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

Someone please help

Which of these statements about gross income and net income is true?

A. Gross income is a tax on all income that a worker earns, and net income is a tax paid by an employer based on a worker's wages.

B. Gross income is a tax paid by an employer based on a worker's wages, and net income is a tax on all income that a person earns.

C. Gross income is the amount an employee is paid after deductions and taxes, and net income is the total amount an employee earns before deductions are applied.

D. Gross income is the total amount an employee earns before deductions are applied, and net income is the amount an employee is paid after deductions and taxes.​

Answers

Answer:

D. Gross income is the total amount an employee earns BEFIRE deductions...


what does r = !!!!!!!!!!!!!

Answers

Answer:

11

Step-by-step explanation:

r=6+5

=11

if my answer helps please mark as brainliest

Answer:

r = 11

Step-by-step explanation:

Add 5 to both sides of the equation:

6 + 5 = r - 5 + 5

Add the numbers

11 = r - 5 + 5

11 = r

Move the variable to the left

r = 11

En la siguiente figura¿que longitud debe tener el segmento d,para que a y b sean proporcionales

Answers

I don’t know French or what ever u have written so pls do it ur self

Which relation is not a function?
A
{(10,-5), (8,-4),(4, -2),(2,0)}
B
{(1, -2), (1,-4), (1.0), (1,8)
C С
{(-3,9),(-2,4),(-1.1), (1,1)
D
{(3,10),(5, -5), (6,6), (9,11)}

Answers

Answer: B

It is not a function because the x can’t repeat twice

1 point
Captionless Image

Answers

Answer:

uhhh ok

Step-by-step explanation:

Answer

That's simple the answer is  

Step-by-step explanation:

Geometry please help thanks

Answers

Answer:

the answer is SSS (side-side-side)

Step-by-step explanation:

since the picture shows red tick marks on each side it's showing you they are all congruent by the sides which is the method SSS (side-side-side)

Y=6-4(2). What is the value of y=6-4x when x=2

Answers

Answer:

y = -2

Step-by-step explanation:

Jamal earns earns a year-end bonus of $32500 and puts it in 3 one-year investments that that pay $1579.50 in simple interest. Part is invested at 3%, part at 4%, and part at 6%. There is $9750 more invested at 6% than at 3%.

A. Create a system of equations that represents this ratio.

B. Find the amount invested at each rate.

Answers

Answer:

Fjjfhfuf

Step-by-step explanation:

Ffifuuf

Slope of -7 and y -intercept of 1

Answers

The graph of y = 1 is a horizontal line at the value y = 1. The slope of a horizontal line is m = 0.

what is the difference of 3 1/4 and 15/16.

Answers

It is the fact that I don’t know so sorry that u don’t know it either

Answer:

I hope it helps

What is the value of f if 9f+11=3f+23

Answers

Answer:

f=2

Step-by-step explanation:

F = 2

9f+11
If f is two, 9f = 18.
11+18= 29

3f +23
If F is two, then 3f = 6.
6+23=29.

Well, look there- both answers are equal so F equals 2

F=2

I will give brainiest to whoever answers right PLEASE

Answers

Answer: questions aren't clear

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. D

2.B

3.B

4.C

5.D

6.A

I need help with geometry

Answers

Answer:

360

Step-by-step explanation:

Please mark me brainliest, 5 stars, and a thanks! Have a great day!

Complete the conversion. Enter your answer in the box. 7 c = pt

Answers

Answer:

7 cups = 3.5 pints

Step-by-step explanation:

According to the rule of 72, in about how many years will $80 be worth $40 if the rate of inflation is 3%? A. 6 years B. 12 years C. 48 years D. 24 years​

Answers

Answer:

24 years  answer is D

Step-by-step explanation:

Yasin earns £61200 per year. The first £11900 is tax free but 10% must be paid on the first £10000, 15% on the second £10,000 and 25% tax must be paid on the rest. How much tax does Yasin pay?

