Find a general term a, for the sequence whose first four terms are given.
6, 14, 22, 30,...

Answers

Answer 1

Answer:

  an = 6 +8(n -1)

Step-by-step explanation:

Usually, you're asked for a general term when you're studying arithmetic and/or geometric sequences. One way to tell which kind of sequence you have is to look at the differences between adjacent terms. If they are all the same, the sequence is arithmetic, and the general term is ...

  an = a1 +d(n -1)

where a1 is the first term, and d is the common difference.

Here, the differences are ...

  14 -6 = 8

  22 -14 = 8

  30 -22 = 8

These are all the same, hence a "common" difference. The first term is 6, so the general term is ...

  an = 6 +8(n -1)


Related Questions

what is the answer to
10 + (-4)

Answers

Answer:

6

Step-by-step explanation:

Note the rules for signs directly next to each other:  

If there is two positive signs, the result will be positive.

If there is one positive and one negative sign, the result will be negative.

If there is two negative signs, the result will be positive.

In this case, there is a positive and a negative sign. You are, therefore, subtracting 10 with 4:

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

6 is your answer.

~

if Kyle's terrarium had a volume of 64 ft3 ,what would the edge length be?

Answers

Answer:

4 ft

Step-by-step explanation:

Volume of a cube = [tex]x^{3}[/tex] (where x equals the side/edge length)

V = [tex]x^{3}[/tex]

64 = [tex]x^{3}[/tex]

64 divided by 3 = 4 ft

PLEASE HELP ALGEBRA 2!!

Answers

Answer:

8- option 4

9- option 2

10-option 1

solve for the equation 2x+9=3x

Answers

The answer for the equation is x=9 hope this helps

?show that 33105 is divisible by 15?​

Answers

Answer:

um 2207 times 15 is 33105

81 minus 39




And can you explain how plz?. Lol i meed it asapp

Answers

Answer:

42

Step-by-step explanation:

[tex]81-39\\\\\mathrm{Line\:up\:the\:numbers}\\\begin{matrix}\space\space&8&1\\ -&3&9\end{matrix}\\\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}\\\begin{matrix}\space\space&8&\textbf{1}\\ -&3&\textbf{9}\end{matrix}\\\\\mathrm{The\:bottom\:number\:is\:larger\:than\:the\:upper\:number.\:\:Try\:to\:'borrow'\:a\:digit\:from\:the\:left.}\\\\\mathrm{Borrow\:}1\mathrm{\:from\:}8\mathrm{.\:\:The\:remainder\:is\:}7\\[/tex][tex]\begin{matrix}\space\space&\textbf{7}&10\\ \space\space&\textbf{\linethrough{8}}&1\\ -&\textbf{3}&9\end{matrix}\\\\\mathrm{Add\:}1\mathrm{\:ten\:to\:}1:\quad \:10+1=11\\\begin{matrix}\space\space&7&\textbf{11}\\ \space\space&\linethrough{8}&\textbf{\linethrough{1}}\\ -&3&\textbf{9}\end{matrix}\\\\\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}:\quad \:11-9=2\\[/tex]

[tex]\frac{\begin{matrix}\space\space&7&\textbf{11}\\ \space\space&\linethrough{8}&\textbf{\linethrough{1}}\\ -&3&\textbf{9}\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{2}\end{matrix}}\\\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}:\quad \:7-3=4\\\\\frac{\begin{matrix}\space\space&\textbf{7}&11\\ \space\space&\textbf{\linethrough{8}}&\linethrough{1}\\ -&\textbf{3}&9\end{matrix}}{\begin{matrix}\space\space&\textbf{4}&2\end{matrix}}[/tex]

where the digit 1 sits in this number.

712,662,522,097

Answers

Answer:

ten billionths place

Step-by-step explanation:

2. Which of the follow is equivalent to the quantity below? *
(1 Point)
2-1
3
1
2




Need help!!!!!!!!!!!!!

Answers

1

2-1=1

Brainliest?pls

a and Ly started sung money at the same time for Christmas gis erika started with $100 and added $35 a week. Uly saved $60 a week and
started with 25. How many weeks will it take for them to have the same amount of money saved for Christmas gifts?
weeks torna and Ly to have the same amount of money saved up

Answers

Answer:

Step-by-step explanation:

Erika: y = 35x + 100

Ly: y = 60x + 25

60x + 25 = 35x + 100

25x + 25 = 100

25x = 75

x= 3 weeks

Erika: y = $35(3) + 100= 105 + 100 = $205

Ly: 60(3) + 25 = 180 + 25 = $205

Charlotte wants to solve the equation 6(2x+1) – 3 = 4x – 5. Which step would be an appropriate first step for Charlotte to take to solve for x? I need help!!!

