An AP is given by k,2k/3,k/3,0 .....Find the sixth term. find the nth term. If the 20th term is equal to 15, find k​

Answers

Answer 1

9514 1404 393

Answer:

6th term: 8k/3n-th term: an = k + (k/3)(n -1)k = 45/22 for 20th term = 15

Step-by-step explanation:

You know the general term of an AP is ...

  an = a1 +d(n-1)

Here, a1 = k. The common difference is ...

  2k/3 -k = -k/3

So, the general term is ...

  an = k +(k/3)(n -1) . . . . the general term

__

The 6th term is then ...

  a6 = k + (k/3)(6 -1) = (3k +5k)/3 = 8k/3 . . . . 6th term

__

The 20th term is ...

  a20 = k + (k/3)(20 -1) = 22k/3

If this is 15, then the value of k is ...

  22k/3 = 15

  22k = 45

  k = 45/22 . . . . value of k for a20 = 15


Related Questions

At pizza express it takes 6 cups of cheese to make 15 pizzas. At perfect pizza it takes 4 cups of cheese to make 6 pizzas. If the number of pizzas,y,is proportional to the cups of cheese,x, which pizza place has a larger constant of proportionality?

Answers

Pizza Express has a larger constant of proportionality than Perfect Pizzas because 1.6 > 1.5

15/6        6/4

  Simplify

5/3    >    3/2

PE: 5/3 or 1.6

PP: 3/2 or 1.5

I had this on my math test

How can you estimate the area of a irregular figure?

Answers

Answer: To find the area of irregular shapes, the first thing to do is to divide the irregular shape into regular shapes that you can recognize such as triangles, rectangles, circles, squares and so forth... Then, find the area of these individual shapes and add them up!

Answer:

and that how you estimate the area of an irregular figure

The statement "If a = 6, then 6 = a." illustrates which property?

Answers

Answer

Symmetric law

Step-by-step explanation:

This means that even if you swap the numbers the answer stays the same.

HOPE IT HELPED

HAVE A GOOD NIGHT/DAY

What is the slope of the line that passes through points (-3,5) and (11,5)

Answers

Answer:

slope = -3/14

Step-by-step explanation:

y1  - y2 / x1 - x2

They gave you one value, two total coordinates

5-5 = 1

-3 - 11

-14

1/-14

y=1/-14 + b

11= 1/-14(-3) + b

11 = -3/14 + b

17 + 14

b = 15 3/14

Identify all the numbered angles that are congruent to the given angle.
Justify your answers.

Answers

Answer/Step-by-step explanation:

The reasons for the stated numbered angles that are congruent to the given angles are written in the parentheses as follows:

7. <7 ≅ 65° (alternate interior angles)

<4 ≅ 65° (corresponding angles)

<1 ≅ 65° (vertical angles)

8. <4 ≅ 51° (alternate interior angles)

<5 ≅ 51° (corresponding angles)

<7 ≅ 51° (vertical angles)

9. <1 ≅ 120° (corresponding angles)

<3 ≅ 120° (alternate angles)

Hello Please Answer Quickly:

Answers

Answer:

17 1/30

Step-by-step explanation:

Answer:

The answer is 1/6.

53/6 is the largest and -26/3 is the smallest.

I need your help! there’s a photo above ^^

Answers

Answer:

1. c 2.  No, its not the original figure. Its 270 degree turn.

Step-by-step explanation:

Answer:

1.) C 2.) choice d flipped left to right.

The record low temperature in Pittsburgh, PA is ​-22°F. The record high is 103°F. What is the difference in the record high and the record low temperatures?

Answers

Answer:

The difference in the record high and the record low temperatures is 125°F

Step-by-step explanation:

Given a quantity T that varies in time, say T1 and T2, being T1 the initial value and T2 the final value.

The change or difference between the final and the initial values is:

T=T2-T1

The record low temperature in Pittsburgh, PA is T1=-22°F while its record high is T2=103°F

The difference is:

T=103°F - (-22°F)

Note both negative signs multiply to produce a positive sign, and a sum instead of a subtraction:

T=103°F + 22°F = 125°F

The difference in the record high and the record low temperatures is 125°F

Seven friends bought pizza. Each friend pitched in the same amount. If the pizza came to a total of $14.49, how much did each friend pay?

Answers

each friend payed $2.07

Answer: 7p = $14.49

Step-by-step explanation: BRAINLIEST MEEE

4) 41 25h+6
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3210 12 3 4 5 6 7 8 9

Answers

Step-by-step explanation:

buena suerte con todo....

Which expression represents the total volume of the two storage spaces

Answers

Answer:

S^3+12

Step-by-step explanation:

The big block shows three s then you have to simplify that with 12ft^3

The expression that represents the total volume of the two storage spaces is s³+ 12

What is the total volume?

