Find the common difference for the following sequence and fill in the missing terms. Show all calculations. 2, 13, 24, 35, __, __

Answers

Answer 1

Step-by-step explanation:

Hey there!

Given sequences are; 2 , 13 , 24 , 35 , _ , _ .

Now,

Common difference (d) = 2nd term - 1st term. = 13-2 = 11

When we subtract 1st term from 2nd term we find 11 and when we subtract 2nd term from 3rd term we get 11. This means our common difference is 11.

Now, let's find the nrh term of the sequence.

nth term= a1 + (n-1)d ( a1= 1st term, d= common difference)

nth = 2+ (n-1) 11

= 2 + 11n - 11

= 11n - 9

Let's check if we have got nth term correct.

a1= 1*11 - 9 = 2

a2 = 2*11-9 = 13

a3 = 3*11 - 9 = 24

a4 = 4*11-9 = 35

So, we got our nth term.

Let's find remaining sequence.

a5= 5*11 - 9 = 46.

a6= 6*11 - 9 = 57.

Therefore, the remaining terms are : 46 and 57.

Hope it helps...

Answer 2

2+11=13

13+11=24

24+11=35

35+11=46

46+11=47


Related Questions

A mobile phone carrier charges an extra fee if a customer uses more than 500 minutes each month. Tom has already used 230 minutes this month. Which inequality can be used to determine how many more minutes Tom can use this month without going over the 500-minute limit?


A. 230 + m > 500

B. 230 + m greater-than-or-equal-to 500

C. 230 + m < 500

D. 230 + m less-than-or-equal-to 500

Answers

Answer:

230 + m < 500

Step-by-step explanation:

The inequality shows that the combined total of 230 and m (stands for minutes Tom can use) is less than 500.

i believe the answer would be C

A tennis pro has 12 can of tennis balls. There are 3 balls in each can. He gives an equal number of balls to each of the 4 players. After the lesson, he realizes that each player lost 3 balls. How many tennis balls are left? Show your work and explain (in complete sentences) how you found your answer.

Answers

Answer:

24 Tennis balls

Step-by-step explanation:

Calculation for How many tennis balls are left

First step

Since we have 12 can with 3 balls each Let the number of balls that the tennis pro has at the beginning be x

x=(12 can ×3 balls each)

x=36

Second step

Since we have 4 players who lost 3 ball each Let the total number of balls that was lost be y

y=(4 players×3 balls each)

y=12

Third step is to calculate How many tennis balls are left

Since x represent the number of balls at the beginning and y represent the number of balls that was lost , then let the number of tennis balls that was left after the session represent z

z=36−12

z=24 Tennis balls

Therefore the numbers of tennis balls that are left will be 24 Tennis balls

Can y’all help me with this math problem please! I don’t understand

Answers

KL = 23

so you just have to add both of the segment lengths together.

each individual equation is already given in the image, so I'll substitute it out below:

JK + KL = JL

4x+2 +4x+3 = 45

8x + 5 = 45

8x = 40

x = 5

BUT WE'RE NOT DONE. plug in 40 for the variable X:

KL = 4(5) + 3

KL = 20 + 3

KL = 23

now i'll check my answer really quickly:

23 + 4(5) + 2 = JL

23 + 20 + 2 = JL

23 + 22 =

45

therefore, KL is 23

If your friend is driving at a speed of 25 miles per hour, how many miles per second is your
friend traveling?

Answers

Answer:

0.0069444444

Step-by-step explanation:

In January, Dawn earns $9.25 allowance. She earns 3 times as much in February. If during March, she earns $5.75 more than she did in February, how much allowance does she earn in March?

Answers

Answer:

$33.50

Step-by-step explanation:

$9.25 is how much she has in January and she earns 3 times as much in February. So multiply 9.25 and 3, then you get 27.75. We need to find out how much she makes in March so simply add $27.75 and $5.75.

Your answer will be $33.50

Please help me with 47 and 48

Answers

Answer:

42. -1

48. 2

Step-by-step explanation:

Answer:

-1

2

Step-by-step explanation:

8. Felicity bought 34 of a pound
of hamburger. She used 12 of the
hamburger for dinner. How much
hamburger did she use?

Answers

9514 1404 393

Answer:

  3/8 pound

Step-by-step explanation:

If Felicity started with 3/4 pound and used 1/2 of it, then the amount she used was ...

