Find an expression for the nth term (tn) in each of the following sequence:

2, 6, 10, 14, 18…

Answers

Answer 1

Answer:

The answer is 34

Step-by-step explanation: I just have a big brain

Answer 2

Answer: [tex]t_n = 4n - 2[/tex]

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

Work Shown:

The first term is a = 2 and the common difference is d = 4, since we're adding 4 to each term to get the next term.

[tex]t_n = \text{nth term of arithmetic sequence}\\\\t_n = a+d(n-1)\\\\t_n = 2 + 4(n-1)\\\\t_n = 2 + 4n - 4\\\\t_n = 4n - 2[/tex]

Which is the answer.

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

If you were to plug in say n = 3, then we get

[tex]t_n = 4n - 2\\\\t_3 = 4(3) - 2\\\\t_3 = 12 - 2\\\\t_3 = 10[/tex]

showing that 10 is the third term, which matches with what the original sequence shows. I'll let you check the other values of n to fully confirm the answer.


Related Questions

what isthe area of the circle or semicircle 2.5​

Answers

Answer:

I don't know what your question was but the radius would eqaul .089 so the area is 2.5

Answer:

0.89

Step-by-step explanation:

the area of the. ..............

Can someone please solve this before I get my phone taken away?

Answers

Answer:

option 1 or should be

Step-by-step explanation:

4/1.5 is 2.6 and 2/3 as a fraction is 66666 so yeah

5 pounds of spaghetti costs 8 dollars. How much would 1 pound cost?

Answers

Answer:

1.6 dollars

Step-by-step explanation:

I hope this helped you

Answer:

1 pound of spaghetti = $1.60

Step-by-step explanation:

Since 5 pounds of spaghetti costs 8 dollars, simply divide 8 dollars by 5 to find the cost of 1 pound of spaghetti.

$8/5 = $1.60

What single transformation maps ∆ABC onto ∆A'B'C'?

Answers

Answer:

A rotation 90 degrees clockwise

Step-by-step explanation:

Write the equation for the
line that passes through
(-3, 5) and is parallel to the
graph of y = 2x - 4.

Answers

Answer:

(

y

4

)

=

2

(

x

+

3

)

y

4

=

2

x

+

6

y

=

2

x

+

6

+

4

We get the equation of the line as :

y

=

2

x

+

10

The graph will look like this:

graph{y=2x+10 [-10, 10, -5, 5]

Step-by-step explanation:

QUICK WHAT IS 3 2/5X 2 1/3

Answers

Answer: 119/15 = 7 14/15

The computer was regularly priced at $1500. If you order the computer over the Internet, you can save money as the price is only $1200.What percent discount (change) are you getting?

Answers

20 percent discount !!!

Compare the two statements below and decide if the phrase: "In a plane," needs to be included in order to make a true statement.

1. In a plane, if a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.

versus

2. If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.





answer choices:

A) It does not need to be included. By leaving it out of the statement, the reader considers three dimensions not just the xy-plane. The two parallel lines would determine a plane. However, the transversal could intersect only one of the lines. This would allow the proof to use the Corresponding Angles Theorem.


B) It does not need to be included. By leaving it out of the statement, the reader considers three dimensions not just the xy-plane. The two parallel lines would determine a plane. However, the transversal could intersect only one of the lines. This would allow the proof to use the Angle Bisector Theorem.


C) It needs to be included as it forces the reader to consider only two dimensions, like the xy-plane. The two parallel lines would determine the plane and the transversal would intersect both lines. This would allow the proof to use the Corresponding Angles Theorem.


D) It needs to be included as it forces the reader to consider only two dimensions, like the xy-plane. The two parallel lines would determine the plane and the transversal would intersect both lines. This would allow the proof to use the Angle Bisector Theorem.

Answers

by any chance do you go to a higl school in Conroe bc I’m taking that exact test on canvas

Step-by-step explanation:

Jared just completed a race and is standing 15 feet across the finish line. Michael is still running the race and he has 30 feet to go

Student A says that Jared and Michael are 45 feet away from each other student B says they are 15 feet away from each other

Who is correct
Explain your reasoning and write a numerical expression to justify your answer

Answers

Answer:

Student A is correct.

