Given a term in an arithmetic sequence and
the common difference find the 100th term.


a14= 102
d = 10


Please help, i’m struggling.

Answers

Answer 1

Answer:

100th term = 962

Step-by-step explanation:

You need  to find the first term of the sequence

The formula to use is

[tex]a_{n} = a_{1} + (n - 1)d[/tex]    In your problem, n = 14.  So,

[tex]102 = a_{1} + (14 - 1)10\\102 = a_{1} + 130\\a_{1} = -28\\\\[/tex]

Now you can find the 100th term.  n = 100, first term = -28 and d = 10

[tex]a_{100} = -28 + (100 - 1)10\\ = -28 + 990\\ = 962[/tex]

100th term = 962


Related Questions

1. 30-70h=30
2. 300+70h=-30
3. 300-70h=-30
4. 300+70h=30

Answers

It is 300-70h=30

If you do the math 300 - 30 kilos to go is 270 kilos. 270 kilos divided by 70 kilos is about 3.85. So with the correct equation you can solve and find it true. 300 - 70(3.85) is roughly 30.

-2(7 – n) + 4
What is the answer to this any body know it??????????

Answers

2x-10 is the answerr

Answer:

2n+10

Step-by-step explanation:

you just distribute the -2 and you get -14+2n+4 and then add and you'll get 2n+10

if you are solving for the variable n then you would want your equation like this 2n+10=0

next you would put the 10 on the other side of the equation and have 2n=-10

finally you would divide by 2 and get n=-5

At a sale, coats were sold for 52% of their original price. If the coats originally cost
$200 each, how much did a coat cost on sale?
Help me please

Answers

Answer:

Answer is 104

Step-by-step explanation:

The selling price of the coat is $104.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Original price = $200

Selling price.

= 52% of $200

= 52/100 x 200

= $104

Thus,

$104 is the selling price of the coat.

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Ashton plays three games of checkers with his grandmother. Identify the
sample space (the correct list possible outcomes) for Ashton's results.
W = win, L = loss
The notation WLL means Ashton won the first game, lost the second game,
and lost the third game.
A. {WWWW, WLWL, LLLL}
B. {WW, WL, LW, LL}
C. {WWW, WWL, WLW, WLL, LWW, LWL, LLW, LLL)
D. {WWW, WWL, LLL}

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Travis wants to build a small rectangular fence. He has enough material to build a fence that has a perimeter of 100 feet. Let x represent the length of the fence in feet.

Travis wants to use all of the available materials. What values of x will fence in an area of at least 600 square feet?

Answers

Answer:

x=250?

Step-by-step explanation:

you being vague bro

What is the total area of the figure below?

Answers

Answer:

141

Step-by-step explanation:

First find the area of the trapezoid

 (16 + 10) * 9 / 2 = 117

Then find the area of the triangle

0.5 * b * 6 = 24

Add them both together

117 + 24 = 141

Answer: 141

GIVE ME BRAINLEST

Step-by-step explanation:

ahhhhhhhhhhhhhhhhhhhh​

Answers

Answer:

10.2

Step-by-step explanation:

Please someone help me, I really need help with this.

Answers

Answer:

9

Step-by-step explanation:

its 9 because that's where 3 pens are plotted in the graph

how many centimeters is the growth rate of the plant per week? Please i really need this. PICTURE WHEN YOU CLICK

Answers

Answer:

4 and 3/4 YOU GOT THIS!!

Step-by-step explanation:

Answer:

I believe the answer would be 1/2 a centimeter per week, hope this helps

Step 3: Equations and Inequalities Unit Test
6. Solve for j.
j - 18 = 43

Answers

j=61. you would do 18+43!

Answer:

j = 61

Step-by-step explanation:

j - 18 = 61

Step One: Add your addend and your total together.

18 + 43 = 61

Step Two/Check: Subtract your original total with one of your original addend to get the second original addend you had before.

61 - 18 = 43

Answer:

j = 61

What is the ratio of a:b, knowing that a-b / a+b = 3/5

Answers

Answer

i am going to give you 2 answer

1. solving for A is:  A=3/5 -b

2. solving for B is:  B=3/5 -a

Step-by-step explanation:

correct me if I'm wrong

let me know if it's correct or not

Answer:

soo what is the answer

Step-by-step explanation:

John rode 2 kilometers on his bike. His sister Sally rode 6,000 meters on her bike. How many more kilometers did Sally ride?

Answers

Answer:

I don't understand, please write again

Answer:

Sally rode 4 kilometers more than her brother.

Step-by-step explanation:

1,000 meters = 1 kilometer

So if you convert Sally's meters into kilometers, you get 6 kilometers. John rode 2 kilometers so you do 6 kilometers - 2 kilometers = 4 kilometers.

Now you got your answer!

Hope this helped.

Help please i always get the numbers mixed up.

Answers

The answer is D: (-3, -4)
The awnser is D -3-4

Need help what’s the irrational number?

Answers

Answer:

B. √6

Step-by-step explanation:

Irrational number is a number that cannot be expressed in a form of fraction

2.5 = 5/2

√6 = 2.49...

1/2 = 1/2

√9 = 3/1

A car is traveling at a speed of 50 meters per second. What is the cars speed in kilometers per hour? How many kilometers will the car travel in 3 hours?

Answers

The car is going 180 kph. In three hours the car would travel 540 kilometers. Hope this helps.

Answer:

180 kilometers per hour, 540 in 3 hours

The price of a watch was increased by 20% to £162.
What was the price before the increase?

