Consider the sequence: 6, 10, 14, 18, 22,. . . . For this sequence, what is a3? a3 =.

Answers

Answer 1

Answer:

14

Step-by-step explanation:

A sequence is given to us , which is ;

[tex]\longrightarrow 6,10,14,18,22 [/tex]

We need to find out the third term of the sequence . The third term is 14 which is itself given in the question . We can also find it as ,

The given sequence is in Arithmetic progression since a common number is added to get the next term of the sequence .

Firstly let's find out the common difference . For this we can subtract any two consecutive terms . So ,

[tex]\longrightarrow d = 10 -6\\[/tex]

[tex]\longrightarrow d =4 [/tex]

Now we know that the general term of the sequence in an AP is given by ,

[tex]\longrightarrow T_n = a + (n-1)d [/tex]

The first term is 6 and common difference is 4 . On substituting the respective values ,

[tex]\longrightarrow T_3 = 6 + (3-1)4\\[/tex]

[tex]\longrightarrow T_3 = 6 + 2(4)\\[/tex]

[tex]\longrightarrow T_3 = 6 +8\\ [/tex]

[tex]\longrightarrow \underline{\underline{T_3=14}} [/tex]

This is the required answer!


Related Questions

Cone A and Cone B both have a height of 5 inches. The volume of Cone A
is 20.9 cubic inches. The volume of Cone B is 4 times the volume of Cone A.
About how many times longer is the diameter of Cone B than the diameter
of Cone A

Answers

Answer:

cone A= 20.9×5=104.5

cone B= 5×4=20

20×20.9=418

cone B -cone A = -313.5

Please help?
I don’t understand

Answers

Answer:

hi there the correct answer is b

Step-by-step explanation:

What is an equation of the line that passes through the points (-5, 1) and (5,5)

Answers

Answer:

Equation: y = 0.4x + 3.

Step-by-step explanation:

picture

Which is the equation of the following line.

Answers

Answer:

D

Step-by-step explanation:

D

0 is the y intercept and -4 is the slope.

Answer:

D. y = -4x

Step-by-step explanation:

First, find the slope:

m = (-8 - 0) / (2 - 0)

[tex]m = -\frac{8}{2}[/tex]

Use slope-intercept form:

[tex]y = -\frac{8}{2}x[/tex]

[tex]y = -4x[/tex]

Last question im putting all my points into this pleae help! 50 points!

Answers

Answer:

10 inches

Step-by-step explanation:

refer the image

please help (images below)

Answers

Answer:

2) D

because:

[tex] \frac{9}{1} \times 4 \\ 9 \times 4 \\ 36 \: is \: not \: equal \: to \: 4[/tex]

4) B

because:

[tex] \frac{5}{5} \times 8 \\ 1 \times 8 \\ 8 \: is \: equal \: to \: 8[/tex]

Question 1 (5 points)
Dilate the rectangle below by a scale factor of 2. If the current side lengths are 15
and 8, what are the side lengths on the new dilated rectangle?
In your answer, give the new side lengths for the dilated image and explain how you
calculated them.

Answers

Answer:

AB and CD would be 30

AC and BD would be 16

Step-by-step explanation:

The scale factor is what you multiply the sides by. Dilate means wider or larger so you multiply each side by the scale factor of 2 to get the higher scaled rectangle.


Find at least five solutions to graph the linear equation 0x -
3y = 15

Answers

Answer:

Any points across y=5. ex: (-2,5) (0,5) (1,5), (3,5) (4,5)

Step-By-Step Solution

(3y=15)/3 divide all by 3

and get y=5

any 5 points that gave y=5 will work

What is the solution for the equation? 14. 8 = n minus 0. 3 n = negative 15. 1 n = negative 14. 5 n = 14. 5 n = 15. 1.