Answers

Answer:

44

Step-by-step explanation:

6. Determine the binomial that when multiplied by
(2x - 5), results in the product 6x² - 7x – 20.

Answers

Answer:

(3x + 4)

Step-by-step explanation:

[tex]required \: binomial \\ \\ = \frac{6 {x}^{2} - 7x - 20}{(2x - 5)} \\ \\ = \frac{6 {x}^{2} - 15x + 8x - 20}{(2x - 5)} \\ \\ = \frac{3x(2x - 5) + 4(2x - 5)}{(2x - 5)} \\ \\ = \frac{ \cancel{(2x - 5)}(3x + 4)}{ \cancel{(2x - 5)}} \\ \\ = (3x + 4)[/tex]

F(t) 2t-3
F(7)=?
What does f(7) equal?

Answers

Answer:

F(7) = 11

Step-by-step explanation:

F(7) = 2(7) -3

      = 14 - 3

      = 11

Answer:

f(7)=2/7t+-3/7

Step-by-step explanation:

you just have to plug 7 in and put an = sign which makes F(7)=2t-3 then solve

Robert has 9/10 of a pizza. The pizza will be divided equally among 3 people. How much will each person get?

Answers

Each person will get 3/10 of the pizza. Hope this helps. :)

If 72 = 12x, what does x equal?

Answers

Answer:

x=6

Step-by-step explanation:

So, x is our unknown variable. An so you have to ask yourself, what times 12= 72? The answer would be 6, because 12x6=72

The proper way to do it, would be to divide 12/12 so you isolate the variable, and what you do to one side, you do to the other, so divide 72 by 12 and you get 6! Hope this helps!

Lanny goes to the bank and puts $4000 dollars in a savings account. He gets and simple interest of 2.5%. If he leave the money in the account for five years how much will he have in the savings account?

Answers

Answer:4,100

Step-by-step explanation:

Please help me I’m very confused!!!!!!!!!

Answers

I believe that the answer is 20.

i need help to solve please

Answers

Answer:

y = 8; x = 6 [tex]\frac{7}{8}[/tex] ; n = 1 [tex]\frac{2}{23}[/tex] ; p = 55

Step-by-step explanation:

First proportion

// How to solve it

// firstly, multiply both sides by y, so that y would be in numerator

[tex]\frac{16}{16} * y[/tex] = [tex]\frac{8}{y} * y[/tex]

// now we get

[tex]\frac{16y}{16}[/tex] = 8

// secondly, divide both sides by [tex]\frac{16}{16}[/tex], so that we'd have y on one side and the expression on the other side

y = [tex]\frac{16}{16}*8[/tex]

// since [tex]\frac{16}{16}[/tex] = 1

y = 8

Second proportion

// divide both sides by 22, so that there'd be unknown variable x on one side and the expression on the other side

x = [tex]\frac{10*22}{(y*4)}[/tex]

Is this y from the first proportion?

If so, then x = [tex]\frac{10*22}{(8*4)}[/tex] = [tex]\frac{220}{32}[/tex] = [tex]\frac{55}{8}[/tex] = 6 [tex]\frac{7}{8}[/tex]

Third proportion

// divide both sides by 5

n = [tex]\frac{5}{23} * 5[/tex] = [tex]\frac{25}{23}[/tex] = 1 [tex]\frac{2}{23}[/tex]

Fourth proportion

// divide both sides by 10

p = [tex]\frac{22}{4} *10[/tex] = 55

please help quick!! pythagorean theorem!

Answers

Answer:

hmmmmm not sure

Step-by-step explanation:

Need help with this!​

Answers

Answer: x= 10

Step-by-step explanation:

Same side exterior angles sum to 180.

Using this axiom we can say that

142+ (3x+8) = 180

Add like terms on the left side

150+ 3x = 180

Subtract 150 from both sides

3x = 30

Divide both sides by 3

X= 10

which polynomials are in standard form?

Answers

Answer:

c is the ans

Step-by-step explanation:


Five friends went to the amusement park and spent a total of $165. Each person had to buy an admission ticket, then each decided to
spend $8 on lunch. What was the cost of each admission ticket?

