hello i would like help and the answer to this please; what is the nth term rule of
-5 -4 -1 4 1 1 20 31

Answers

Answer 1

Answer:

The nth term of the given sequence

[tex]a_{n} = a_{n-1} + (2n-1)[/tex]

Step-by-step explanation:

Explanation:-

Given sequence  -5,-4,-1,4,11,20,31

a₀ = -5

a₁ = a₀ +1 = -5 +1   = -4

a₂ = a₁ + 3 = -4+3  = -1

a₃ = a₂ + 5 = -1 +5 = 4

a₄ = a₃ + 7 = 4 + 7  =11

a₅ = a₄ + 9 = 11+9 = 20

a₆ = a₅ + 11 =  20+11 = 31

a₇ = a₆ + 13 = 31 +13 =44

and so on

The nth term of the given sequence

[tex]a_{n} = a_{n-1} + (2n-1)[/tex]


Related Questions

which digit 1,634,677 has value this is greater than 10 times the value of the fight digit to its right

Answers

Answer:

The ones digit or the First 7 to the left

Step-by-step explanation:

Since 10 times more

so ones place is 7

Tens place is 70

hunreds place is 600

thousands is 4000

ten thousands is 30,000

hundred thousands is 600,000

Million’s digit is 1,000,000

So since the only one with a 10 times difference is 7

So 7

How much is an X block worth in the image below?

Answers

Answer:

x = 2

Step-by-step explanation:

2x + 1 = 5

Step 1: Subtract +1 and 5 by -1

2x = 4

Step 2: Divide both 2x and 4 by 2

x = 2

An X block is worth 2 in the image.

Which expression is equivalent to 8(a-6)?
О 8a-48
O 2а
О 8а-6
O 48а

Answers

Answer:

The answer is A) 8a-48

Step-by-step explanation:

The answer is A. 8a-48. Because if you multiply 8 by everything inside of the parentheses you get 8*a-8*48


(* = multiplication)

Yo look at how shiny this fish tank is..... I have to use this as a reference for math.

Answers

Answer:

That is the shiniest fish tank I've ever seen!

X - 4 <-4+ what’s the answer?

Answers

Answer:

Step-by-step explanation:

the answer is x<0

because

x-4+4<-4+4

can someone help me with this asap!!

Answers

Answer:

the answer is c

Step-by-step explanation:

because the value of y is the same but the value of x has different sign

Nora invested $6,300 in an account paying an interest rate of 7\tfrac{3}{4}7 4 3 ​ % compounded continuously. Ella invested $6,300 in an account paying an interest rate of 7\tfrac{1}{4}7 4 1 ​ % compounded monthly. After 11 years, how much more money would Nora have in her account than Ella, to the nearest dollar?

Answers

Answer:

824

Step-by-step explanation:

DELTAMATH

The amount of money would Nora have more in her account than Ella after 11 years is $714 to the nearest dollar.

What is compound interest?

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

[tex]A=P\times\left(1+\dfrac{r}{100}\right)^{t}\\[/tex]

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Nora invested $6,300 in an account paying an interest rate of 7(3/4)% compounded continuously. Convert this rate of interst in fractional form as,

[tex]r=7\dfrac{3}{4}\\r=\dfrac{31}{4}[/tex]

The principal amount of Nora is $6300 and time period is 11 years. Thus the amount in her account after 11 years will be,

[tex]A=6300\times\left(1+\dfrac{31}{4\times100}\right)^{11}\\A=14319.59[/tex]

Ella invested $6,300 in an account paying an interest rate of 7\tfrac{1}{4}7 4 1 ​ % compounded monthly.  Convert this rate of interst in fractional form as,

[tex]r=7\dfrac{1}{4}\\r=\dfrac{29}{4}[/tex]

The principal amount of Elia is $6300 and time period is 11 years. Thus the amount in her account after 11 years will be,

[tex]A=6300\times\left(1+\dfrac{29}{4\times100}\right)^{11}\\A=13605.39[/tex]

The differnce is,

[tex]d=14319.59-13605.39\\d=714.20\\d\approx714[/tex]

Thus the amount of money would Nora have more in her account than Ella after 11 years is $714 to the nearest dollar.