  (1/2)(3/4 pound) = (1·3)/(2·4) pound = 3/8 pound

Felicity used 3/8 pound of hamburger for dinner.

needing help with this problem​

Answers

Answer:

The answer is x+6

Step-by-step explanation:

The Y intercept from the translated unit and the one before are 6 units apart

The Sugar Sweet Company is going to transport its sugar to market. It will cost $3500 to rent trucks, and it will cost an additional $150 for each ton of sugar
transported.
Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S. Then use this
equation to find the total cost to transport 19 tons of sugar.

Answers

Answer:

$2850 is the cost of 19 tons of sugar  and $6350 is the cost of trucks and sugar

Step-by-step explanation:

Well if the trucks cost $3500. 19 x 150=$2850 the cost of 19 tons. 3500+2850=$6350 cost of sugar and trucks.

Answer:

Step-by-step explanation:

Lauren wants to build a model
airplane using a scale where 2 inches
represents 15 feet. If the airplane is
75 feet long, how long should the
model be?

Answers

Answer:

Step-by-step explanation:

you got this i believe in you!

Can you guys please answer this it is due in 15 mins I really need help with all of them!

Answers

Answer:

3) is D

4)is A

5)

6)B

Step-by-step explanation:

hdhhdhdjd

PLEASE HELP urgent math questions

Answers

Answer:B

Step-by-step explanation:


[tex] \frac{x - 9}{15} = \frac{2x - 9}{10} [/tex]
solve the proportion. Round to the nearest hundredth if necessary.

Answers

The answer is 2.25
Have a good day

sorry but i have another question :| tysm all yall for helping meee ^w^

Answers

9514 1404 393

Answer:

4: {8, 12, 16, 24}7: {7, 42, 49}neither: {6, 11, 17}

Step-by-step explanation:

Looking at the numbers individually, we have ...

16 = 4×4

42 = 2×3×7

6 = 2×3

17 = 1×17 (prime)

12 = 3×4

49 = 7×7

24 = 2×3×4

7 = 1×7 (prime, a multiple of 7)

11 = 1×11 (prime)

8 = 2×4

__

Multiples of 4:

  16, 12, 24, 8

Multiples of 7:

  42, 49, 7

Multiples of neither:

  6, 17, 11

Write -8 5/6 as the decimal round to the nearest hundredth

Answers

Answer:

-8.83

Step-by-step explanation:

I took 5/6 and converted into a decimal and it is 0.83333333333 and it is 0.83 rounded to the nearest hundredth and then I added -8 to get -8.83.

The measures of 13 of the 14 angles of a 14−gon add up to 2,016°. What must the fourteenth angle measure be?

Answers

Answer:

[tex]x = 155 \frac{1}{13}[/tex] or 155 1/3 degrees. If you want a decimal, 155.076923 degrees.

Step-by-step explanation:

2,016 is the sum of 13 identical numbers. Let's say the unknown number is [tex]x[/tex]. We'll now write an equation to solve it.

[tex]13x = 2016[/tex]

Divide both sides by 13.

[tex]x = \frac{2016}{13}[/tex]

Now, I went ahead and solved this and ended up with a repeating decimal. But for your sake we'll just make it a nice mixed number.

13 goes into 2016 155 times.

Here, I'll check for you.

[tex]13 * 155 = 2015[/tex]

So, if we were to turn this into a mixed number, we'd get something like this.

[tex]x = 155 \frac{1}{13}[/tex]

That should be your fourteenth angle measure.

please help me with number 5 it’s been due

Answers

Answer:

The equation is;

y = 1/2x + 7

Step-by-step explanation:

Here, we want to write in the slope-intercept form, the equation that goes through the two points

The general form of this is;

y = mx + b

where m is slope and b is the y-intercept

we start by calculating the slope of the line

m = (y2-y1)/(x2-x1)

m = (8-6)/(2-(-2))

m = 2/4 = 1/2

So we have ;

y = 1/2x + b

To get b, we use any of the two pints

8 = 1/2(2) + b

8 = 1 + b

b = 8-1

b = 7

Ms. Taylor's checking account changes by-$1146 every year on her
electricity each year. How much does her account balance change per
month?