Answers

Answer:

Step-by-step explanation;

3, 4, 5), while (m, n) = (5,2) gives the ... x 2 + 29x + 210 = (x + 15)(x + 14) and x2 + 29x - 210 = (x + 35)(x - 6)

tanya is 1.6m tall and sid is 2m tall find the ratio of tanya height to sid’s height

Answers

Answer:

4 : 5

Step-by-step explanation:

tanya : sid = 1.6 : 2 ( divide both parts by 0.4 )

                  = 4 : 5

Pls answer w/ clear instructions

Answers

Answer:

7 and 8

Step-by-step explanation:

7^2=49

8^2=64

49+64=113

Answer:

7 and 8

Step-by-step explanation:

What is the value of the rational expression 6-x/ x+5 when x= 2

A.)4/7
B.)4/5
C.)8/7
D.)8/5
(Please do hurry.)

Answers

Answer:

A

Step-by-step explanation:

(6-2)/(5+2)

4/7

Answer:

4/7              6 -2/2+5 = 4/7

simple

The infield of a softball
diamond is shaped like a
square. If the distance
between bases is 60 feet,
Find the diagonal distance
From third base to First
base

1-84.9
2-11.9
3-12.5

Answers

Answer:

84.9

Step-by-step explanation:

The distance between first and third base makes the hypotonus of a triangle where the lengths of the legs are each 60 feet. To find the hypotonus, add (60)^2 + (60)^2 to get 3600 +3600 = 7200. Then square root 7200 to get the distance between first and third as 84.9

Help quick this is Algebra

Answers

Answer:

D. 4z + 20

Step-by-step explanation:

side length of the square : ( z + 5 )

[tex] {z}^{2} + 10z + 25 \\ {z}^{2} + 5z + 5z + 25 \\ z(z + 5) + 5(z + 5) \\ (z + 5)(z + 5) \\ [/tex]

perimeter of the square :

[tex](z + 5) \times 4 \\ 4z + 20 \\ [/tex]

In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 3/4 of the drink is apple juice and 1/10 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form.​

Answers

Answer:

15/20 : 2/20 : 3/20 or you could put 3/4 : 1/10 : 3/20 but that's up to your teacher

Step-by-step explanation:

We know that there are 3 ingredients.

3/4 apple juice

1/10 orange juice

We want to know how much cranberry juice to apple juice to orange juice.

First, let's start with getting common denominators.

The LCD (least common denominator) between these two fractions is 40. (4 * 10)

So:

3/4 * 10/10  = 30/40

1/10 * 4/4 = 4/40

Now we know them with equal denominators. Now let's subtract them from the whole (40/40) to find out how much cranberry juice.

40/40 - 30/40 - 4/40 = 6/40

Cranberry juice = 6/40 of the whole.

Now we can find the ratio in its simplest form.

30/40 : 4/40 : 6/40

Can we simplify these fractions? yes.

The can all be simplified by 2

15/20 : 2/20 : 3/20

Since 2 can't be simplified by anything but 2 or 1, and 15 and 3 cannot be simplified by 2, this is your answer.

or you could put 3/4 : 1/10 : 3/20 but that's up to your teacher.

Select all the stories that can be represented by the diagram.
Diego spends $1 on 7 Stickers and 3 marbles
Elena spends 57 on 3 notebooks and a $1 pen.
Noah shares 7 grapes with 3 friends. He eats 1 and gives each friend the same number of grapes.
Andre studies 7 hours this week for end-of-year exams. He spends 1 hour on English and an equal number of hours each on math, science, and history.
Lin spends $3 on 7 markers and a $1 pen

Answers

Answer: Choice C and Choice D

========================================================

Explanation:

Choice A doesn't work because it the $1 should be $7 instead.Choice B doesn't work because it should be Elena spending $7 total on 3 notebooks and a $1 pen. The x is the amount per notebook.Choice C does work. If x is the number of grapes Noah gives each friend, then 3x is the total amount Noah gives over. Then 3x+1 is the number of grapes total. That +1 at the end is the grape Noah eats. We end up with 3x+1 = 7 because Noah starts off with 7 grapes.Choice D works also. The x is the number of hours for math, science and history each. So 3x is the combined time of those three classes. Add on 1 to get 3x+1 to represent all 7 hours, ie 3x+1 = 7.Choice E does not work. If it was her spending $7 on 3 markers and a $1 pen, then it would work.

