Write a recursive formula for the sequence 9, 6, 3, 0, … Then find the next term.

Answers

Answer 1

Answer:

f[1] = 9; f[n] = f[n-1] -3-3

Step-by-step explanation:

The first term is 9, so f[1] = 9.

Each term is 3 less than the one before, so f[n] = f[n-1] -3.

Three less than the last term shown is ...

  0 -3 = -3

__

The recursive formula is ...

f[1] = 9f[n] = f[n-1] -3

The next term is -3.


Related Questions

THIS IS ALGEBRA 1 PLEASE HELP IM IN MIDDLE SCHOOL

Answers

Answer:

1.80 + 3.72 (0.25 x b) = 13.02

Step-by-step explanation:

First, combine the "one-time" costs (the medium pendant and the medium chain)

1.80 + 3.72 = 5.52

Now, multiply the cost of the beads by the amount of beads you want

0.25 x 30 = 7.50

Now combine both costs to get the total cost

5.52 + 7.50 = 13.02

It would cost Tamara $13.02 to make a medium length necklace

The ratio between the ages of Amar and Kabir is 3:4 at present.after 4 years ago their ages would be 7:9.ratio of ages of Kabir and amar after 20 years from now?​

Answers

Answer:

[tex]Ratio = 11:13[/tex]

Step-by-step explanation:

Represent Amar age with x

Represent Kabir age with y

So, we have:

Presently

[tex]x : y = 3 : 4[/tex]

After 4 years

[tex]x + 4 : y + 4 = 7 : 9[/tex]

Simplify both ratios:

[tex]x : y = 3 : 4[/tex]

[tex]\frac{x}{y} = \frac{3}{4}[/tex]

Cross Multiply

[tex]4x = 3y[/tex]

Make x the subject

[tex]x = \frac{3}{4}y[/tex]

[tex]x + 4 : y + 4 = 7 : 9[/tex]

[tex]\frac{x + 4}{y + 4} = \frac{7}{9}[/tex]

Cross Multiply

[tex]7(y+4) = 9(x+4)[/tex]

Open Brackets

[tex]7y + 28 = 9x + 36[/tex]

Collect Like Terms

[tex]9x = 7y + 28 - 36[/tex]

[tex]9x = 7y -8[/tex]

Substitute [tex]\frac{3}{4}y[/tex] for x in [tex]9x = 7y -8[/tex]

[tex]9(\frac{3}{4}y) = 7y - 8[/tex]

[tex]\frac{27}{4}y = 7y - 8[/tex]

[tex]6.75y = 7y - 8[/tex]

[tex]6.75y - 7y = - 8[/tex]

[tex]-0.25y = - 8[/tex]

[tex]y = -8/-0.25[/tex]

[tex]y = 32[/tex]

Substitute 32 for y in [tex]x = \frac{3}{4}y[/tex]

[tex]x = \frac{3}{4} * 32[/tex]

[tex]x = \frac{3* 32}{4}[/tex]

[tex]x = \frac{96}{4}[/tex]

[tex]x = 24[/tex]

So, in 20 years time, the ratio of the ages would be:

[tex]x + 20 : y + 20[/tex]

This gives

[tex]24 + 20 : 32 + 20[/tex]

[tex]44 : 52[/tex]

Divide by 4

[tex]44/4:52/4[/tex]

[tex]11:13[/tex]

Hence, the Ratio is

[tex]Ratio = 11:13[/tex]

who wants my girl? if yes put it down​

Answers

Answer:

Already stole herrrrrr ahahah

Step-by-step explanation:

Answer:

nah good luck tho hahaha

Quadrilateral ARMY is rotated 90° about the origin.

Answers

Answer:

what's the question??

what is 276,485 rounded to the nearest hundred thousand?plzzzzzz answer

Answers

Answer:

300,000

Step-by-step explanation:

The answer is 300,000
The reason behind this is because a number that is 5 and above should be rounded up and anything 4 and below should be rounded down

On a map,1/2 inch represents 50 miles. how many miles per inch are represented on the map? PLEASE HELP! My teacher will kill me!

Answers

Answer:

WEll first show the MAP. Then I will help.

Step-by-step explanation:

Answer:

100 miles

Step-by-step explanation:

Half an inch is.. half of an inch. If you want to find out how many miles per inch there are, multiply the amount of miles for every half inch (50) by 2.

