What is the recursive rule for the sequence?

−2.7, −8.3, −13.9, −19.5, −25.1




an=an+1+5.6, where a1=−2.7

an=an+1−5.6, where a1=−2.7

an=an−1+5.6, where a1=−2.7

an=an−1−5.6, where a1=−2.7

What Is The Recursive Rule For The Sequence?2.7, 8.3, 13.9, 19.5, 25.1an=an+1+5.6, Where A1=2.7an=an+15.6,

Answers

Answer 1

Answer:

[tex]a_{n} =a_{n-1} -5.6[/tex] where [tex]a_{1} =-2.7[/tex]

Step-by-step explanation:

This is an arithmetic sequence with the first term is [tex]a_{1}[/tex] = -2.7 and has a common difference of [tex]d=-5.6[/tex].

Arithmetic Sequence: [tex]a_{n} =a_{n-1} +d[/tex]

[tex]a_{n}[/tex] is the nth term and [tex]d[/tex] is the common difference.

The common difference: -2.7, -8.3, -13.9...

Subtract: -2.7- (-8.3) = -5.6, -13.9 - (-8.3) = -5.6

Common difference: [tex]d = -5.6[/tex]

Recursive rule: [tex]a_{n} = a_{n-1} -5.6[/tex]


Related Questions

the sum of the two fractions is 9/26. if one of the fraction is 1/13, find the other​

Answers

Answer:

7/26

Step-by-step explanation:

let the other fraction be x

according to the question,

1/13 +x =9/26

x = 9/26 - 1/13

take lcm of the denominator . lcm=26

x = 9*1 - 1*2/26

x = 9-2/26

x=7/26

A warehouse has a height of 8\frac{1}{2}8 2 1 ​ meters, length of 120120 meters, and width of 20\frac{3}{10}20 10 3 ​ meters. What is the volume of the warehouse?

Answers

Answer: [tex]20,706\ m^3[/tex]

Step-by-step explanation:

Given

The warehouse has the following dimension

Height is [tex]h=8\frac{1}{2}\ m[/tex]

[tex]h=\dfrac{17}{2}\ m[/tex]

Length is [tex]l=120\ m[/tex]

Width is [tex]w=20\frac{3}{10}\ m[/tex]

[tex]w=\dfrac{203}{10}\ m[/tex]

Volume of the warehouse is the product of height, length and width

[tex]\Rightarrow V=h\times l\times w\\\\\Rightarrow V=\dfrac{17}{2}\times 120\times \dfrac{203}{10}\\\\\Rightarrow V=20,706\ m^3[/tex]

Therefore, the length of the warehouse is [tex]20,706\ m^3[/tex].

I need help:)
please ​

Answers

Answer:

it's 5

Step-by-step explanation:

Answer:

r = 5

Step-by-step explanation:

if x and y are proportional then 'y = rx' where 'r' is the constant of proportionality

35 = 7r

60 = 15r

100 = 20r

'r' is 5

25x + 22x + 9 = 180.......

Answers

[tex]\sf\purple{The\:value\:of\:x\:is\:3.638.}[/tex] ✅

Step-by-step explanation:-

[tex]25x + 22x + 9 = 180 \\ ⇢ 47x = 180 - 9 \\ ⇢ 47x = 171 \\ ⇢ x = \frac{171}{47} \\ ⇢ x = 3.638[/tex]

To verify:-

[tex]25 \times 3.638 + 22 \times 3.638 + 9 = 180 \\ ⇢ 90.95 + 80.036 + 9 = 180 \\ ⇢ 180 = 180 \\ ⇢ L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

At Applebees, the average diner tips the waiter 20% of their total bill. Finn's bill was $66.50. How much money should Finn tip the waiter?

Answers

Answer:

56

Step-by-step explanation:

Answer:

13.3 US$

Step-by-step explanation:

How to find it

Written using the formula: x = 66.50 ÷ 20%

Convert the percent to a decimal.

20% ÷ 100 = 0.2.

X = 66.50 ÷ 0.2.

So 20% of 66.60 is 13.3.

100 Points
Solve x^2 -6x=-5 by completing the square. Show all work for the steps below. (a) For x^2 -6x+c+-5+c, what value of c is used to complete the square? (b) Substitute the value for c in Part 2(a). Then complete the square to rewrite the equation as the square of a binomial. (c) Solve for x.