Step-by-step explanation:

A is correct as Michael is 30ft behind the finish line and Jared is 15 feet past it. [tex]30 + 15 = 45[/tex]

Answer:

student a

Step-by-step explanation:

jared is 15 feet after the line Michael is 30 feet before the line 15 + 30

Margo studied for 20 minutes. How many seconds did she study?

A. 1,200

B. 800

C. 620

D. 120​

Answers

Answer:

1200 because 12*60 is 1200

What is the definition of photosynthesis?

the process of converting the energy in oxygen molecules into ATP

the process of changing light into stored chemical energy in the form of sugars

the process of converting the energy in carbohydrate molecules into ATP

the process of changing light into stored chemical energy in the form of lipids

Answers

Answer:

he process of changing light into stored chemical energy in the form of sugars

Step-by-step explanation:

The process in which light energy is converted to chemical energy in the form of sugars is correct.

Option (B) is correct.

What is the definition of photosynthesis?

What is photosynthesis ?

Photosynthesis is the process by which green plants, algae and some forms of bacteria use energy from sunlight to convert carbon dioxide and water into glucose.

Given that:

Photosynthesis is the process in which light energy is converted to chemical energy in the form of sugars. In a process driven by light energy, glucose molecules (or other sugars) are constructed from water and carbon dioxide, and oxygen is released as a byproduct.

Photosynthesis is the process by which plants use sunlight, water, and carbon dioxide to create oxygen and energy in the form of sugar. 5 - 8

So, the process in which light energy is converted to chemical energy in the form of sugars is correct.

Learn more about photosynthesis here:

https://brainly.com/question/19390838

#SPJ2

Ms. Sakai rode her bike 7.25 miles on Friday. She then rode 12.3 miles on Saturday and then 7.3 miles on Sunday. How many total miles did she ride over those three days?

Answers

Answer:26.85 miles

Step-by-step explanation: 7.25+12.3+7.3=26.85

Any help is appreciated!!

Answers

Answer:

Step-by-step explanation:

600,000,000

Answer:

[tex]1.872 \times {10}^{13} [/tex]

Step-by-step explanation:

Simply multiple the values listed

[tex]3.12 \times {10}^{5} \\ \times 6 \times {10}^{7} [/tex]

You can just multiply the values and keep it in scientific notation. No reason to multiply all if it to find the answer.

[tex]18.72 \times {10}^{12} [/tex]

Now we have to put it into scientific notation, simply move the decimal to the left by 1 and add to the exponenet by 1.

[tex]1.872 \times {10}^{13} [/tex]

What are the intercepts for the equation? Select all that apply. x + y = 4 *
(-4, 0)
(0, -4)
(0, 4)
(4, 0)

Answers

Answer:

  y intercept (0, 4)

  x intercept (4, 0)

I hope this is good enough:

A person can pay $9 for a membership to the history museum and then go to the museum for just $1 per visit. For a member of the history museum, what is the total cost of 23 visits?

Answers

Answer:

$32

Step-by-step explanation:

  Step one:

Given that membership is $9 and the cost per visit is $1

let the number of visits be x

and the total cost be y

the total cost  for the situation is modeled as

y=mx+c-----equation of a line

   Step two:

given that x=23, we can solve for the totals cost as

by substituting we have

y=1*23+9

y=23+9

y=32

The total cost for 23 visits is $32

18 A glider descends 240 meters in 12 seconds. What is the average change in elevation
per second?

Answers

Answer:

It's 20

Step-by-step explanation:

240/12 to find average

average=20

A = p + prt solve for t

Answers

Answer:

t = [tex]\frac{A - p}{pr}[/tex]

Step-by-step explanation:

A = p + prt

A - p = p - p + prt

A - p = 0 + prt

A - p = prt

[tex]\frac{A - p}{pr}[/tex] = [tex]\frac{prt}{pr}[/tex]