Answers

Answer:

6(2x+1) – 3 = 4x – 5

Firstly multiply

12x + 6 -3 = 4x-5

12x - 4x = -5-3

8x = -8

x =-1

The appropriate first step for Charlotte to take to solve for x is expanding the brackets and the solution of the given equation is x = -1.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign =

Now the given equation is,

6(2x+1) – 3 = 4x – 5

So, appropriate first step to take to solve for x is expanding the brackets so, expanding the brackets we get,

12x + 6 – 3 = 4x – 5

or, 12x + 3 = 4x – 5

Taking alike terms together we get,

12x - 4x = – 5 - 3

Solving we get,

8x = -8

Dividing both side by 8 we get,

x = -1

which is the required solution of the given equation.

Thus, the appropriate first step for Charlotte to take to solve for x is expanding the brackets and the solution of the given equation is x = -1.

To learn more about equations :

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5 x 5=? plz im dum lol

Answers

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

5 x 5 = 25

I need help on 27-30

Answers

The answer is -3 because you could do 27-27 which would give you 0 and you would have 3 left over so you would take that away and it gives you -3
the answer is negative 3

if M is the midpoint of AB, find the coordinates of A if B(4,-6) and M(1,-2) A is ___.

Answers

Answer:

work is attached and shown

Xavier currently pays $11.50 per movie he downloads with his current movie package. a new movie package charges $10 per movie downloaded with a $15 joining fee. How many movies would he need to download for him to want to switch?

Answers

Answer:

4

Step-by-step explanation:

after paying for 4 movies he's spent more than how much he would pay at the other one for downloading 4 movies

Which step can you use to solve the equation t - 8= -3?
O Add 8 to each side of the equation.
Subtract 8 from each side of the equation.
O Multiply each side of the equation by 8.
O Divide each side of the equation by 8.
Solve the equation t-8=
3.

Answers

You will need to add 8 to the other side of the equation to get t = -3 + 8

Which is an example of deductive reasoning?

Answers

Answer:

In deductive reasoning, if the given facts are true and you apply the correct logic, then the conclusion must be true.

Step-by-step explanation:

Answer:

All even numbers are divisible by 2. The number 18 is even, so it is divisible by 2.

Step-by-step explanation:

help please!
find the value of x so that the figures have the same perimeter

Answers

Answer: 7

Step-by-step explanation: For the first figure, 7 + 3 = 10, so the perimeter would be 10 + 10 + 7 + 7, which equals Perimeter = 34. For the other figure, 7 - 4 = 3, so 3 + 14 + 14 + 3 = 34, also. Hope this helps!

12 POINTS I NEED SOMEONES HELP BEFORE THIS DAY FINISHES
A town has a population of 2000 and grows at 4% every year. Write an
equation to represent the scenario

Answers

Answer:

2000+ (2000× .04x)

Step-by-step explanation:

2000 people plus the percent that it grows, found by multiplying .04 (4%) by the original number. the x is the number of years

Use the distributive property to remove the parentheses.
Simplify your answer as much as possible.

1/4(12+8x)

Answers

Answer:

3+2x

Step-by-step explanation:

Distribute the equation out.

1/4(12+8x)

(1/4*12)+(1/4*8x)

Multiple those out to get a new equation

3+2x

You cannot add those together because of the variable. Theres no way of knowing what x equals so this is as far as you can go therefor making the answer 3+2x

The amount of money invested in a retirement fund is an example of which of the following?
a investment asset
b. liquid asset
C. long term asset
d. use asset

Answers

Answer: A

Step-by-step explanation:

Your investing for your future so it will investment asset

What is the result when the number 10 is decreased by 5.1%?

Answers

Answer:

(10/100)*94.9 = 9.49

Step-by-step explanation:

Divide by 100 and multiply by 100-5.1 = 9.49

Marco walked 27/100 kilometer to the park. then he walked 3/10 kilometer to the library. What fraction of a kilometer did he walk in all?

Answers

Answer:57/100

Step-by-step explanation:

First, convert 3/10 into hundreths to get a denominator equal to the other:

3/10 km = 30/100km

Add the numerators: 27+30=57

Place numerator over common denominator: 57/100

Cuanto es la respuesta de -126=14k?