The total volume of the two storage spaces is the sum of the smaller storage space and the larger storage space.

Volume = width x height x length.

Volume of the larger storage space = s x s x s = s³

The total volume of the two storage spaces = s³+ 12

To learn more about the volume of a cuboid, please check: https://brainly.com/question/26406747

What is the domain of this function?​

Answers

Domain = inputs = x = { 1 , 2 , 3 }

Range = outputs = y = { 2 , -1 }

_________________________________

And we're done.

Thanks for watching buddy good luck.

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how can I do this someone explain me

Answers

Answer:  Converse: If the candy has 350 calories, the candy is chocolate, False. There is another 350 calorie candy.

Inverse:  If the candy does not have 350 calories, the candy is not chocolate. True In this case, the evidence in the chart supports this. The inverse is not always true.

Contrapositive: If the candy does not have 350 calories, the candy is not chocolate. True   The evidence in the chart supports this statement, and the Contrapositive is generally considered a logical equivalent of the original.

Step-by-step explanation:

You need to have a basic frame for converting the original statement to the other forms such as

Original: If P, then Q

Converse: If Q, then P      Just reverse the parts

Inverse: If not P then not Q In the same order, make both negative, add "not"

Contrapositive: If not Q then not P Reverse the order of the original and make both negative.  

Need Help please i will mark brainliest when it lets me

Answers

Answer:it’s the second one

Step-by-step explanation:

Answer:

the 2nd one

Step-by-step explanation:

I asked my brother and he said it was that one

Estimate the total of 3,933+790+3,528+1,830 by adding the numbers and then rounding the result to the thousands place.

Answers

Answer:

The answer to your problem is 10000

Answer: 11,000

Step-by-step explanation:

Rounding to the nearest thousand first gives us,

4,000+1,000+4,000+2,000=11,000.

Anyone have the guided notes answers from this point up to the unit test ? Geometry A

Answers

Answer:

vvhcfggfcc

Step-by-step explanation:

ccgvvhhh I don't I need more points buddy

Determine the mode of the following data set:
21, 45, 44, 21, 40, 67, 93

Answers

Answer:

21 is the mode

Step-by-step explanation:

a mode is the number in a set that occurs the most and 21 is the number that appeared the most in this set

What is the equation of the line that is perpendicular to and has the same y-intercept as the given line

Answers

Answer:

y = 5x + 1

Step-by-step explanation:

Visually you can see the slope is -1/5, perpendicular just means opposite inverse so -1/5 becomes 5. Line crosses the y-intercept at point (0, 1).

y = mx + b

y = 5x + 1

Answer:

C.

Step-by-step explanation:

Just took the test

Which scales are equivalent to 1 inch to 1 foot?
Select all that apply.

A. 1 to 12
B. 1/12 to 1
C. 100 to 0.12
D. 5 to 60
E. 36 to 3
F. 9 to 108

Answers

Answer:

A, B, D, F

Step-by-step explanation:

The answer is A,d,b,f

what are the coordinates of (4,-3) after a translation 3 units right and 6 units up

Answers

Answer:

(7,3)

Step-by-step explanation:

The actual volumes of quart-size jars of Hellmann's mayonnaise are uniformly distributed from 31.58 to 32.51 fluid ounces. Find the standard deviation in volumes of quart-size Hellmann's mayonnaise jars (in fluid ounces). NOTE: There are 32 fluid ounces in a quart.

Answers

Answer:

0.27

Step-by-step explanation:

The standard deviation of a uniform distribution is:

σ² = (b − a)² / 12

σ² = (32.51 − 31.58)² / 12

σ² = 0.0721

σ = 0.268

Rounded to the hundredths place, the standard deviation is 0.27.

To solve this question, we use concepts of the uniform probability distribution.

Using this, we get that the standard deviation in volumes of quart-size Hellmann's mayonnaise jars is of 0.2685 fluid ounces.

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The standard deviation is:

[tex]S = \sqrt{\frac{(b-a)^2}{12}}[/tex]

The actual volumes of quart-size jars of Hellmann's mayonnaise are uniformly distributed from 31.58 to 32.51 fluid ounces.

This means that [tex]a = 31.58, b = 32.51[/tex]

Find the standard deviation in volumes of quart-size Hellmann's mayonnaise jars (in fluid ounces).

[tex]S = \sqrt{\frac{(32.51 - 31.58)^2}{12}} = 0.2685[/tex]

Thus, the standard deviation is of 0.2685 fluid ounces.