Answers

Answer:

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off

f

f

d

ddf

y

5

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120%=162
⬇️/12
10%=13.5
⬇️x10
100%=135

Answer=£135

Use quadrilateral ABCD. What value for m DAB would show ABCD is a parallelogram?

Answers

Answer:

m∠DAB = 101°

x = 7

y = 12

Step-by-step explanation:

Properties of a parallelogram,

1). Opposite sides of a parallelogram are equal and parallel.

2). Opposite interior angles are equal in measure.

3). Consecutive interior angles are supplementary.

By the first property,

BC ≅ AD

2x + 4 = 3x - 3

3x - 2x = 4 + 3

x = 7

AB ≅ CD

2y + 10 = 3y - 2

3y - 2y = 10 + 2

y = 12

By second property,

m∠ABC = m∠ADC

2z + 15 = 3z - 17

3z - 2z = 15 + 17

z = 32

Therefore, m∠ADC = (3z - 17)°

                                = 3(32) - 17

                                = 96 - 17

                                = 79°

By third property,

m∠ADC + m∠DAB = 180°

79° + m∠DAB = 180°

m∠DAB = 180° - 79°

m∠DAB = 101°

A right cone has a slant height of 17 feet, and the diameter of the base is 30 feet. What is the height, h, of the cone?

I WILL MARK BRANILEST

Answers

Answer:

8

Step-by-step explanation:

Answer:

Its 8 100%

Step-by-step explanation:

Edit: OK its right here is the The work And no I didn't copy

Alexa has a points card for a movie theater. She receives 25 rewards points just for signing up. She earns 4.5 points for each visit to the movie theater. She needs 61 points for a free movie ticket. How many visits must Alexa make to earn a free movie ticket?

Answers

Answer:

8

Step-by-step explanation:

25+ (4.5 x 8)

25+ 36

=61.

She needs 8 visits

Answer:

8

Step-by-step explanation:

61 - 25 = 36

36 divided by 4.5 = 8

PLEASE HELP ME I BEG OF YOU IF YOU HELP ME I WILL GIVE YOU BRAINTLIEST JUST PLEASE HELP ME "Julie goes to the sports store and spends $40.50 before tax. She buys a pair of shorts for $21.75 and 3 pairs of socks that each cost same amount. How Much does each pair of socks cost?" Please help me

Answers

Answer:

$6.25

Step-by-step explanation:

please help!

Create an equation for the following situation and find the value of x.

8 more than 2 times a number x, all divided by 5 equals 2.

Answers

Answer:

8+2x/5=2

2x/5=2-8

2x/5=-6

2x=-6x5

2x=-30

x=-30/2

x=-15

Step-by-step explanation:

f(x) = 2^x


what is the domain ?
range ? asymptote ? and transformation

Answers

y=2x

Step-by-step explanation:

I dont know what else there is sry

Ethan uses the function f(x) = 2x2 + 2x + 4 to track the temperature of a substance over 8 hours. You know that f(3) = 28 meaning that the temperature of the substance is 28°C when you plug in a 3 for x. What is the domain of Ethan’s function?

Answers

The domain of the function f(x) = 2x² + 2x + 4  is (-∞, ∞).

What is Quadratic equation?

The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of:

ax² + bx + c = 0

where x is the unknown variable and a, b and c are the constant terms.

You have the quadratic function

f(x) = 2x² + 2x + 4 ,

and remember that all quadratic functions are parabolas opening at point called the vertex.

Since you can plug any real number in our parabola here, its domain is all the real numbers, and this is true for all the quadratic functions of the form ax² + bx + c = 0.

Thus, in interval notation the domain of the function  is (-∞, ∞).

Learn more about Quadratic Equation from;

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Simplify the expression: 33 - (24 + 3

Answers

Answer:

33-27

Step-by-step explanation:

Answer:

The answer is 6

Step-by-step explanation:

you do what is in the parentheses then do 33-27 which is 6

Write in Slope Intercept form

Answers

Answer:

y=5/2x

Step-by-step explanation:

the y intercept is (0,0) so it isn't included in the equation. now we know the middle solution isn't correct. the points we use to find slope are (-2,-5) and (2,5) which ends up being 5/2.

Find the slope of the line passing through the points (7, 8) and (7,-9).

Answers

Answer:

the slope is undefined

Step-by-step explanation:

[tex]m = \frac{-9 - 8}{7-7} \\m = \frac{-17}{0 }\\m = DNE[/tex]

can someone help me out it would be great if u can explain it.​

Answers

Answer:

113.1

Step-by-step explanation:

formula for circle is pie X radius^2

Plot the point, (−1,−1.5).

Select the point tool. Then, click on the graph to plot the point.

Answers

Answer:

hope this helps

Step-by-step explanation:

A recipe that makes 8 cups of limeade uses 2 cups of lime juice.

Describe the related ratio 2:8 using ratio language. Does the ratio involve only parts, or does it involve a part and the whole?

Answers

Answer:

For every 2 cups of lime juice, the recipe makes 8 cups of limeade; a part and the whole.

Step-by-step explanation:

The ratio shows that for 2 cups of lime juice there needed proportion of 8 cups of limeade.

and, the ratio involve a part and the whole.

What is Ratio?

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

A recipe that makes 8 cups of limeade uses 2 cups of lime juice.

and, ratio = 2:8

Here, the ratio shows that for 2 cups of lime juice there needed proportion of 8 cups of limeade.

and, the ratio involve a part and the whole.

Learn more about ratio here:

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Rewrite with positive exponents: 7^-3

Answers

Answer:

1/7^3 (One over seven thirds)

Step-by-step explanation:

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