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \text{k = - 9}}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \text{ - 126 = 14k}}[/tex]

[tex] \text{step \: 1 \: : Intercambia los lados de la ecuación}[/tex]

[tex] \hookrightarrow{ \sf{14k = - 126}}[/tex]

[tex] \text{step \: 2 : Divide ambos lados por 14}[/tex]

[tex] \hookrightarrow{ \sf{ \frac{14k}{14} = \frac{ - 126}{14}}} [/tex]

[tex] \text{step \: 3 \: : Calcular}[/tex]

[tex] \hookrightarrow{ \sf{k = - 9}}[/tex]

[tex] \text{el valor de k es - 9}[/tex]

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

Translation in English:

Step 1 : Swap the sides of the equation

Step 2 : Divide both sides by 14

Step 3 : Calculate

[tex] \sf{Hope \: i \: helped ! }[/tex]

[tex] \sf{Best \: regards !!}[/tex]

~[tex] \sf{TheAnimeGirl}[/tex]

Can you put that in English please thanks.

Help me plz I don't know how to this I don't understand!!!

Answers

The answer is B.

In order for this chart to be true, each x and y pair must be proportional to the other ones. (in other words, each row of x and y should increase the same amount as the other ones.)

look at the first row. we can write this as 3/5 (x over y). then look at the third and fourth row. 6/10 = 3/5, and 9/15 = 3/5, so the pairs are proportional.

Write an integer for: a deposit of $45 * Plz help fast!

Answers

Answer:

$45

Step-by-step explanation:

A deposit is positive, so the integer will be positive.An integer is a whole number that's not a fraction, so a positive integer for 45, would be 45.

I hope this helps!

An integer is a whole number that's not a fraction, thus a positive integer for 45, would be 45.

What are  integers?

Natural numbers are: 1, 2, 3, ....

Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )

Rational numbers are numbers which can be written in the form of a/b where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.

Irrational numbers are those real numbers which are not rational numbers.

Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

We have to write an integer for: a deposit of $45 *

A deposit is positive, therefore the integer will be positive.

An integer is a whole number that's not a fraction, thus a positive integer for 45, would be 45.

Learn more about numbers here;

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What is the simplified expression for 5ab+9ab-ab? 0 12ad O 13ab 0 15ad O 16ab​

Answers

Answer:

13ab

Step-by-step explanation:

5ab+9ab = 14ab. 14ab-1ab=13ab.

Good luck

What is 67840000000 in scientific notation ?

Answers

Answer:

6.784 × 10¹⁰

Step-by-step explanation:

→ First count the number of 0's

0000000 = 7 zero's

→ Count how many decimal places until a single digit

6.784 = 3 decimal places

→ Add the number of zero's with the decimal place's

7 + 3 = 10

6.784 × 10¹⁰

Answer:

6.784 times 10^10

Step-by-step explanation:

Hopes this helps :)

Can I pls get a brainliest

Kelly and Daniel surveyed 6 of their friends to find the number of pets in each of their households. They recorded the results from each home in a list. 4, 1, 2, 1, 0, 1 What is the mean absolute deviation of this data set? Enter your answer in the box.

Answers

Answer:

67

Step-by-step explanation:

Answer:

The mean absolute deviation is 1

Step-by-step equation =

Take all of the numbers and add them together.

4+1+2+1+0+1= 9

Then divide by how many numbers there are. In this word problem its 6.

Divide 9 by 6.

9 ÷ 6 = 1.5

So 1.5 would be our mean.

To find the mean absolute deviation subtract our mean and our original numbers.

1.5 - 4 = 2.5

1.5 - 1 = 0.5

1.5 - 2 = -0.5

1.5 - 1 = 0.5

1.5 - 0 = 1.5

1.5 - 1 = 0.5

Add all of those numbers together.

2.5 + 0.5 + 0.5 + 0.5 + 1.5 + 0.5 = 6

Even though one of the numbers was a negative answer we add it as a positive because the mean absolute deviation can never be negative

Divide by the amount of numbers you added.

6 ÷ 6 = 1

So the mean absolute deviation is 1

I also took the test that had 10 questions and got a 100

I'm pretty late to answer but hope this helps for others in the future

I learned this like a week or less ago so my explanation might not make the most sense.

Phil has drawn some house plans in which the lounge room will be 9.5 m long when it is built. This length has been drawn as 19cm on the house plan. What scale did Phil use for his house plans?

Answers

Answer:

1:50 scale

Step-by-step explanation:

9.5m * 100 = 950cm

950/19 = 50

I need helpp asap pleasee

Answers

Answer:

0

Step-by-step explanation:

im pretty sure the answer is 0. bc -17-(-17)=0 and the square root of 0 is 0.

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