Mathematics High School

Find a formula for the nth term in this
arithmetic sequence:
a1 = -7, 22 = -1, a3 = 5, 24 = 11, ...

Answers

Answer 1

Answer:

[tex]a_n=6n-13[/tex]

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences can be identified because each term is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

[tex]a_n=a_1+(n-1)r[/tex]

Here a1 is the first term and r is the common difference.

The given sequence is:

[tex]a_1=-7, a_2=-1,a_3=5,a_4=11,...[/tex]

We can find the common difference by subtracting successive terms:

[tex]a_2-a_1=-1+7=6[/tex]

[tex]a_3-a_2=5+1=6[/tex]

[tex]a_4-a_3=11-5=6[/tex]

Since all the differences are equal, r=6. Thus, the general term is:

[tex]a_n=-7+6(n-1)[/tex]

Operating:

[tex]a_n=-7+6n-6[/tex]

[tex]a_n=6n-13[/tex]

The nth term is:

[tex]\mathbf{a_n=6n-13}[/tex]

Related Questions

HELP ILL BRAINLIST THE FIRST ONE TO ANSWER

Answers

Answer:

first! Plz brainliest

Step-by-step explanation:

y=-6x+334

Answer:

y=-6x+334

Step-by-step explanation:

7. On Monday, Jeremiah had a debt of $92.80 after buying a pair of Jordan's. Jeremiah was
paid $126.42 from his job at Home Depot on Tuesday. After depositing his check from
Home Depot, what is the amount, in dollars, in Jeremiah's bank account?
A $33.62
B. $219.22
C. $174.42
D. $42.22

Answers

Answer:

A $33.62

Step-by-step explanation:

To figure this out you have to take -92.80 and add 126.42 to get $33.62. Have a great day and LEAVE ME ALONE PLZ! <3

Answer:

-92.80+126.42=33.62

Step-by-step explanation

Since you owe $92.80 it would be a negative. So it would be like this.

126.42-92.80= 33.62

Or

-92.80+126.42=33.62

Hope this Helps.  

A spinner has 8 equal sectors with different letters for each sector, as shown below:

A spinner with 8 equal sectors is shown. The sectors are labeled B, Y, G, P, O, V, M, and R.

Hamlet spins the spinner 13 times, and it stops at the letter R 9 times. If he spins the spinner a 14th time, what is the theoretical probability that this time it will stop at the letter R?

Answers

Answer:

The theoretical probability of obtaining letter 'r' at the 14th spin is:

1/8

Step-by-step explanation:

It is given that:

A spinner has 8 equal sectors with different letters for each sector.

The sectors are labeled b, y, g, p, o, v, m, and r.

Hamlet spins the spinner 13 times, and it stops at the letter r 9 times.

We are asked to find the theoretical probability that we will get  letter r at the 14th spin.

The theoretical Probability is given as the ratio of number of favorable outcomes to the total number of outcomes.

Hence, the theoretical probability of obtaining letter 'r' at the 14th spin is:

( As there are a total of 8 outcomes( or 8 sectors) out of which there is only one sector which is red)

Hope this helped

help :< I got 8 but idk if that's right​

Answers

Answer:

8 is correct!

Step-by-step explanation:

each table can seat 5 people (3+2=5) then figure out how many tables that can seat 5 you will need for 40 people, do this by multiplication 5×8=40 so you need 8 tables

Please help!!!!! Only 10,12,and 14.
Worth 20 points!!!!
Wrong answers will be reported!

Answers

Answer:

10. 3.75 cm

Step-by-step explanation:

10. (5x-5)/56=(3x-5)/32

                 x=1.75

AC=5x-5

    =5*1.75-5

    =3.75 cm

Mark me as brainliest

1.Below are the scores from team Mexico in the women’s swim team competition. Mexico received a score from seven judges in different countries. Their overall score is an average of the seven scores. What is team Mexico’s overall score?

A)What was Mexico’s total scores?



B. What was the overall average of their scores?

Answers

Answer:

Mexico's total score was 49

The overall average was 7

Step-by-step explanation:

7.5+6.4+9.1+5.4+5.4+6.2+9.0=49

49/7=7

The equation of the line that passes through points (0, negative 7) and (2, negative 1) is shown below. What value is missing from the equation?