Answers

Answer:

-95.5

Step-by-step explanation:

if you do -1146 divided by 12 you get -95.5

Can anyone help me please

Answers

Answer:

11 im pretty sure y = 11 in your question

To win the recycling contest, you must collect a total average between 83 and 87 pop tabs for 4 weeks, inclusive. Suppose you collected 82, 86, and 84 pop tabs during the first three weeks of competition. What are the possible number of pop tabs you can collect during the last week in order to win the recycling contest?

Write an inequality where X is the number of pop tabs you can collect during the last week. Then solve to find out the possible number of pop tabs you can collect.

Answers

Answer:

Inequality:

83 ≤ (82 + 86 + 84 + x)/4 ≤ 87

Step-by-step explanation:

You must collect no less than 80 and no more than 96 pop tabs.

Nick and June win some money and share it in the ratio 3:1. Nick gets 30 £60 more than June. How much did they get altogether

Answers

Answer:

£120

Step-by-step explanation:

With regards to the above, the difference between the ratio is

3:1 is 2

I.e

(3 - 1) = 2

Nick gets 2 extra, which is equal to £60

Therefore,

1 share = £60/2 = £30

June gets 1 share = 1 × £30 = £30

Nick would get = 3 × £30 = £90

Therefore, the value gotten by both would be;

= £30 + £90

= £120

~Please I really need help~ Alex works as a carpenter making wooden tables. He is guaranteed a base pay of
$300 per week, and also earns $50 per completed table. Write an equation to
determine Alex's weekly pay. He hopes to make at least $800 per week. How many
tables per week does he need to make?

Answers

Answer:

Alex needs to make 10 tables per week.

Step-by-step explanation:

If his base pay is $300, then subtract it from $800, you get $500. Then divide $500 by how much Alex earns per table, $50, then you get 10. Alex needs to make 10 tables per week.

??
The multiplicative verse of
(3x+5) 1/3

Answers

Answer:

tanother way of writing this is the cube root of3x+5

Find the slope with these ordered pairs.
(0,6), (1,8) m =

Answers

Answer:

m = 2

Step-by-step explanation:

It is correct, trust me. I am a whiz at Slope.

Brainliest Please!!??

Question Help
You invested $23,000 in two accounts paying 8% and 9% annual interest, respectively. If the total interest earned for the year was
$2040, how much was invested at each rate?
The amount invested at 8% is $
The amount invested at 9% is
Enter your answer in each of the answer hoxes

Answers

x + y = 23000

x.08 + y.09 = 2040

x = 23000 - y

(23000 - y) .08 + y.09 = 2040

1840 - .08y + .09y = 2040

Simplify

.01y = 200

Simplify

Y = 20000

X + 20000 = 23000

X = 3000

CHECK: .08x + .09(20000) = 2040

.08x + 1800 = 2040

Simply .08x = 240

X = 3000

True or False:

cot = 1/tan

Answers

Answer:

I think its true??? right... its true

Step-by-step explanation:

Answer:

it is true

Step-by-step explanation:

Q. A triangle with side lengths of 20, 26, and 15 is classified as what type of triangle?
O Right
O Not enough information
O Acute
O Obtuse

Answers

Answer:

Obtuse

Step-by-step explanation:

It's definitely not a right triangle.

And one angle is greater than 90 degrees.

Please help, thank you

Answers

I found 30

all I did was 125÷5 which is 25

and 1.2x25 which is 30

HELP, WILL GIVE BRAINLIEST!!!!!!

What type of association is shown by the scatterplot?

linear, strong
linear, weak
nonlinear, strong
nonlinear, weak

Answers

that's a very hard one if i had to guess i'd say moderate linear but that's not an option so i'd say weak linear

Answer:

Non-linear, I believe its weak  

Step-by-step explanation:

You can see clearly that the lines are not tightly packed, and they arent making a line.

Let me know if you need more help! :)

Hope this helps!

Jackson earned $327 in November. In December, he makes 3 times less money than he did in November. Write an equation to find the amount of money, m, that Jackson earned in December. Part 2: How much money does Jackson earn in December?

Answers

Answer:

Step-by-step explanation:

it is 327x3 3times then take answer and merge it with December and multiply that and you get your answer

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