[tex]\frac{A - P}{pr}[/tex] = t

hiiii please help if u can <3​

Answers

Answer:

Step-by-step explanation:

given:  triangle EDC is right angle isosceles triangle,AD and BC is perpendicular to AB.

statement                      reason

1. in triangle AED and BEC

a.∠ADE=∠EBC                      a.given( AD and BC is perpendicular to AB)

b.∠AED+∠DEC=∠EBD+∠ECB   b. exterior angle of triangle is equal to two ∠AED =∠ECB                                 opposite interior angle and substracting  

                                                          (∠DEC=∠EBD=90°) from both side

c.ED=EC                                    c corresponding sides of equal angle in

                                                        isosceles triangle are equal

2 ∴ triangle AED  is congruent to BEC 2. by A.A.S axiom

The answer is DEE>NUTS

A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame?

Answers

Answer:

4x+12

Step-by-step explanation:

A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame?

(5+2x)+(7+2x)

The perimeter would be 4x+12

Hope I helped!

Please mark Brainliest!!!

Answer:

The answer is A. 4x+12

Step-by-step explanation:

Just took the test on edge 2020 :D

help me pleaseeeeeee

Answers

Step-by-step explanation:

Similar triangles

[tex] \frac{6}{uv } = \frac{8}{3} [/tex]

uv=18/8

uv= 2.25

Solve.

24 + d = 30

d =

Answers

Answer:

I think d = 6 because 24 + 6 = 30

Answer:

d=6

Step-by-step explanation:

Which expression is equivalent to (2x^2+3x-4)-(x^2-2x+4)​

Answers

Answer:

3x + 2 = 14

Step-by-step explanation:

2
Carter is going on a 16.5
mile hike through the
Grand Canyon. If he wants
to spread out his hike
evenly over the next 6
hours, how many miles
should he hike per hour?
NIC

Answers

Answer:

2.75 miles per hour

Step-by-step explanation:

16.5/6

30 points!!!!!!!!!!!!!!!!!!!!!!! Help ASAP!!! 1.) Line a passes through points (-2, 1) and (2, 9). Write an equation in slope intercept form that is parallel to line a.

Answers

Answer:

Step 1: Use slope formula* to determine slope (or m) using both points given.

[tex]\frac{9 - 1}{2 - (-2)}\\\\\frac{8}{4} = 2[/tex]

Step 2: Use slope-intercept formula** , ONE of the points given, and the slope we just found to solve for b.

[tex]1 = 2(-2) + b\\\\1 = -4 + b\\\\5 = b[/tex]

Step 3: Now we can set up an equation of this line in slope-intercept form.

[tex]y = 2x + 5[/tex]

*Slope formula: y₂ - y₁/x₂ - x₁

**Slope-intercept formula: y = mx + b

Answer:

The slope calculator helps find the slope of any line through two given points. ... To find the equation of a line for any given two points that this line passes through, use our ... to calculate the slope of the line passing through the points (3,8) and (-2, 10) . ... Make sure that the points you measure from are the same as step 1.

Step-by-step explanation:

Give another name for CD PLEASE HELP!!!

Answers

Answer:

CED

Step-by-step explanation:

I hope this helps you

Factor:
25y + 27x
Plz help

Answers

Answer:

25y+27x

Step-by-step explanation:

You cannot factor this any further

If you reflect the coordinates (1,4) across the y-axis what would be the new
coordinates? *

Answers

Answer:

-1,4

Step-by-step explanation:

Answer:

-1,4

Step-by-step explanation:

Kyle asked a random group of students what their favorite sport was. The results are below. Boys Girls Basketball 10 8 Football 25 7 Soccer 9 19 Baseball 18 22 If Kyle were to randomly select a girl to explain why she likes the sport chosen, what is the probability that he will pick a girl who likes football? A 12.5% B 27.1% C 40.3% D 44.6%

Answers

Answer:

The probability that Kyle will pick a girl who likes football is 12.5%.