A similar example is given at https://brainly.com/question/15855314

solve equation with variable on both sides
2(3r-4)=4r=3

Answers

Step-by-step explanation:

your problem can't have two equal however if you mean 2(3r-4)=4r + 3 its equal to 11/2. but if you mean 2(3r-4)=4r(3) its equal to -4/3

Please help me on this question ASAP if you do ill give you brainliest!

Answers

Answer:

7. 2/3   8. 1 1/13 9. 1 3/5   10. 1 17/19    11. 1 16/19   12. 22.63    13. 4 20/39  14.2 16 /145  15. 1 25 /62

Step-by-step explanation:

To divide fraction, flip the second fraction then multiply.
If it is a mixed fraction, convert the mixed fraction first. Then follow the rule for dividing fractions

7. 24/55
8. 1 1/13
9. 1 3/5
10. 1 17/19
11. 1 16/19
12. 22/63
13. 4 20/39
14. 2 11/20
15 . 2 16/145

please help :D I understand them but I need someone to check them :)

Answers

So what you need help with like or we supposed to solve them ?

The management of Hartman Rent-A-Car has allocated $2.52 million to buy a fleet of new automobiles consisting of compact, intermediate-size, and full-size cars. Compacts cost $18,000 each, intermediate-size cars cost $27,000 each, and full-size cars cost $36,000 each. If Hartman purchases twice as many compacts as intermediate-size cars and the total number of cars to be purchased is 100, determine how many cars of each type will be purchased. (Assume that the entire budget will be used. Let x, y, and z denote the number of compact, intermediate-sized, and full-size cars purchased, respectively.)

Answers

Answer:

The number of compact cars = x = 30 cars

The number of intermediate-sized car = y = 60 cars

The number of full-size cars purchased = z = 10 cars

Step-by-step explanation:

Let us denote:

the number of compact car = x

the number of intermediate-sized car = y

the number of full-size cars purchased = z

The total number of cars to be purchased is 100.

Hence:

x + y + z = 100...........Equation 1

If Hartman purchases twice as many compacts as intermediate-size cars

y = 2x

So: x + 2x + z = 100..........Equation 2

= 3x + z = 100

z = 100 - 3x

Compacts cost $18,000 each, Intermediate-size cars cost $27,000

Full-size cars cost $36,000 each.

Assume that the entire budget will be used.

Hence,

x × $18,000 + y × $27,000 + z × $36,000 = $2,520,000.

18000x + 27000y + 36,000z = $2,520,000.....Equation 4

Substitute 100 - 3x for z and y = 2x in Equation 4

18000x + 27000(2x) + 36,000(100 - 3x) = $2520000

18000x + 54000x + 3,600,000 -108000x = $2520000

72000x -108000x + 3,600,000 = $2,520,000

= $3,600,000 - $2,520,000 = 108000x - 72,000x

$1,080,000 = 36,000x

Divide both sides by $36,000

x = $1080000/36000

x = 30

From the above:

y = 2x

y = 2 × 30

= 60

z = 100 - 3x

= 100 - 3 × 30

= 100 - 90

= 10

Therefore,

The number of compact cars = x = 30 cars

The number of intermediate-sized car = y = 60 cars

The number of full-size cars purchased = z = 10 cars

Can you help plz I need this

Answers

Answer:

110 square cm

Step-by-step explanation:

Answer:

i think it's c. 110 cm

Step-by-step explanation:

hope you pass your test ;)

I need help with this :/

Answers

Answer:

Plz mark me brainliest!!!!

Step-by-step explanation:

0

90

180

270

380

You had planned to go out for pizza with your friends Saturday night. You’ve all gathered at your place but when you’re about to leave, it starts to snow heavily, so you decide to have a pizza party at your place. The pizza delivery guy shows up with your order much sooner than you expected. The bill is $133.32. How much would you tip him? Explain your reasons for deciding how much to tip.

Answers

Answer:

$20

Step-by-step explanation:

the delivery guy show up early and that guy deserve 20bucks

Janine opens a savings account with a deposit of $850. The account pays 1.75% interest,
compounded daily. What is the first day's interest? Round to the nearest cent.

Answers

Answer:?????

Step-by-step explanation:

what is the answer? pls help

Answers

Answer:

for the line to have a constant slope, the difference of every y- ordinate with the last ordinate has to be equal

to check this, we will use the following formula

y4 - y3 = y2 - y1  

if both the LHS and the RHS are equal, the slope is constant and is irregular otherwise

5 - 8 = 7 - 3

-3 = 4

LHS ≠ RHS

Since LHS is not equal to RHS, the slope is NOT constant and hence keeps increasing or decreasing irregularly

Therefore, option 4 (Not a line) is correct

Answer:

it is not a constant line

Step-by-step explanation:

each x value increases by 1, but the y values are all over the place and are in no order.

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