I am really confused by this task..please help

Answers

Answer:

22

Step-by-step explanation:

DELILAH HAS OF A CUP OF SPRINKLES THAT SHE
PLANS TO DECORATE CUPCAKES WITH. IF EACH CUPCAKE
SETS T OF A CUP OF SPRINKLES, HOW MANY
CUPCAKES WILL SHE BE ABLE TO DECORATE?

Answers

Answer:

2.9 cupcakes

Step-by-step explanation:

rate and hit that thanks button

happy halloween

What is the maximum of the numbers listed below?
5.2, 5.4, 4.9, 4.4, 5.1

Answers

Answer:

5.4

Step-by-step explanation:

5.2, 5.4, 4.9, 4.4, 5.1

4.4, 4.9, 5.1, 5.2, 5.4

5.4 is the maximum

Hope this helped!

The answer is 5.4. Lowest is 4.4

What is the slope of a line perpendicular to the line y=12/5x+4

Answers

Answer:

x = -5/3

Step-by-step explanation:

100,699 rounded to the nearest thousand

Answers

Answer:

I believe it would be 101,000

Step-by-step explanation:

It would be 101,000 because 6 is closer to the next #

3. What is the slope of a line perpendicular to the line y =-2/3
x+12

Answers

Answer:

Slope of line (i) = 1.5

Step-by-step explanation:

Line (i) is perpendicular to;Line (ii) whose equation is y = [tex]-\frac{2}{3} x + 12[/tex]

The slope of line (ii) = [tex]-\frac{2}{3}[/tex]

* Mathematics rule: The product of slopes of two perpendicular lines = -1

∴ The slope of line (i) = -1 ÷ [tex]-\frac{2}{3}[/tex] = 3/2 = 1.5

Katherine is a waitress at a restaurant. Each day she works, Katherine will make a
guaranteed wage of $20, however the additional amount that Katherine earns from
tips depends on the number of tables she waits on that day. From past experience,
Katherine noticed that she will get about $7 in tips for each table she waits on. How
much would Katherine expect to earn in a day on which she waits on 11 tables? How
much would Katherine expect to make in a day when waiting on t tables?
Earnings for 11 tables:
Earnings for t tables:





What is the earings for t tables?

Answers

Answer:

$97

Step-by-step explanation:

She makes $97 for 11 tables. The equation is 7t+20. Hope this helped :)

what is the answer? pls help

Answers

Answer:

-2

Step-by-step explanation:

The formula for finding the slope is y2-y1 divided by x2-x1. You can use any two points.

So,

220-240 divided by 10-0= -20/10= -2

Hope this helps!!!

can you solve this for me please ​

Answers

Answer:

the first one

Step-by-step explanation:

ive done this before

Answer:

Step-by-step explanation:

i got no idea

help me plz i dont get it​

Answers

Answer:

A

Step-by-step explanation:

my apoligies

Answer:

It should be A because 4 is begin multiplied by a  factor of three is every hour

Which problem can be represented by the model?

Help

Answers

By using the principles of fractions, we can find out that the models represent the problem 3/4 × 3.

Define fractions?

A number that represents a percentage of a whole serves as the mathematical representation of a fraction. Fractions can be thought of as any number, any amount, or a portion of an object.

A pizza that has been cut into eight equal pieces. The notation 1/8, which denotes that we are speaking of one portion out of 8 equally sized portions, can be used to refer to a single portion of the pizza.

It indicates one equal part in eight. Furthermore, it can be written as: 1/8

It will be written as 2/8 if we choose to have 2 portions of the pizza. Similar to how we would write 6/8 as a fraction if we were referring to 6 portions of this pizza.

Now here in the question, 3 parts are selected out of 4.

So that suggests it is 3/4.

As there are 3 circular models, so the representation will be as:

3/4 × 3.

To know more about fractions, visit:

https://brainly.com/question/10354322

#SPJ1

the diagonals of a rhombus are in the ratio 3 :4 if the longer diagonals is of 12 cm then find the area of rhombus.​

Answers

Answer:

Area= 54 cm^2

Step-by-step explanation:

Recall that a rhombus is given by the product of its two diagonals (d1 and d2) divided by 2.

Area = d1 * d2 / 2

So in our case, the longer diagonal is 12 cm long, and the shortest one should be in the ratio 3:4, therefore:

3 /4 = d2 / d1

3 / 4 = d2 / 12

d2 = 3 * 12 /4

d2 = 3 * 3

d2 = 9 cm

Then we can now calculate the Area of the rhombus as;

Area = d1 * d2 / 2 = 12 * 9 / 2 = 54 cm^2

2p+22q2-p someone help please

Answers

Answer:

2p+22q2-p = 22q^2+p

Answer:

22q2+p

Step-by-step explanation:

simplify step-by-step.

