the correct answer would be

[tex]3x - 6[/tex]

You can use the same strategy for all the questions, but I'll just answer those straight away.

Also you may notice I put the variable before the constant in question c because the variable should always go before the constant in expressions and equations.

The answer is 3x-6 i really hope this helped :)

A machine can print 300 t shirts in 10 mins. How many t shirts can the michine print in 1 min

Answers

Answer:

It can print 30 t-shirts in one minute

Step-by-step explanation:

300÷10=30

Answer:

30 in 1 minute

Step-by-step explanation:

300/10=30

can i get brainliest?

fine the y-intercept of the line on the graph.​

Answers

Where is the picture of the graph?

Where are the 4th roots of 16i located?

a) on a circle with radius 1.7
b) on a circle with radius 2
c) on a circle with radius 2.5
d) on a circle with radius 4

Answers

Answer:

B) on a circle with radius 2

Step-by-step explanation:

got it right on edge :)

The 4th roots of 16i is located b) on a circle with radius 2

How to determine the location of the fourth root?

The complex number is given as:

Number = 16i

Take the fourth root

[tex]Root = \sqrt{16i[/tex]

Take the fourth root of 16

[tex]Root = 2\sqrt{i[/tex]

The number before the radicand represents the circle radius

Hence, the 4th roots of 16i is located b) on a circle with radius 2

Read more about complex numbers at:

https://brainly.com/question/10662770

#SPJ6

3 is to 14 as 12 is to what number?

O 3.5
O 2.6
O 42
O 56

Answers

12 is to 56 is the correct answer or just option D lol :)

Answer:

12 is to 56

Step-by-step explanation:

hope it helped have a good day :))

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