Learn more about the compound interest here;

https://brainly.com/question/24274034

describe the transformation.

Answers

Answer B) reflection across the x axis.

Brainliest?

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!

Answers

Answer:

x = 6

Step-by-step explanation:

Here, we are to find the value of x

Applying the side splitter theorem, we have that;

10/30 = 2/x

Thus;

10 * x = 30 * 2

10x = 60

x = 60/10

x = 6

The value of a bicycle was recorded over a period of five years. Based on how the plot of residuals might look, would a linear function that passes through (0,250) and (4,25) be a good fit for the data shown?

Answers

No the residuals would be one sided.
notice how all the other plot points would be under the line? We want a line that represents the data more equally

Answer: The Fourth one

Step-by-step explanation: I took the test

the equation of line p is y= -7/8x + 3/2. line q is parallel to line p. what is the slope of line q?

Answers

Answer:

-7/8

Step-by-step explanation:

If two lines are parallel, they have the same slope. The slope of p is -7/8 (y=mx+b), so the slope of q is also -7/8.

A math club receives a 12% discount on calculators. If each calculator costs $15 before the discount, how much will the club spend on 60 calculators after the discount?
A. $108
B. $180
C. $792
D. $900

Answers

I got 792 as the answer

....... Math practice

Answers

First two blanks are 1.2
Last blank is 4
First are 1.2 Last is 4

Sylvia earns $7 per hour at her afterschool job. One week she worked several hours and received a paycheck for $91. Write and solve an equation to find the number of hours in which Sylvia would earn $91.

Answers

91=7x
X = 13

Let x equal the amount of hours she worked at the job.

what is the angle relationship?

Answers

Answer:

alternative angle is the correct answer

Find all missing angles.

M<1 =
M<2=
M<3=
M<4=
M<5=
Can somebody help me!!

Answers

Answer/Step-by-step explanation:

✅m<1 = 180 - 52° = 128° (consecutive interior angles)

✅m<2 and 52° are alternate interior angles. Alternate interior angles are congruent.

Therefore:

m<2 = 52°

✅m<3 and 47° are alternate interior angles. Alternate interior angles are congruent.

Therefore:

m<3 = 47°

✅m<4 = 180 - m<3 (linear pair)

m<4 = 180 - 47 (substitution)

m<4 = 133°

✅m<5 = 180 - (52 + 47) (angles on a straight line)

m<5 = 81°

Enter an equation in standard form to model the linear situation.
A barrel of oil was filled at a constant rate of 6.2 gal/min. The barrel had 9 gallons before filling began.

Answers

Answer: 9 + 6.2x = y

Step-by-step explanation: x - Gallons per minute

y - Total gallons

So, your answer would be:

9 + 6.2x = y

Could also be written as:

y = 9 + 6.2x

Hope this helps :)

Answer:

k

Step-by-step explanation:

Help me, it's like the walls are caving in
Sometimes I feel like giving up. Laying on the bathroom floor, feeling nothing
I'm overwhelmed and insecure, give me something
I could take to ease my mind slowly
Just have a drink and you'll feel better
Just take her home and you'll feel better
Keep telling me that it gets better
Does it ever?
Help me, it's like the walls are caving in
Sometimes I feel like giving up
No medicine is strong enough
Someone help me
I'm crawling in my skin
Sometimes I feel like giving up
But I just can't
It isn't in my blood
It isn't in my blood
I'm looking through my phone again, feeling anxious
Afraid to be alone again, I hate this
I'm trying to find a way to chill, can't breathe, oh
Is there somebody who could help me?
It's like the walls are caving in
Sometimes I feel like giving up
No medicine is strong enough
Someone help me
I'm crawling in my skin
Sometimes I feel like giving up
But I just can't
It isn't in my blood
It isn't in my blood
I need somebody now
I need somebody now
Someone to help me out
I need somebody now
Help me, it's like the walls are caving in
Sometimes I feel like giving up.
My mind is a mess and noone can fix it ​

Answers

It's cause you're using Discord on Light Mode. Change it to Dark Mode and see what happens.

