An arithmetic sequence has this explicit formula: an = 14 + (n - 1)3. What is the recursive formula?​

Answers

Answer 1

Answer:

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 3 with a₁ = 14

Step-by-step explanation:

The explicit formula for an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference, then

[tex]a_{n}[/tex] = 14 + (n - 1)3

has a₁ = 14 and d = 3

A recursive formula allows a term in the sequence to be found by adding d to the previous term, thus recursive formula is

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 3 , with a₁ = 14


Related Questions

When do you need to flip the inequality sign when solving?

Answers

Answer:

When you divide by a negative.

Step-by-step explanation:

when you multiply or divide by a negative

Susie's bakery is having a sale on all cookies. The bakery is offering a sale pack of 4 cookies for $2.80. What is the unit price of a cookie within the sale pack?

Answers

Answer:

$11.02

Step-by-step explanation:

Im pretty sure this is right, srry if its not.

Can someone pls help me on this. I'll give BRAINLIEST

Answers

Answer:

i think the answer is 9

Step-by-step explanation:

(2x-1)=17

2x=17+1

x=18/2

x=9

2.5m to 150 cm
express these ratios in its simplest form.​

Answers

Answer:

The ratios in the simplest form is 5:3

Step-by-step explanation:

Given that:

2.5m to 150cm

We have to express these ratios in simplest form but we will convert the quantities into same unit first.

Therefore,

Converting meters into centimeters

1 meter = 100 cm

2.5 m = 100*2.5 = 250 cm

Ratio form;

250 cm : 150 cm

As both the number are multiples of 50,

[tex]\frac{250}{50}:\frac{150}{50}\\5:3[/tex]

Hence,

The ratios in the simplest form is 5:3

Expand and combine like terms. (8n^2+3n^7)(8n^2-3n^7)

Answers

Answer:

64n⁴ - 9n¹⁴

General Formulas and Concepts:

Algebra I

Terms/Coefficients/DegreesExpand by FOIL (First Outside Inside Last)Exponential Rule: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]

Step-by-step explanation:

Step 1: Define

(8n² + 3n⁷)(8n² - 3n⁷)

Step 2: Expand

FOIL:                               64n⁴ - 24n⁹ + 24n⁹ - 9n¹⁴Combine like terms:      64n⁴ - 9n¹⁴

O A box contains 40 oranges, 12 of which are
unripe. I pick one at random.
What is the probability that it is
a ripe
b unripe?​

Answers

Step-by-step explanation:

Nø of sample space, n(s) = 40

nø of unripe oranges, n (u) = 12

no of ripe oranges, n (r) = 40 - 12 = 28

Now

The probability that it is ripe is, P(E)

= n(r) / n(s)

= 28 / 40

= 7 / 10

Also the probability that it is unripe is, P(E)

= n(u) / n(s)

= 12 / 40

= 3 / 10

Hope it will help :)❤

What is 8 + 9 + -10 - 3x simplified?​

Answers

Answer:

7-3x

Step-by-step explanation:

8+9=17

17-10=7

7-3x

A coordinate plane. Use the coordinate plane to plot the points (6, 0) and (0, 5). Which statement is true? (0, 5) is located on the x-axis. (0, 5) is located at the origin. (6, 0) is located on the x-axis. (6, 0) is located at the origin.

Answers

Answer:

The correct option is (6, 0) is located on the x-axis.

Step-by-step explanation:

Given that we plot (6, 0) and (0, 5) on the xy–plane. We know that in (6, 0) 6 is the x-coordinate and 0 is the y-coordinate while in (0, 5) 0 is the x-coordinate and 5 is the y-coordinate.

Therefore, (6, 0) can be found on the x–axis not on the origin because it has shifted from 0 to 6 and (0, 5) can be found on the y-axis not on the origin because it has shifted from 0 to 5.

Hence, the correct option is (6, 0) is located on the x-axis.

Answer:

x-axis

Step-by-step explanation:

study the function table. HELP PLEASE​

Answers

Answer:

E. y=x+3

Step-by-step explanation:

just add 3 to the value of x and if you get the result as same as the value of y, it is the correct answer..

Reasoning The product of two factors is 4,200. If one of the factors is 60, what is the other factor? Explain.