Answers

Answer:

3

Step-by-step explanation:

I got it right on edge 2020, your welcome :)

Answer:

3

Step-by-step explanation:

:)

At a basketball game, 3 out of every 10 people who enter the gym will be wearing hats. If 250 people attend the game, about how many of them will probably be wearing hats?

Answers

Answer:75

Step-by-step explanation:

Ningun número complejo es igual a su conjunto. Verdadero o falso

Answers

Answer:

numbro 4

Step-by-step explanation:

Can somebody tell me the answer and I will pay u

Answers

Pay me how in what way

for the straight line x=2y-3, what are the slope and the y-intercept​

Answers

Answer:

slope = 2

y-intercept = (0,-3)

Answer: Rearrange the equation to get m= 1/2, b= 3/2

Step-by-step explanation:

Will give brainliest if correct.

Answers

Answer:

Step-by-step explanation:

hi

pls help due today!!!
1. Is Andres triangle congruent to the one on the data card?

2. What other information could Andre have asked for to be sure the triangle he drew is congruent?​

Answers

Answer:

1. Yes, both of the triangles are congruent to each other

2. Are the sides on the triangles from AB∠, BC∠, and CA∠ the same length as Andres triangles?

Step-by-step explanation:

Congruent means the same so number one is asking if the triangles are the same and yes the are because they have the same angles

What is the measure of angle b?

Just show me some work. I don’t need anything else I know the answer

Answers

Answer:

well i mean i guess you know what it is

Step-by-step explanation:

We know that all of the angles in a triangle must add up to 180. so to find the measure of angle b, we can add the two known angles together, and take that number away from 180. (we would do this to find out how much is left to complete a full 180 degrees) 115+31=146. 180-146=34. since all of the angles 31, 115, and 34 add up to 180, we know that 34 is the correct answer

✌

Ayuda ¿10 y 12 son divisibles por?

Answers

Answer:

2

Step-by-step explanation:

10/2=5

12/2=6

espero que esto ayude!

Answer:

Son divisibles por 1 y 2

Step-by-step explanation:

What will be the answer for x?

Answers

Answer:

x=8

Step-by-step explanation:

5x+6+134=180

5x=40

x=8

There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest inch, how many inches are in 16 meters?

Answers

Answer:

629 inches are in 16 meters

Answer:

Multiply total meters by 100 to get total centimeters:

6 meters x 100 = 600 centimeters.

Now divide total centimeters by 2.554 to get total inches:

600 centimeters / 2.54 = 236.22 inches.

Rounded to the nearest inch = 236 inches.

Step-by-step explanation:hi

Sarah has $400 in a savings account at the beginning of the summer. She wants to have at least $100 in the account by the end of the summer. She withdraws $20 each week for fun. How many weeks can Sarah withdraw money from her account?

Answers

Answer:

15

Step-by-step explanation:

400 - 100 = 300

300 ÷ 20 = 15

Six less than a number t

Answers

Answer:

Yeah i guess

Step-by-step explanation:

I'm just playing t-6

Зу х бу^2

Can someone help me please

Answers

Step-by-step explanation:

[tex]3y \times 6 {y}^{2} [/tex]

take outcommon term 3y

[tex]3y(1 \times 2y)[/tex]

hope ithelps :)

plz mark as brainliest

38.9 divided by 2.91. What is it.

Answers

13.36 I don’t know if you need the rounded up form but if so 13.37

Answer:

13.3676975945 or 13.37

Step-by-step explanation:

you can also search it on google or a calculator lol

tickets to the zoo cost $12 for adults and $8 for children the school has a budget of $240 for the field trip. an equation representing the budget for the trip is 240 = 12x + 8y here is s graph of the equation

Answers

Answer: x=

−2

3

y+20

Step-by-step explanation

240=12x+8y

Step 1: Flip the equation.

12x+8y=240

Step 2: Add -8y to both sides.

12x+8y+−8y=240+−8y

12x=−8y+240

Step 3: Divide both sides by 12.

12x

12

=

−8y+240

12

x=

−2

3

y+20

Answer:

x=

−2

3

y

Josh went to a local barber to get his haircut. It cost $18 for the haircut. Josh tipped the barber 15%. What was the total cost of the haircut including tip?