Answer:

i dont understand the question but thats horrible what those people said

Step-by-step explanation:

Evaluate the following expression.
Let y = 4
and z = 2
8y + 12 - 2z
20

Pls help doing a test

Answers

Answer:

40

Step-by-step explanation:

y = 4

z = 2

8y + 12 - 2z

8(4) + 12 - 2(2)

32 + 12 - 4

44 - 4

40

Answer:

40

Step-by-step explanation:

selling price=3430 and discount percentage=2 Percentage​

Answers

Answer:

Market price = 3,361.4 (Approx.)

Step-by-step explanation:

Given:

Selling price = 3,430

Discount percentage =2 %

Find:

Market price

Computation:

Market price = Selling price [1-2%]

Market price = 3,430 (1-2%)

Market price = 3,361.4 (Approx.)

Here are the ingredients needed to make 8 pancakes.
250 ml milk
1 egg
140 g flour
5g butter
a
Simon makes 32 pancakes.
Work out how much milk he needs.
b)
Craig makes 20 pancakes.
Work out how much flour he needs.
GO

Answers

Answer:

A. 1,000 ml milk B. 3,500 g flour

Step-by-step explanation:

Divide: 250 divided by 8. You get 31.25.

Multiply: 31.25 times 32. You get 1,000

Divide: 140 divide by 8. You get 17.5

Multiply: 17.5 times 20. You get 3,500

Hope I helped!! :) Sorry if it's wrong! :(

what is the distance between (-1, 2) and (3, 5)

Answers

Answer

the slope is 3/4 or .75

Answer:

The distance is 5 units.

Step-by-step explanation:

Key Skills needed for this problem: Distance Formula, Coordinate Plane Understanding, Radicals, Subtraction, Exponents, Addition

1) We are given 2 points --> (-1,2) and (3,5)

2) To find out the distance between both, we use distance formula.

This is: Given 2 points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], the distance between the 2 points would be: [tex]\sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex].

3) For the points (-1,2) and (3,5):

-1 is x12 is y13 is x25 is y2

4) Therefore it would be --> [tex]\sqrt{(-1 - 3)^{2} + (5-2)^{2}}[/tex]

5) This simplified would be [tex]\sqrt{(-4)^{2} + 3^{2}}[/tex]

6) This further simplified would be: [tex]\sqrt{16 + 9}[/tex]

7) This even more simplified would be [tex]\sqrt{25}[/tex] which is 5.

Therefore, the distance between the 2 points is 5 units.

Hope you understood and have a nice day!! :D

Solve the following compound inequality: 3<-2x-137.
a. -2 c. -1 < b. -2>x2-4
d. -1 >x2-3

Answers

Answer:

Step-by-step explanation:

Here you go mate

PEDMAS

STEP 1

3<-2x-137  equation

STEP 2

3<-2x-137  simplify by reversing equation

-2x-137>3

STEP 3

-2x-137>3   simplify

-2x>140

step 4

-2x>140   look for a number that can divide the two numbers like 2

-2x /-2 > 140 /-2

1>-70

answer

x>-70

Fill in the missing statements and reasons in the proof.
(Points are high because I really need the answer)

Answers

Answer:

Vertical angles

Step-by-step explanation:

Those two angles are vertical angles, are vertical angles are congruent.

The reason  ∠ ABC ≅ ∠DBE is that they are vertically opposite angle.

What is a Triangle ?

A triangle is a polygon with three sides and three angles and three vertices.

The diagram is given and it is been asked to fill the missing statement

The ∠ ABC ≅ ∠DBE  Reason = ?

The line CE and AD intersects each other at a vertex B and forms vertically opposite angles and so they are equal.

Therefore the reason  ∠ ABC ≅ ∠DBE is that they are vertically opposite angle.

To know more about Triangle

https://brainly.com/question/2773823

#SPJ2

Can you please help?

Answers

Answer:

what do you need help with

You want to buy a souvenir hat for $12.00. At the cash register, the sales clerk advises you that the total amount due, including tax, is $12.72. What is the sales tax (%) in this state?

