Find a12 in the arithmetic sequence if a1 = 20 and d = 2

Answers

Answer 1

Answer:

The value of a[tex]_{12}[/tex] is 42

Step-by-step explanation:

The explicit formula of the arithmetic sequence is a[tex]_{n}[/tex] = a + (n - 1)d, where

a is the first termd is the common differencen is the position of the term in the sequence

∵ a[tex]_{1}[/tex] = 20 ⇒ first term

a = 20

d = 2 ⇒ common difference

∵ We need to find a[tex]_{12}[/tex]

n = 12

→ Substitute them in the formula above

a[tex]_{12}[/tex] = 20 + (12 - 1)(2)

∴ a[tex]_{12}[/tex] = 20 + (11)(2)

∴ a[tex]_{12}[/tex] = 20 + 22

a[tex]_{12}[/tex] = 42

The value of a[tex]_{12}[/tex] is 42


Related Questions

Maria bought cupcakes for her sister's birthday party. 20% of the 15 cupcakes had sprinkles on top. How many cupcakes had sprinkles? Please answer

Answers

Answer:

3 cupcakes

Step-by-step explanation:

to figure it out you could've done 15*0.20

use that equation for future percentage problems

amount x percentage in the form of a decimal

this is math i swear its not geography but plz help !

Answers

Answer:

I believe the answer is C. 1,131 miles

Step-by-step explanation:

When we use a right triangle to solve, we already know the angles on the right triangle must be 45 45 90, since all triangles equal 180. Then using tan45 times 800 we get the side between Houston and Lincoln which is also 800. Pythag then solves 800²+800²=c²

c²=1280000  so √1280000 =1131

The answer is C.)

The side of Lincoln to Tallahassee is the largest. The distance between Houston and Tallahassee is smaller, meaning that it is accurately a larger number. It would be simple to understand that the base and height of the triangle could NOT add up to 1,600 because they would both have to be at least HALF the length of the distance between Tallahassee but they are not. Meaning the answer is 1,321

Hope this helps,

Northstar

Which of the following ratlos is not equivalent to 6:10?
9
15
48
O
80
3
5
o
24
45

Answers

Answer:

24/45 or 9/15

Step-by-step explanation:

none of these is equivalent to 6:10

help me plzzz!!!
I’ll give brainliest

Answers

Answer:

-11.5

Step-by-step explanation:

ayeeeee dis one jsjkskksnns lol

Answers

Answer:

thanks for the points

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Do this formula y2 - y1/x2-x1

PLUG IN (8, -9) and (14, -9)

-9 - -9/ 14 - 8

0/6

0

The slope is 0

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP MEEEEEEEEEEEEEE
also please explain how you got that answer


Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?


A. 10r + 1.50 ≥ 40 B. 1.50r + 10 ≤ 40 C. 1.50r + 10 <40 D 10r+1.50<40

Explain your reasoning and solve the inequality :

Answers

Answer:The answer is B.

Step-by-step explanation: He has to spend 10 dollars to get into the fair and each ride cost 1.50. We don’t know how many rides he’s going to get on so that is an unknown variable multiplied by 1.50 (r). He also has to spend less than or equal to $40. So Daniel’s total of 1.50r + 10 has to be less than or equal to $40.

(NEED HELP ASAP! PICTURE IS PROVIDED WITH THE QUESTION.)

Answers

Answer:

i cant see picture

Step-by-step explanation:

write the equation for two less than x PLEASE HELP ASAP!! WILL MARK BRAINILIEST!!

Answers

Answer:

x - 2

Step-by-step explanation:

Have an amazing Christmas break!

Feel free to give brainliest, cuz I really need some right now. I'm getting tired of people deleting them.

What number makes the equation true? Enter the answer in the box. 63 = __ x7 to the answer is 9

Answers

It would be division I don’t understand that question lol

What is the value of the expression if z=27?
7/9z-18+1/3z
A. 12
B. 30
C. 48
D. 84

Answers

Answer:

12

Step-by-step explanation:

Just put in the value of 27 in all the z's

How do I solve this problem??

