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Answer:

  solve for f(n) in terms of f(n-1)

Step-by-step explanation:

In general, you solve for f(n) in terms of f(n-k) for k = 1, 2, 3, ....

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Usually, such questions arise in the context of arithmetic or geometric sequences.

Arithmetic sequence

The explicit formula for an arithmetic sequence has the general form ...

  a(n) = a(1) +d(n -1) . . . . . . . first term a(1); common difference d

The recursive formula for the same arithmetic sequence will look like ...

  a(1) = a(1) . . . . . . . the first term is the first term

  a(n) = a(n-1) +d . . . the successive terms are found by adding the common difference to the term before

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Note: The explicit formula may be given as the linear equation a(n) = dn +b. Then the first term is a(1) = d+b.

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Geometric sequence

The explicit formula of a geometric sequence has the general form ...

  a(n) = a(1)·r^(n -1) . . . . . . first term a(1); common ratio r

The recursive formula for the same geometric sequence will be ...

  a(1) = a(1) . . . . . . the first term is the first term

  a(n) = a(n-1)·r . . . the successive terms are found by multiplying the term before by the common ratio

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Note: The explicit formula may be given as the exponential equation a(n) = k·r^n. Then the first term is a(1) = kr.

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Other sequences

Suppose you're given the quadratic sequence ...

  a(n) = pn^2 +qn +r

Since the sequence is known to be quadratic (polynomial degree 2), we expect that we will only need the two previous terms a(n-1) and a(n-2). Effectively, we want to solve ...

  a(n) = c·a(n-1) +d·a(n-2) +e

for the values c, d, and e. Doing that, we find ...

  (c, d, e) = (2, -1, 2p)

So, the recursive relation is ...

  a(1) = p +q +r

  a(2) = 4p +2q +r

  a(n) = 2a(n-1) -a(n-2) +2p

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Additional comment

The basic idea is to write the expression for a(n) in terms of terms a(n-1), a(n-2) and so on. That will be easier for polynomial sequences than for sequences of arbitrary form.

There are some known translations between explicit and recursive formulas for different kinds of sequences, as we have shown above. If you recognize the sequence you have as being of a form with a known translation, then you would make use of that known translation. (For example, Fibonacci-like sequences are originally defined as recursive, but have explicit formulas of a somewhat complicated nature. If you recognize the form, translation from the explicit formula may be easy. If you must derive the recursive relation from the explicit formula, you may be in for a lot of work.)

Answer:

c: 8x↑4-2/3x↑2-2/3x

Step-by-step explanation:

eight x to the fourth power minus two-thirds x to the second power minus two-thirds x

its c on the edge

Answer:

c

Step-by-step explanation:

Answer:

it is 24

Step-by-step explanation:

i did andn i got 1000

Answer:

A.) 3/4

Step-by-step explanation:

You can find this by dividing the distance from point Z to point Y by the distance of point X to point Y. The distance from Z to Y is 6 and the distance from X to Y is 8, so that means that the slope is 6/8, which simplifies to 3/4.

Answer:

it is x3

Step-by-step explanation:

there you go

Answer:

5

Step-by-step explanation:

Answer:

Your answer is A.

Answer:

hv iub;k

Step-by-step explanation:

hg bjlh lj

Answer:

B) I think

Step-by-step explanation:

Answer:

Step-by-step explanation:

x° + y° = 180°        {suplementary angles}

x° = 3y°               {corresponding angles by parallel lines}

So:

3y° + y° = 180°

4y° = 180°

y° = 45°

y = 45

x° = 3×45° = 135°

x = 135

Answer:

First time sending a shipment to Amazon Warehouse here.

I have a question in regards to filling information for my inventory.

I have a total of 20 BOXES ready to be sent. Each individual -BOX- contains 8 smaLL boxes inside. Each smaLL box contains 6 units.

Also, I should specify I’m sending 4 colors, same item. 4 -BOX- red, 4 -BOX- blue, 6 -BOX- steel, 6 -BOX- black. ( 20 BOXES total)

Would you fill it this way:

Review Shipment Contents:

Units Per Case — Number of Cases — Shipped

RED 48 — 4 — 192

BLUE 48 — 4 — 192

STEEL 48 — 6 — 288

BLACK 48 — 6 — 288

                                               ---TOTAL UNITS = 960  

Shipping Service

SHIPMENT PACKING

ONE SKU PER BOX

SELECT PACK LIST FORMAT

File format Total # of boxes

20 ???

I’m counting Units Per Case as the total number of units in a BOX. And Number of Cases as the number of BOXES. Is this Right?

My confusion is differentiating BOXES and CASES.