Step-by-step explanation:

The data provided is as follows:

                         Boys        Girls       Total

Basketball          10             8             18

 Football           25             7             32

  Soccer             9             19             28

 Baseball           18            22            40

   Total               62           56            118

Compute the probability that Kyle will pick a girl who likes football as follows:

[tex]P(F|G)=\frac{n(G\cap F)}{n(G)}[/tex]

            [tex]=\frac{7}{56}\\\\=0.125\\\\=12.5\%[/tex]

Thus, the probability that Kyle will pick a girl who likes football is 12.5%.

I am unable to understand how to solve this question, please send the working out.

Answers

1 Move the negative sign to the left.
(
9
x
)
1
2
8
x

1
2
3
(9x)

​2

​1
​​
​​
​3
​​ √
​8x
​−
​2

​1
​​
​​

​​

2 Convert
(
9
x
)
1
2
(9x)

​2

​1
​​
​​ to square root.
9
x
8
x

1
2
3

​9x

​​
​3
​​ √
​8x
​−
​2

​1
​​
​​

​​

3 Use this rule:
a
b
=
a
b

​ab

​​ =√
​a

​​ √
​b

​​ .
9
x
8
x

1
2
3

​9

​​ √
​x

​​
​3
​​ √
​8x
​−
​2

​1
​​
​​

​​

4 Since
3
×
3
=
9
3×3=9, the square root of
9
9 is
3
3.
3
x
8
x

1
2
3
3√
​x

​​
​3
​​ √
​8x
​−
​2

​1
​​
​​

​​

5 Use Multiplication Distributive Property:
(
x
y
)
a
=
x
a
y
a
(xy)
​a
​​ =x
​a
​​ y
​a
​​ .
3
x
8
3
x

1
2
3
3√
​x

​​
​3
​​ √
​8

​​
​3
​​ √
​x
​−
​2

​1
​​
​​

​​

6 Calculate.
3
x
×
2
x

1
2
3
3√
​x

​​ ×2
​3
​​ √
​x
​−
​2

​1
​​
​​

​​

7 Use this rule:
(
x
a
)
b
=
x
a
b
(x
​a
​​ )
​b
​​ =x
​ab
​​ .
3
x
×
2
x

1
2
×
3
3√
​x

​​ ×2x

​2×3

​−1
​​
​​

8 Simplify
2
×
3
2×3 to
6
6.
3
x
×
2
x

1
6
3√
​x

​​ ×2x

​6

​−1
​​
​​

9 Move the negative sign to the left.
3
x
×
2
x

1
6
3√
​x

​​ ×2x
​−
​6

​1
​​
​​

10 Use Negative Power Rule:
x

a
=
1
x
a
x
​−a
​​ =
​x
​a
​​

​1
​​ .
3
x
×
2
×
1
x
6
3√
​x

​​ ×2×

​6
​​ √
​x

​​

​1
​​

11 Use Quotient Rule:
x
a
x
b
=
x
a

b
​x
​b
​​

​x
​a
​​
​​ =x
​a−b
​​ .
\[3\times 2\sqrt[2}-\frac{1}{6]{x}\]

12 Simplify
1
2

1
6
​2

​1
​​ −
​6

​1
​​ to
1
3
​3

​1
​​ .
3
×
2
x
3
3×2
​3
​​ √
​x

​​

13 Simplify.
6
x
3
6
​3
​​ √
​x

​​

Answer:

[tex](9x)^{\frac{1}{2} }.(8x^{\frac{-1}{2} })^{\frac{1}{3} }\\\\=9^{1/2}.x^{1/2}.8^{1/3}.x^{-1/2.1/3} \\\\=3.2.x^{1/2}.x^{-1/6} \\\\\\=6.x^{1/2-1/6}\\\\=6x^{1/3}[/tex]

Step-by-step explanation:

Which of these transformations occurs when the blades of a fan turn?
a. dilation
b. reflection
c. rotation
d. translation

Answers

C. Rotation.............
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