Answers

$31.40

Step-by-step explanation:

165-7=157÷5=31.40

3. How many possible negative real zeros are there for the polynomial g(x) = 2x4 + x3 - 4x + 1?
A. 1
B. 3
C. 2
D. 5

Answers

The answer to the equation is C.2

which set of line segments can be used to construct a triangle

Answers

It’s b if the sum of the lengths of any two line segments are greater than the third it can make a triangle
The answer is B. 2+3>3, 3+3>2, and 2+3>3, none of the others work out this way and if they don’t do that then they aren’t a triangle.

Solve for h in this right triangle. Show all steps and round your answer to the nearest hundredth.

Answers

Answer:

708.56 ft

Step-by-step explanation:

Use the tangent trig rule, TOA in SOH-CAH-TOA. Take your opposite, h, and divide it over your adjacent, 875. Then take the tangent of 39° using a calculator, and multiply 875 on both sides to get h by itself, that being the result of 708.56 ft rounded.

Other Questions
Will give brainliest!Describe at least two of the four major systems we looked at in class: Ice, Water, Land, Atmosphere andprovide a specific example of how these systems are connected to one another When Lithium chloride is dissolved in water, there is a steep rise in the temperature of the water. Based on the evidence, is the dissolution of lithium chloride endothermic, exothermic, or neither? Explain. Whats order does these go in? Which is the third stage of mitosis? (3 points)AnaphaseInterphaseMetaphaseTelophase pls help!! will mark brainliest if it lets me!! Which is equivalent to 216 Superscript one-third?363672 what is figure formed by two rays that originate from the same point?A. angleB. Parallel lineC. Perpendicular linesD. line segment Factor to write an equivalent expression: 5a - 10 Water (H20) is a(n)a. element.b. atom.C. compound.d. carbohydrate. Can someone please give me the answer by 10 minutes Which key industries are found in Houston, Texas? Select three options. Grasslands typically do not flourish when large herbivores are removed. In fact, they are soon replaced by broad-leaved herbaceous dicots, shrubs, and trees. Based on your knowledge of the structure and growth habits of monocots and eudicots, suggest a reason why. Running is probably the simplest individual sport for promoting both health-related and skill-related fitness.Please select the best answer from the choices provided.OF Quiero leer este libro hasta el 1 of 1.Question 2 with 1 blankPara tener 1 of 1 en la escuela, es necesario estudiar mucho.Question 3 with 1 blankEl gobierno y los rebeldes por fin llegaron a un 1 of 1 para solucionar el conflicto.Question 4 with 1 blankLas elecciones fueron el 1 of 1 poltico ms importante del ao en el pas.Question 5 with 1 blankNuestra regin ha progresado gracias a los 1 of 1 tecnolgicos.Question 6 with 2 blanksSin embargo, los pases de la regin se 1 of 2 a muchos problemas y 2 of 2 sociales.Question 7 with 1 blankLas personas que tienen el 1 of 1 deben tratar de encontrar soluciones. PLS HELP, Why is gene flow important to the overall health of a species? Displacement vectors of 1m north, 3 m south, 6 m north, and 4 m southcombine to a total displacement of * Culture is a system of values and norms shared among a group of people and that when taken together constitute a design for living. Any culture is based on values that provide the context within which a society's norms are established and justified. Norms of a culture can be further subdivided into folkways and mores, which govern the social rules of people's actions toward one another. Select the correct category for each example of values, folkways, and mores listed below. 1. How time is viewed when conducting business meetings in Western countries as opposed to Latin American and Middle Eastern 6x -4+2(5x+2)=16x help plz BRAINLIEST GOES TO 1ST PERSON. Do a 2paragraph writeup on thr theme fantasy and freedom and how its connects to a unicorn. It costs $35 for a membership at a wholesale store. The monthly fee is $15 .Write an equation that represents the total costs ( in dollars) of a membership