2p+22q2−p

=2p+22q2+−p

Combine Like Terms:

=2p+22q2+−p

=(22q2)+(2p+−p)

=22q2+p

Answer:

=22q2+p

What is the slope of this line that contains these points: (-4, -6) and (2,6)?​

Answers

Answer:

The slope is 2

Step-by-step explanation:

y1-y2 .      6--6

---------      ------       =2

x1-x2 .      2--4

Round 3,689,423 to the nearest hundred thousand.

Answers

Answer:

your answer would be 3,700,000

Step-by-step explanation:

hope it helps

Find the volume in cm3 of a length of pipe which has these measurements
Volume of cylinder=TTr2h
TT = 3.14

Answers

Answer:

√3.14,-√3.14

Step-by-step explanation:

Round 43.586 to the nearest tenth. Pleaseee help ASAP

Answers

Answer:

43.6

Step-by-step explanation:

I hope this helps you :)

Answer:

43.59

Step-by-step explanation:

43.59 because it is

Find the lcm of 2,3,7 and tell me how u got ur answer
if its CORRECT with ur reasoning ill give brainlest

Answers

Answer:

42

Step-by-step explanation:

The solution for the equation 1,057=b+670 is

Answers

Answer:

b = 387

Step-by-step explanation:

1057 - 670 = 387

First isolate B by putting the 670 to the other side of the equal sign. However, in order for the equation to remain equal, you must subtract 670 from both sides.

1057 - 670 = B + 670 - 670

387 = B

Please help i will give brainliest

Answers

Answer:

Slope= -4

Y-intercept= 50

Y=-4x+50

PLZ HELP REALLY FAST

Answers

That would be 25,000

Maurice worked 15 hours last week at his job and made $150. If Maurice worked 25 hours this week, how much did he make?

Answers

Answer:

Step-by-step explanation:

When Maurice works 15hrs, he makes $150.

So first you have to find out how much money he makes each hour.

To do this you do :

Money earnt divided by hour many hours he worked.

Money made per hour = [tex]\frac{150}{15}[/tex]  = $10

So since Maurice makes $10 every hour,

If her works 25 hours, it will be $10 x 25 = ?

Solve for x in the equation.

Answers

Answer:

The solution is [tex]\displaystyle x=1\pm \sqrt{47}[/tex]. Fourth option

Explanation:

Solve for x:

[tex]2x^2+3x-7=x^2+5x+39[/tex]

Move all the terms from the right to the left side of the equation, a zero in the right side:

[tex]2x^2+3x-7-x^2-5x-39=0[/tex]

Join all like terms:

[tex]x^2-2x-46=0[/tex]

The general form of the quadratic equation is:

[tex]ax^2+bx+c=0[/tex]

Solve the quadratic equation by using the formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

In our equation: a=1, b=-2, c=-46

Substituting into the formula:

[tex]\displaystyle x=\frac{-(-2)\pm \sqrt{(-2)^2-4(1)(-46)}}{2(1)}[/tex]

[tex]\displaystyle x=\frac{2\pm \sqrt{4+184}}{2}[/tex]

[tex]\displaystyle x=\frac{2\pm \sqrt{188}}{2}[/tex]

Since 188=4*47

[tex]\displaystyle x=\frac{2\pm \sqrt{4*47}}{2}[/tex]

Take the square root of 4:

[tex]\displaystyle x=\frac{2\pm 2\sqrt{47}}{2}[/tex]

Divide by 2:

[tex]\displaystyle x=1\pm \sqrt{47}[/tex]

First option: Incorrect. The answer does not match

Second option: Incorrect. The answer does not match

Third option: Incorrect. The answer does not match

Fourth option: Correct. The answer matches exactly this option

What is the value of the expression below when z = 10 and w = 7
10z + 9w

Answers

Answer:

163

Step-by-step explanation:

10(10)+9(7)=

100+63=163

Answer:

163

Step-by-step explanation:

If z=10 and w=7.

10z+9w [writing the equation again for reference purposes]

10(10) + 9(7) [we substitute each variable with its defined value]

100 + 9(7) [we multiply 10 and 10, aka 10 and z]

100 + 63 [we multiple 9 and 7, aka 9 and w]

163 [we add 100 and 63 to get our final answer]

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