Answers

$20.70

Step-by-step explanation:

15% of 18 is 2.7 so 18 + 2.7 = 20.70

I need help please!!

Answers

The answer is 3 & 2/15

if 8 is added to a number x, and the sum is divided by 2, the result is 5 times the number x. what is the value of x​

Answers

Answer:

x= 8/9

Step-by-step explanation:

(x+8)/2=5x

x+8=10x

8=9x

x=8/9

ANSWER ASAP PLEASE !

Answers

Step-by-step explanation:

i feel like its a or c i really am not sure and i really dont want to put the wrong thing i really hope this helps

The number of pounds of dog food that a pet store has is represented by the equation y = -15 x + 430, where x represents the number of days that the store is open and y represents the pounds of dog food in stock in the store. How many pounds of dog food will the pet store have after 21 days? *

A. 92
B. 115
C. 315
D. 336

Answers

Answer:

bro its b

Step-by-step explanation:

12 is 90% of what number?


with steps

Answers

Answer:

you turn 90 to a multiplier so u divide it by 100

then u do 0.9*12

=10.8

Answer:

(The other answer is incorrect. It's even smaller than the original number... yikes!)

13 ⅓

Step-by-step explanation:

12/(0.9) = 13⅓ ≈ 13.34

Which statement can be represented by the equation 2/5 x + 9 = 9?
______________________________________________________
A) 2/5 of 9 is a number.

B) 2/5 of x is 9.

C) 9 > 2/5 of x is 9.

D) x + 9 is the same as 2/5 of 9.
______________________________________________________

Answers

I’m not sure but I think it’s B

12.97 12.957 12.75 least to greatest

Answers

Answer:

12.75, 12.957, 12.97

Step-by-step explanation:

12.75
12.957
12.97

Hope this helps
Other Questions
Brainliest!!!!! Please hurry!! This is a lab for science can you help with punctuation errors? Also where it says figures I have pictures :) (I am in 7th grade btw so no hate)Leaf labPurpose: Find out if the leaf area of a given tree is bigger on the North or the Southside. Learn more advanced statistical analysis.Research: To find the area of an irregular shape its whole + part which is whole plus part divided by 2. The shape of the leaf will be traced. They are affected by the Earth's tilt and the sun because we are in the North Hemisphere.Figure 1 is an example of the Earths tilt and how the sun gives a certain amount of heat to different parts of the Earth. The south gets more sun its because the leaves burn while the north leaves get less sun. The north leaves are thinner but bigger in area than the leaves that get a lot of suns. This makes them smaller or bigger because one side might get more sun which makes north leaves bigger.Hypothesis: The leaves on the Northside are bigger.Procedure:1. Collect 35 leaves from the Northside and 25 leaves from the Southside.2. A tree that is not in shade.3. Press the leaves flat.4. Trace the leaves onto graph paper using both sides of the page keeping North and South separate.5.Count whole (w) and partial squares (p) and calculate the area of each leaf in squares 6. with the equation A= W+ P.Figure 2 is an example of the equation A= W+ P. There are 4 wholes and 8 parts so the area is 8 inches squared because 4+ 8= 8.7. Create a north and South leaf data table.8. Discard leaves afterward.9. Put the leaf area in order from smallest to greatest in each table.10. Find the mean, median, mode of the 2 data sets as well as the entire range of 50 leaf data sets.11.Create a histogramUse the range to find the size of 7 bins. USe the nearest whole numberSort leavesCount leaves and creates a chart12.Create histograms of individual data using Microsoft Excel or google docs 5. Results: The north's side leaves are bigger than the south side by a few a lot, 6. Conclusion: It was a warm sunny day and windy. The experimenter gathered 25 leaves from the North and South sides with all different sizes and colors. The hypothesis was supported based on the data collected. One reason why it was supported was that the North overall average was greater than the South. The Northside leaves are greater is that it is proven by facts. If someone compared a random south leave to a random north leaf, most times the North would be bigger because the probability of getting a big leaf is higher for North rather than South. The second piece of evidence from my data is that the South bin had more leaves in smaller bins while the North bin had an equal amount of leaves in the high and low bins. 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