Answers

Answer:

70

Step-by-step explanation:

Let's say something multiplied by 60 = 4,200

We will represent something with Y

Then,

Y × 60 = 4,200

60Y = 4,200

Divide both sides by 60, then we'll have

60Y/60 = 4,200/60

Y = 4,200/60

Y = 70

Therefore, the other factor is 70

Erika is baking cupcakes. The recipe calls for 14 cups of
sugar for the batter, and for the frosting. About how
many total cups of sugar will Erika need for her recipe?

Answers

Answer:

20

Step-by-step explanation:

Answer:

she will use about 28 cups of sugar

Step-by-step explanation:

14*2=28

Carrie has 11 more glass animals than Naomi, who has g animals.
Evaluate the expression g + 11 for g = 4 to find how many glass animals Carrie has.

Answers

Carrie has 15 glass animals, work is shown here.

Please help me with this math problem if you can. You just say yes or no if it’s a square, rectangle, etc. and then give the reason why

Answers

Answer:

rectangle because the diagnals are congruent

Step-by-step explanation:

20+64 distributive property

Answers

Wouldn't it still just be 84 with or without the distributive property? :0

2(5+5)+2(16+16)

Step-by-step explanation:

lol and ignorw this wifnsnsjwjs

How would I find 86% of 950?

Answers

Answer:

86% of 950 is 817

Step-by-step explanation:

You convert the fraction into a decimal by moving the point two spaces to the left. You then multiply .87 by 950 to get 817

Which is the correct algebraic expression for each phrase?
(Image)

Please answer ASAP!

Answers

Answer:

10. G. d - 15

11. D. d ÷ 2

12. F. 2.5p

Hope that helps.

Find the median age of a group of 8 people whose ages
in a years are as follow:
47, 61, 13, 34,56, 22,30,20​

Answers

Answer:

32

Step-by-step explanation:

since the question has an even number of age groups, we have to find the two middle numbers which are 30 and 34, add them together and then divide that answer by 2

30 + 34 = 64

64 ÷ 2 = 32

Which object covers less area?

Object A: a parallelogram with a base of 3 cm and a height of 9 cm.

Object B: a parallelogram with a base of 5 cm and a height of 6 cm.

Answers

Object A. You can use the area theorem to solve. Just do base x height to get the area of a shape.

Answer:

give him brain

Step-by-step explanation:

hi hi hi hi hi

Question in image. The bottom number is what you’re writing in terms of.

Answers

9514 1404 393

Answer:

  log₃(7) -2·log₃(5)

Step-by-step explanation:

The applicable rules of logarithms are ...

  log(a/b) = log(a) -log(b)

  log(a^b) = b·log(a)

__

You have ...

  [tex]\log_3\dfrac{7}{25}=\log_3{7}-\log_3{25}=\log_3{7}-\log_3{5^2}\\\\=\boxed{\log_3{7}-2\log_3{5}}[/tex]

find the equation of the line passing through point (3,5) and with slope = 1/3

a) y=1/3x+4
b) y=-1/3x+4
c) y=3x-5
d) y=1/3x+5

Answers

Answer:

A. y = 1/3 x + 4

Step-by-step explanation:

The standard form of equation of a line in point slope form is expresses as

y - y0 = m(x-x0)

m is the slope

(x0, y0) is a point  on the line

Given

m = 1/3

(x0, y0) = (3, 5)

Substitute into the equation

y - 5 = 1/3 (x-3)

3(y-5) - x-3

3y - 15 = x-3

3y = x-3+15

3y = x+12

y = 1/2 x + 12/2

y = 1/3 x + 4

Hence the require equation of the line is y = 1/3 x + 4

The function below represents the cost to rent x movies a month from an internet movie club. Mickey now has $10.00
How much more does Mickey meed to rent seven movies next month?
fx-2x + 12

Answers

Answer : Makayla need $16




A shop has a 15% sale. Originally a computer cost £275. How much does the computer cost in the sale?

Answers

Answer:

41.25?

Step-by-step explanation:

5%=13.75

10%=27.5

15%=41.25

Help meeeeee. Ksjsjsjs:(

Answers

Answer:

a rule to know: a median divides the side into equal parts.

we know:

PR = -2a + 34

SR = 2a + 26

- based on the rule, SR is half of PR. in other words, PR is two times greater than SR.

so,

2SR = PR (now simply pluggin the expressions we have)

2(2a + 26) = -2a + 34 (solve the equation like any other equation prob.)