Answers

Answer

-2c+5/6

hope it helps

Jeff had 5 apples but ate 2 Kyle had 3 apples but ate 1 kelsea has 8 apples but ate 4

Answers

Answer:

jeff has 3 apples left. kyle has 2 apples left. kelsea had 4 apples left.

Step-by-step explanation:

5-2=3

3-1=2

8-4=4

Answer:

jeff 3 apples, kyle 2 apples, kelsea 4 apples

total apples left = 9 apples

total apples eaten = 7 apples

total apples = 16 apples

Step-by-step explanation:

What is the area of the square above

A. 44 square centimeters

B.88 square centimeters

C.121 square centimeters

D.242 square centimeters

Answers

Step-by-step explanation:

A 44 square cantimeters

The answer is A square centimeters

Can someone please help with this ? Thanks

Answers

I think the answer is “16”

PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!

Answers

Answer:

[tex]so \: area = \pi \times {r}^{2} \\ = \pi \times {3}^{2} \\ = 9\pi \: {units}^{2} [/tex]

If X = 4 units, Y = 10 units, and h = 9 units, what is the area of the trapezoid shown above?

Answers

Step-by-step explanation:

hope the picture above help u to understand:)

2. Alin ang mas mabigat, isang kilong pako o isang libong
gramo ng bigas?

Answers

Answer:

Isang Kilong Pako

Step-by-step explanation:

Ang pako po ay metal at ang bigas po ay grain lang kung ikukumpara mo sa isang butil ng bigas at pako, diba pako po ang mas mabigat, kung isang kilo pa po ehh mas mabigat na po iyon kaysa sa bigas.

Thank you Please mark as Brainliest :>

In a carnival game, players get 5 chances to throw a basketball through a hoop. If 7 out of 20 players made all 5 baskets, how many players out of 400 would you expect to make all 5 baskets?

Answers

Answer:  140

=====================================================

Work Shown:

7/20 = 0.35 = 35% of the 20 players made all five baskets.

If this trend holds up, then we should expect 35% of the 400 people to make all five baskets.

35% of 400 = 0.35*400 = 140

We expect about 140 people will make all five baskets.

Note how 140/400 = 0.35 = 35%

-------------

Through another alternative method, we can solve like this

7/20 = x/400

7*400 = 20*x ... cross multiply

2800 = 20x

20x = 2800

x = 2800/20 ... dividing both sides by 20

x = 140 which is the same result as before

140

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a class has a ratio of boys and girls that is 6:5. if there are 15 girls in the class how many total children are in there class

Answers

Answer:

33

Step-by-step explanation:

Trust me it'll work.


A glass is 1/3 full then 40cm3 of orange juice is poured in the glass is now 5/7 full what is the total volume of the glass

Answers

Answer:

1/3 x + 40 = 5/7 x

7x +(21)(40) = 15x

21*40 = 8x

x = 105cm3

Step-by-step explanation:

Judging by appearance, classify the figure in as many ways as possible.

Answers

Answer:

A. Quadrilateral, kite

A fruit basket contains 11 red apples and 7 green apples. What is the ratio of the number of red apples to the number of green apples

Answers

The ratio is 11 : 7. I.e the number of red apples are 11 and that of green are 7

Answer:

11:7 or 11/7

Step-by-step explanation:

Since your asking for the ratio 11 goes first as the problom states red apples to green apples and there are 7 green apples so the corect answer is 11:7

If c is the number of cats, which variable expression represents the phrase
below?
The sum of the number of cats and 15 dogs
A. c•15
B. C+15
C. C-15
D.C/15

Answers

B C+15 because Sum means adding
It’s B I had the same question and got it right

What is the answer to this

Answers

umm I don't know hehe oops

Answer:

Length of old board = 68.2cm

Step-by-step explanation:

Let old board length be x

Given new board is 120 % longer than old board = x + 120% of x

Length of new board = 150cm

Therefore,

x + 120% of x = 150

[tex]x + \frac{120}{100} x = 150\\\\x + 1.20x = 150\\\\2.2x = 150 \\\\x = 68.18 = 68.2cm[/tex]

Explain how geographic factors impacted the early river valley civilization.

Answers

Following are the Geographical factors impacted the development of early river valley civilizations:

Ample water resources help them to feed, bath, wash and to do so many domestication works.