Answers

ANSWER

slope 1: -5/2
slope 2: 7/5
slope 3: -5/2

line 1 & 2 - neither
line 1 & 3 - parallel
line 2 & 3- neither

Explanation: y2-y1 over x2-x1
you simply plug in the y and x values into this equation & find the slope.

1 2⁄3 ÷ 3 1⁄3 =

answer ASAP please

Answers

Answer:

0.5 or 1/2 ☺

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

If a circle has more than one radius, they are all the same distance from the center to the edge.
True or False

Answers

THE ANSWER IS FALSE IM PRETTY SURE

Answer:

True

Step-by-step explanation:

All radii are half of a diameter.

Lucy has 68 books.
This number of books is 70% more than the number of books she had last year.
How many books did Lucy have last year?

Answers

Answer:

Lucy had 40 books last year.

Step-by-step explanation:

assuming 100% is the percent;

100% + 70%

100 : x

170 : 68

cross multiply = 170x = 100 x 68

-------- ————-

170 170

cancel 170/170

therefore x = 100 x 68 divided by 170

result is 40

The number of books that Lucy has last year will be 40 books.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Lucy has 68 books. This number of books is 70% more than the number of books she had last year.

Let 'n' be the number of books. Then the equation is given as,

1.7 n = 68

n = 68 / 1.70

n = 40

The number of books that Lucy has last year will be 40 books.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ2

For the mathematics part of the SAT the mean is 514 and the standard deviation of 113, and for the mathematics part of the ACT the mean is 22 with a standard deviation of 4. Bob scores a 685 on the SAT and a 29 on the ACT. Use z-scores to determine on which test he performed better.

A) ACT
B) SAT

Answers

Bob did better on the ACT test. The answer is B.) ACT.

What is the equation shown in the graph? Explain your answer.

Answers

Answer:

y=x

Step-by-step explanation:

The graph is going 1 up and 1 to the right. You can plug in a value for x and get y. So if you plug in 1 for x, you get 1 for y and if u plug in 2 for x, you get 2 for y, so when you graph (1, 1) and (2, 2) you know the graph is y=x.

(can I get brainliest please)

The principal of East High School wants to buy a new cover for the sandpit used in the long-jump competition. He measured the sandpit and found that the length is 29.2 feet and the width is 9.8 feet. What will the area of the new cover will be. (I'll give brainliest for an explanation)

Answers

286.16 multiply the whole thing

Which set of ordered pairs does not represent a function?
{(-3,-3), (6,-1),(4,-4), (9, -3)}
O {(-5,8), (4,3), (-4,-4), (2,8)}
o {(6, -1),(-2, -1),(-8,-4), (5,9)}
o {(4, -2), (1,9), (-1,2), (1,4)}

Answers

The last one because 1 in the x column repeats.

Answer:

the fourth

Step-by-step explanation:

For it to be a function the x values may not repeat ever

Please answer if your good with graphs please!

Answers

Answer:

x = -5

Step-by-step explanation:

f(x)= is another way of saying y=

When y is equal to -3...you are looking for a point on the graph where it is -3 on the y-axis..then x is -5.

Look at (-5,-3).

6) Cassie and Gabby are selling pies for a school fundraiser. Customers can buy apple pies and lemon pies. Cassie sold 6 apple pies and 4 lemon pies for a total of $80. Gabby sold 6 apple pies and 5 lemon pies for a total of $94. What is the cost of each pie?​


I need help plz

Answers

Answer:

Explanation:

Cassie sold 6 apple pies and 4 lemon pies for 80$

Gabby sold 6 apple pies and 5 lemon pies for 94$

They both sold 6 apple pies but gabby sold 1 lemon pie more than Cassie and her total increase by 14$. Thus, we can say that 1 lemon pie = 14$.