4a + 52 = -2a + 34

6a + 52 = 34

6a = -18

a = -3

- inorder to check if this is correct, simply reverse what we did. so pluggin the value of a to see if its correct.

Michael had $150 in the bank yesterday. Then, Michael bought an expensive designer jacket for $180, but
didn't realize that he overdrew from his bank. His account balance was negative now and he was in debt!
What is the absolute value of his new account balance?

Answers

Answer:

he now owes $30 so negative $30

Step-by-step explanation:

If 2x – 2.12 = 9.88, what is the value of x? I need step-by-steps

Answers

2x - 2.12 = 9.88

Add 2.12 to both sides.

2x = 12

Divide both sides by 2.

x = 6

Answer:

x=6

Step-by-step explanation

2x-2.12=9.88

   +2.12  +2.12

    2x  =   12

12 divided by 2 is 6

x=6

To check you can do 12-2.12=9.88

Hurryyyz
Solve the following equations
2. 35 = 2x + 5
3. 4x - 7 = 73

Answers

part one of this would be x=6;

2x6 is 30

30+5 is 35

part two of this would be x=20;

20x4 is 80

80-7 is 73

Answer:

x = 15 and x = 20

Step-by-step explanation:

(2)

35 = 2x + 5 ( subtract 5 from both sides )

30 = 2x ( divide both sides by 2 )

15 = x

(3)

4x - 7 = 73 ( add 7 to both sides )

4x = 80 ( divide both sides by 4 )

x = 20

Desiree writes songs for her band her first song is 3 1/2 minutes long her second song is one 1/2 times as long as her first song her third song is 2/3 times as long as her second song how many minutes long are the second and third songs

Answers

Answer:Number of minutes of second  Song = 5 1/4 minutes

Number of minutes of third   Song =3 1/2  minutes

Step-by-step explanation:

Number of minutes of First Song = 3 1/2 minutes

Number of minutes of second  Song = one 1/2 times as long as her first

= 1 1/2 X 3 1/2 minutes

3/2 X 7/2

21/4 = 5 1/4 minutes

Number of minutes of third   Song = 2/3 times as long as her second song

2/ 3 x 5 1/4

= 2/3 x 21/4 =42/12

Dividing the numerator and denominator by 3 to reduce the fraction

42/ 12 / 3/3 = 14/4

14/4 = 3 2/4 = 3 1/2  minutes

(NEED DONE QUICKLY) If the domain of a coordinate transformation that is reflected over the y-axis is (-6, 2), (4, 5), (2, -1), what is the range?

Answers

Answer:

Step-by-step explanation:

Remark 1

If you are using a mirror on the y axis, then only the x value is changed. The y value remains the same.

For (-6,2), -6 changes into plus 6

The new point is (6,2)

For (4,5), 4 changes to minus 4

The new point is (-4,5)

For (2,-1) the new point is (-2,-1)

Remark 2

But none of those are the answer you want. What you want is what happens to the y value? The answer is it remains the same. The y value is the range. So the answer goes from (-1 to 5) just as it did before.


If a triangle has two angles that measure 25 degrees each, what must be the measure of the
third angle?

Answers

Answer:

Step-by-step explanation:

Add up the two known angle measurements. All you have to know is that all of the angles in a triangle always add up to 180°. This is true 100% of the time. So, if you know two of the three measurements of the triangle, then you're only missing one piece of the puzzle. The first thing you can do is add up the angle measurements you know. In this example, the two angle measurements you know ...

Subtract this number from 180°. The angles in a triangle add up to 180°. Therefore, the remaining an…

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The yearbook club had a meeting. The club has 30 people and three fifths of the club showed up for the meeting how many went to the meeting

Answers

Answer:

there are 45 people in the group

2/3xA=30

2A=30x3

A=90/2

A=45

We know 15 is equal to 1/3 of the value we want to know so the equation where the total number of members equals looks like this 1/3*x. Now divide both sides by 1/3 which equals 15/ (1/3). Dividing by 1/3 is equal to multiplying by 3 so 15 times 3 is 45. So the answer is 45
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