River valley means fertile plains, which is so good for agriculture as they can grow lots of different varieties of crops. They didn't have to be depend upon rain.

It helped in transportation, which were used for trading and movement from one place to another.

It protects them from enemy as at a time so many person can't attack over the residing civilization.
The most obvious way is that places with fertile soil and predictable water supplies had an advantage for growing crops, so they could support larger human populations. Many of the first civilizations were in river valleys because of this.

An office manager buys 34 chairs for the new office. Each chair cost $205. What is the total amount the office manager pays for chairs?

Answers

Multiply the number of chairs by the price of the chair:

34 x 205 = 6,970

Total spent = $6,970

Factorize x²+7x+10. Show working please

Answers

Answer:

(x + 2)(x + 5)

Step-by-step explanation:

Given

x² + 7x + 10

Consider the factors of the constant term (+ 10) which sum to give the coefficient of the x- term (+ 7)

The factors are + 2 and + 5 , since

5 × 2 = + 10 and 2 + 5 = + 7 , then

x² + 7x + 10 = (x + 2)(x + 5) ← in factored form

Em uma competição esportiva uma equipe ganhou 80 medalhas sendo que 25% de ouro 35% de prata e o restante de blusa e qual o número de medalhas de bronze que essa equipe ganhou

Answers

Answer:

32 medals

Step-by-step explanation:

Given that

The team wons 80 medals

out of which 25% is gold

35% is silver

and rest is bronze

we need to find out the number of bronze medals that win by the team

The total percentage is 100

So, the remaining percentage is

= 100 - 25 - 35

= 40%

So, the number of bronze medal should be

= 40% of 80 medals

= 32 medals

please help explain it step by step​

Answers

Answer:

452 m

Step-by-step explanation:

Find the arc length and show work!
- Marking brainliest

Answers

Answer:

87.965 in.

Step-by-step explanation:

1) the formula of full arc is L=2π*r, the formula of the required 7π/4 is:

L=7π/4 *r;

2) according to the formula above:

L=7π*16/4=28π≈87,964594300514210676954014731826 (in).

what's the answer? will give brainliest​

Answers

Answer:

It's 1,3

Step-by-step explanation:

Coordinate plane and x is 1 and y is 3

Answer:

(1,3)

Step-by-step explanation:

The spot where both lines intersect is the solution to the system of equations.

Hope that this helps!

A tiny area on a computer chip measures 2.3*10^-3 mm by 1.7*10^-4 mm. About how many times longer is the longer dimension than the shorter dimension? A. 1.35 B. 6 C. 7.4 D. 13.5

Answers

The answer should be C i think.

5
4.)What function rule models the values in the table?
Х
4
8
12

16
Y
4.
8
12
16
20
a.) Y = -x + 4
b.)Y = x + 4
c.) Y = 4x + 4

Answers

Answer: 8

Step-by-step explanation: 4x4=0

Find the sum. Express your answer in simplest form. 9a^2-5/b^2+2 + -2a^2+4/b^2+2

Answers

Answer:

Step-by-step explanation:

[tex]\frac{9a^{2}-5}{b^{2}+2}+\frac{-2a^{2}+4}{b^{2}+2}=\frac{9a^{2}-5-2a^{2}+4}{b^{2}+2}\\\\=\frac{9a^{2}-2a^{2}-5+2}{b^{2}+2}\\\\=\frac{7a^{2}-3}{b^{2}+2}[/tex]

En el autoservicio del barrio reciben al proveedor de gaseosas cada 8 dias,al de lacteos cada 3 dias y al de galletitas cada 12 dias . El 5 de abril fueron los 3. A¿Cuantos dias pasaran para qie se encuentren nuevamente?

Answers

Respuesta:

24 días

Explicación paso a paso:

Para calcular el día en que se volverán a reunir después del 5 de abril; tomamos el mínimo común múltiplo de la cantidad de días de cada visita:

Por lo tanto, tomamos el mínimo común múltiplo de 8, 3 y 12.

Múltiple de:

8: 8, 16, 24, 32, 40, 48

3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30

12:12, 24, 36, 48, 60

El mínimo común múltiplo es 24;

Todos se volverán a encontrar después de 24 días.

5 de abril + 24 días = 29 de abril

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