Answers

Answer:

% English dictionary, words common to American and British

% spelling; must add one out of each of the pairs

%   colour/color.dic

%   labelled/labeled.dic

%   centre/center.dic

%   ize/ise.dic

% Extracted from US.dic and UK.dic, but with the 2 and 3 letter words

%  of US.dic only.

% Patrick W. Daly   1998/05/19

% Update:  2000/03/02

% remove -yze and -yse words to yse.dic and yze.dic

% move advertise to here (is never advertize)

Step-by-step explanation:

Answer:

The sale tax in this state is 6%

Step-by-step explanation:

In order to find out the the sales tax we first have to create a fraction which has the difference between the price with taxes and without taxes, as its numerator, and the price without taxes as its denominator. So we do...

[tex]\frac{12.72-12.00}{12.00} = \frac{1272 - 1200}{1200} = \frac{72}{1200} = \frac{3}{50}[/tex]

Now we just have to find a fraction with the same value but with a denominator being 100. So in out case we do....

[tex]\frac{3}{50} = \frac{(3)(2)}{(50)(2)} = \frac{6}{100}[/tex]

Since we know that 1% is equal to [tex]\frac{1}{100}[/tex] we know that [tex]\frac{6}{100}[/tex] also means 6%. Therefore the answer is 6%

Find the equation of the line perpendicular to 2x + 3y = -5 and
passing through (3, -5). Write the equation in standard form.

Answers

Answer:

3x - 2y = 19

Step-by-step explanation:

y = mx + b

The slopes of perpendicular lines are opposite reciprocals:

[tex]m_{1}[/tex] [tex]m_{2}[/tex] = - 1

~~~~~~~~~~~~

2x + 3y = - 5

y = - [tex]\frac{2}{3}[/tex] x - [tex]\frac{5}{3}[/tex]

(3 , - 5 )

Slope of perpendicular line is [tex]\frac{3}{2}[/tex]

y - ( - 5) = [tex]\frac{3}{2}[/tex] (x - 3)

y + 5 = [tex]\frac{3}{2}[/tex] x - [tex]\frac{9}{2}[/tex]  

y = [tex]\frac{3}{2}[/tex] x - [tex]\frac{19}{2}[/tex]

3x - 2y = 19

Match the two numbers with their least common multiple (LCM).

Match Term Definition
8 and 4 A) 8
8 and 6 B) 40
8 and 10 C) 24

Answers

Answer:

8 and 4: A8 and 6: C8 and 10: B

Step-by-step explanation:

8 and 4:

Multiples of 8: 8, 16, 24

Multiples of 4: 4, 8, 12, 16

8 and 6:

Multiples of 8: 8, 16, 24

Multiples of 6: 6, 12, 18, 24

8 and 10:

Multiples of 8: 8, 16, 24, 32, 40

Multiples of 10: 10, 20, 30, 40

Answer: 8 and 4.   A

              8 and 6.   C

              8 and 10.  B

Step-by-step explanation: hope this helped

can some one help me with this trigonometry problem?
CotA + cot(60+A)-cot(60-A)=3cot3A
how can i prove this ?

Answers

Step-by-step explanation:

Hope it will help you ❤❤

Point M is the midpoint of AB. The coordinates of point A are (-6, 2) and the coordinates of M are (-4, 2).
What are the coordinates of point B?
The coordinates of point B are

Answers

Answer:

B (-2, 2)

Step-by-step explanation:

The midpoint equation is:

[tex]x \frac{}{m} = \frac{x \frac{}{2} + x \frac{}{1} }{2} [/tex]

[tex]y \frac{}{m} = \frac{y \frac{}{2} + y \frac{}{1} }{2} [/tex]

Then:

[tex]x \frac{}{1} = 2x \frac{}{m} - x \frac{}{2} [/tex]

[tex]y \frac{}{1} = 2y \frac{}{m} - y\frac{}{2}[/tex]

[tex]x \frac{}{1} = 2( - 4) - ( - 6) \\x \frac{}{1} = - 8 + 6 \\ x \frac{}{1} = - 2[/tex]

[tex]y \frac{}{1} = 2(2) - 2 \\ y \frac{}{1} = 4 - 2 \\ y \frac{}{1} = 2[/tex]

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