Answer:

[] Noah shares 7 grapes with 3 friends. He eats 1 and gives each friend the same number of grapes.

[] Andre studies 7 hours this week for end-of-year exams. He spends 1 hour on English and an equal number of hours each on math, science, and history.

Reasoning:

[✗] The first story, with Diego, does not work because the whole is $1 in the problem and $7 in the diagram.

[✗] The second story, with Elena, does not work because the 7 is ignored entirely and the x becomes a known value, 57.

[✓] The third story, with Noah, does work because he splits seven grapes equally among three friends (the x's) and eats one.

[✓] The fourth story, with Andre, does work because 7 hours were spent studying. One on English and the rest (three subjects) split evenly (x).

[✗] The fifth story, with Lin, does not work because the total is $3 when it should be 7.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

10e=1 what does e equal need this asap

Answers

Answer:

To solve for e, divide 10 from each side.. 1 divided by 10 e=0.1

What is the area of this parallelogram?

A= 19 1/2 ft

A= 42 ft

A= 61 1/2 ft

A= 71 3/4 ft

Answers

Step-by-step explanation:

Parallelogram formula: [tex]A=b(base)h(height)[/tex]

The value 6 is meant to trick you.

The height is 7, and the base is 10 1/4.

Multiply the base and height:

[tex]7 \times 10\frac{1}{4} = 71\frac{3}{4}[/tex]

The area equals: [tex]71\frac{3}{4}[/tex] [tex]ft^{2}[/tex]

help me to the this question​

Answers

Across

1 compass

2 shape

4 two pi to one

6 Pie x radius squared

8. arc

10 Point

11 radius

12 circumference

down

1 Chord

4major arc

5 Radii

7 degrees

9.circle

13 equidistant

hope this helps

I really need help!!! Some please help me.

Answers

Answer:

2

Step-by-step explanation:

5x0.4=2

.4x2=5

Answer:2 pounds

Step-by-step explanation:
Multiply 5 with .4

how do i solve b^2-5b+3

Answers

Answer:

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

part one is the first pic the second part is the one that starts with the result.

Kindly solve the question

Answers

Answer:

in the picture

Step-by-step explanation:

in the picture

Answer:

6.4 = b     and     7.8 = a

Step-by-step explanation:

Using the formula:

a^2 + b^2 = c^2

we can find the length of b

for the first triangle

now we just plug in the lengths.

5^2 + 4^2 = b^2

simplify into :

25 + 16 = b^2

add

41 = b^2

now in order to get rid of the ^2, we just find the square root of 41.

√41 ≈ 6.4

6.4 = b

Now we just need to solve for A

since we know

a^2 + b^2 = c^2 that must mean

c^2 - b^2 = a^2

so this is the formula we will be using.

now we just plug in the lengths of the second triangle into this equation.

10.5^2 - 7^2 = a^2

simplifies into

110.25 - 49 = a^2

subtract

61.25 = a^2

now we just find the square root of 61.25.

√61.25 = 7.8

7.8 = a

you can check this by putting it back in the formula

a^2 + b^2 = c^2

I will do this quickly (only for the second triangle)

we know

a = 7.8

b = 7

c = 10.5

7.8^2 + 7^2 = 10.5^2

simplifys into

60.84 + 49 = 110.25

60.84 + 49 ≈ 110

110.25 ≈ 110

110 = 110

which proves that this is correct.

Find the mZMNI.
M
15x – 12
L
6x
12x+2
N I

Answers

Answer:

The measure of angle MNI is 134 degrees

Step-by-step explanation:

That angle is equal to the sum of the opposite angles so I found x=7 and when you plug in 7 you get 135

Find x to the nearest tenth.
8
6
X

Answers

Answer:

x ≈ 5.3

Step-by-step explanation:

a²+b²=c²

c is always the hypotenuse in a right angle triangle.