I was also thinking about counting Each smaLL box as a Case (Units per Case =6 units) and Number of Cases would be “32”; 4 BOXES of one color , 32 CASES total.

I might be over complicating myself but really need your help on this one so I send the right information to Amazon.

Answer:

275=27x+5

Step-by-step explanation:

10 people can go to the park

27(10)+5=275

Answer:

=−28

Step-by-step explanation:

Answer:

C (x)

Step-by-step explanation:

The Vertex of an angle is the point at which the angle is located on, so in this case the vertex is X.

Answer:

The cost of a combo meal is $8 and a salad is $4.

Step-by-step explanation:

You have to form simultaneous equations with the given informations. Let combo meal be m and salad is s :

[tex]m + s = 12 - - - (1)[/tex]

[tex]2m + s = 20 - - - (2)[/tex]

Next, you have to solve these equations :

[tex](2) - (1)[/tex]

[tex]2m + s - m - s = 20 - 12[/tex]

[tex]m = 8[/tex]

[tex]sub \: \: m = 8 \: \: into \: \: (1)[/tex]

[tex](1)⇒[/tex]

[tex]8 + s = 12[/tex]

[tex]s = 4[/tex]

Answer: 8$,4$

Step-by-step explanation:

Answer:

Slope = 0.75

Step-by-step explanation:

Slope is coefficient of x

Answer:

448

Step-by-step explanation:

Parallelograms = 2x14x10=280

Triangles = 3x1/2x8x14=168

280+168=448

After solving the equation, the smaller piece length of the rope will be 30 meters.

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the data provided in the given question,

3x+20+x = 140

4x+20 = 140

4x = 120

x = 30 meters

The smaller piece of the rope is of 30 meters.

To know more about an equation:

https://brainly.com/question/10413253

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Answer:

3 hours

Step-by-step explanation:

50+12h=86

-50 on both sides

12h=36

divide by 12 on both sides

h=3

Answer:

3 hours

Step-by-step explanation:

50 + 12h = 86

12h = 36

h = 3

Answer:

liar is 10

Step-by-step explanation:

Answer:

J. [tex]x=125[/tex]

Step-by-step explanation:

[tex]log_{2} 24 - log_{2}3 =log_{5} x[/tex]

[tex]4.5- 1.5 =log_{5} x[/tex]

[tex]x=(log_{5})^{-1} (3)[/tex]

[tex]x=125[/tex]

Answer:

2.41666666667

Step-by-step explanation:

Answer:

x is equal to or greater than 38.

Step-by-step explanation:

use the equation 300+12x to find the amount of money in total dependent on x, the number of hours she worked.

Step-by-step explanation:

750-300= $450 left that needs to be save to meet her goal.

set an equation to equal 450 that includes the next part of the information given which is $12 and hour

450=12x

isolate x by dividing 12 to both sides

x= 37.5 hrs

the inequality could be :

750<_ 300+ 12x

Answer:

14cm

Step-by-step explanation:

the diameter is 2x the radius

Answer:

What do you need help with?

Step-by-step explanation:

Answer:

fjhvhhgvc

Step-by-step explanation:

hihihihihihihihihihihihihihihihihhiihihibihihihihiihihhiihihihihihhihihihihihihihhiihhihihihihihihihihihihihihihihhihihiihihihihihihihihihihihihihihihhihiihihihhihiihihhhhhhhhhhhhhhhhhhhhhhhiiiiiiiiiiiiiiiiiiiihiih

Answer:

100 minutes or 1.666666 hours or 1 and 2 thirds

Step-by-step explanation:

first do 60x5 because 1 hour is 60 minutes so we get 300 then divide by 3 because of the three sports.

The third part of 5 hours is 1 hour and 40 minutes thus Jason spent 1 hour and 40 minutes in each activity.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Division = divide any two numbers or variables called division.

For example 4/8

As per the given,

Jason spent 5 hours during the weekend practicing his 3 sports and music activities.

Since, time is equal thus per activity, 5/3 hours are spent.

(5/3) x 60 = 100 minutes.

(60 minutes + 40 minutes) = 1 hour and 40 minutes.

Hence "The third part of 5 hours is 1 hour and 40 minutes thus Jason spent 1 hour and 40 minutes in each activity".

To learn more about the arithmetic operators,

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Answer:

the answer is 5

Step-by-step explanation:

when you have something like 30=6x you have to get the x alone so you divide

Answer:

That would be false

Step-by-step explanation:

Answer: Kris's bike

Step-by-step explanation:

KRIS 297/4.5 = 66 gallons per mile

JAKE 366/6 = 61 gallons per mile

BEN = 265.2/5.2 = 52 gallons per mile