If 1 lemon pie = 14$ then 5 lemon pie = 14 x 5 = 70$

And:
6 apple pies + 70$ = 94$
6 apple pies = 94 - 70
6 apple pies = 24
1 apple pie = 24/6 = 4$

Therefore, 1 apple pie = 4$ and 1 lemon pie = 14$

Which steps are needed to solve this equation?
.
b minus 21 = 177
Subtract 21 from the left side and add 21 to the right side of the equation.
The answer is b = 198.
Check the solution by substituting 198 for b.
Add 21 to the left side and subtract 21 from the right side of the equation.
The answer is b = 156.
Check the solution by substituting 198 for b.
Subtract 21 from both sides of the equation.
The answer is b = 156.
Check the solution by substituting 156 for b.
Add 21 to both sides of the equation.
The answer is b = 198.
Check the solution by substituting 198 for b.

Answers

Answer:

D. Add 21 to both sides of the equation.

The answer is b = 198.

Check the solution by substituting 198 for b.

Step-by-step explanation:

D. 21-21= 177+21=198

     0

198-21=177

The steps are needed to solve b - 21 = 177 equation are:

Add 21 to both sides of the equation.

The answer is b = 198.

Check the solution by substituting 198 for b.

What is an equation?

"It is a statement which consists of equal symbol between two mathematical expressions."

What is the solution of the equation?

"It is the set of all values that that make an equation true."

For given question,

We need to solve the equation b - 21 = 177

⇒ b - 21 = 177                                ................(original equation)

⇒ b - 21 + 21 = 177 + 21                 .................(Add 21 to each side)

⇒ b = 198

Therefore, the steps are needed to solve b - 21 = 177 equation are:

Add 21 to both sides of the equation.

The answer is b = 198.

Check the solution by substituting 198 for b.

Learn more about solution of equation here:

https://brainly.com/question/545403

#SPJ2

What is the slope of the equation that passes through the points (-2, 6) and (7, -5)

Answers

Answer:

-11/9

Step-by-step explanation:

Ben was holding a bake sale to raise money for his field trip. He sold cookies for $2 each, muffins for $1 each, and lemonade for $4 a bottle. If he sold 24 cookies, 13 muffins, and 36 bottles of lemonade, how much money did he raise for his field trip? Explain how you found your answer.


Answers

Answer: he raised $205

Step-by-step explanation:

cookies: $48 (24x2)

muffins: $13 (13x1)

lemonade: 144 (36x4)

144+13+4=$205

Answer:

205

Step-by-step explanation:

COOKIES: 2x24= 48

MUFFINS: 1x13= 13

LEMONADE: 4x36= 144

144+ 48+ 13= 205

written answer:

The answer is 244 i got this answer by mulitplying how much he sold by the prices he sold by.So i multiplied 2x24 for the cookies and got 48, then i multiplied the muffins 1x13 to get 13.Finally i multiplied 4x36 to get 144 after that, i added all the sums up and i got the answer 205. So Ben raised $205 for his feild trip.

7) A cylindrical pipe has a circumference of 16 cm. Calculate the diameter of the pipe

Answers

Answer:

pi×diamiter = circumference

pi÷circumference = diamiter

3.14159265358979 (pi) ÷ 16

Step-by-step explanation:

BCDE is a parallelogram.
What is the measure of <BEC​

Answers

The measure is 90 if correct

uhhh if you get all of these correct ill gib banana

Answers

Answer:

For the first one, I believe it's RT and TV - ST and TU

Second one, first and second answer.

And third is SSS I believe

Really hope this helps you out, I struggle a bit in Geometry as well, so I get what you're going through

............Find .....X......

Answers

Answer:

x=50

Step-by-step explanation:

(x-10)+x+90=180

2x-10+90=180

2x+80=180

2x=100

x=50

looking from the picture it would be 50

HELPPP!!!!!

Enter the LCD of the fractions.



5/6 , 2/7 , and 17/21.

DONT GET IT WRONG PLEASE!

Answers

42 is the LCD of all the above fractions.

a=3/a+2
Answer please ?

Answers

kkakskkskszlkzkzsiksks

How do I solve this equation?

Answers

Answers: -10,5 how to solve: 2x+5=15
2x+5=-15
2*5+5=15
2*-10+5=15
Hope this helps
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