6² + x² = 8²

36 + x² = 64

64 - 36 = 28

x² = 28

x = √28

Use calculator from here.

√28 = 5.29150262213

5.29150262213 ≈ 5.3

Because the number after 2, which is 9, is greater than 5, the nearest tenth is 5.3, not 5.2.

HELP ME ASAP for 37 points!! which expression is equivalent to 14.5d+8.5-1/2d+1/2+2.5d
first one 16.5d+8
second one 16.5d+9
third one 17.5d+8
fourth one 17.5d+9​

Answers

Equivalent expressions are expressions with equal values

The equivalent expression is 16.5d+9

How to determine the equivalent expression

The expression is given as:

14.5d+8.5-1/2d+1/2+2.5d

Express the fractions as decimals

14.5d+8.5-0.5d+0.5+2.5d

Collect like terms

14.5d-0.5d+2.5d+8.5+0.5

Evaluate the like terms

16.5d+9

Hence, the equivalent expression is 16.5d+9

Read more about equivalent expressions at:

https://brainly.com/question/2972832

Answer:16.5d+9

Step-by-step explanation:

bra9inly pls help me on this question

Answers

Step-by-step explanation:

area of the trapezoid = area of the 2 triangles +

area of the rectangle

i) area of triangle on left:

a = ½ bh

a = ½ × 2 × 9

a = 9 in²

ii) area of triangle on right:

a = ½ bh

a = ½ × 2 × 9

a = 9 in²

iii) area of rectangle = length × width

a = l × w

a = 12 × 9

a = 108 in²

iv) area of trapezoid = 9 + 9 + 108

= 126 in²

hope this helps you!

-s.

Can someone plss help me with these questions!!

Answers

Answer:

1 year data analysis of input and output

Please answer this for the love of God!! :(

Answers

Answer:

4(5x+4)

Step-by-step explanation:

The factors of 16 are: 1, 2, 4, 8, 16

The factors of 20 are: 1, 2, 4, 5, 10, 20x

Then the greatest common factor is 4.

4(5x+4) is the correct answer

A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 8 inches.
Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 8) would represent a height of 8 inches after 0 hours. Explain how you obtained the ordered pairs.

Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A.
Part C: If the rate at which the candle burned was 0.4 inches per hour instead of 0.5 inches per hour, would the relation be a function? Explain your answer using input and output values.

Will mark Brainlist!!!

Answers

Answer: PART A.

y= remaining height of candle

x= rate the candle burns down in inches per hour

8= original height of candle

the function would be y=8- 0.5x because the candle starts at a height of 8 feet and loses half an inch per hour.

You can use this function to create ordered pairs by putting in number at x which indicates the time:

x=1

y=8- (.5×1)= 7.5

(1, 7.5)

you can then do this for other numbers and get:

(2, 7.0) (3, 6.5) (4, 6.0) (5, 5.5) (6, 5.0)

PART B.

This equation is a function because all of the x-values had different y-values as seen in the coordinates (1, 7.5) (2, 7.0) (3, 6.5) (4, 6.0) (5, 5.5) (6, 5.0)  

PART C.

If the rate was 0.4 inches an hour, it would still be a function because the rate is the only thing that changed making the new function y= 8- 0.4x.This equation would make coordinates of (0,8) (1, 7.6) (2, 7.2) (3, 6.8) and so on with each x value creating a different y value.

Step-by-step explanation: hope this helps

In order to join the football club, you have to pay a 120 Dirhams joining fee and pay 200
Dirhams every week. Write this relation in a slope intercept form.

Answers

Answer:

y = 200x + 120

Step-by-step explanation:

One off fee is 120 Dirhams and weekly charge is 200 Dirhams.

The equation for this relation is:

y = 200x + 120, where x- the number of weeks
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