If f(1) = 5 and f(n) = 4f(n − 1) - 2 then find the value of f(5).​

Answers

Answer 1

Hi,

This is the same situation as a sequence case.

You have two informations :

[tex]\left \{ {{f(1)=5} \atop {f(n)=4f(n-1)-2}} \right.[/tex]

You need to solve this rank by rank for n = 1, 2, 3, 4 and 5.

We already have f(n) for n = 1 : it is f(1) = 5.

n = 2 :

f(2) = 4 * f(2-1) - 2 = 4 * f(1) - 2 = 4 * 5 - 2 = 20 - 2 = 18 because f(1) = 5

n=3 :

f(3) = 4 * f(3-1) -2 = 4 * f(2) -2 = 4 * 18 -2 = 72 - 2 = 70

n = 4 :

f(4) = 4 * f(4-1) -2 = 4* f(3) - 2 = 4* 70 - 2 = 280 - 2 = 278

n = 5 :

f(5) = 4 * f(5-1) - 2 = 4*f(4) - 2 = 4 * 278 - 2 = 1112 - 2 = 1110

so f(5) = 1110

Good Luck


Related Questions

PLEASE HELP FOR BRAINLIEST

Simplify.
7x + 3(x - 2) - 4x + 8
A) 6x + 2
B) 6x + 14
C) 6x - 2
D) 14x + 2

Answers

Answer:

A

Step-by-step explanation:

7x + 3(x - 2) - 4x + 8

7x + 3x - 6 - 4x + 8

Combine like terms:

6x + 2

Hope this helps!

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's Simply ~

[tex]7x + 3(x - 2) - 4x + 8[/tex]

[tex]7x + 3x - 6 - 4x + 8[/tex]

[tex]7x + 3x - 4x - 6 + 8[/tex]

[tex]6x + 2[/tex]

Therefore, the correct choice is ~ A

x3+y3+z3=k What does this equation mean please?

Answers

Answer:

Sum of cubes problem

Step-by-step explanation:

The equation x3+y3+z3=k is sum of cubes problem. While seemingly straightforward, the equation becomes exponentially difficult to solve when framed as a "Diophantine equation" a problem that stipulates that, for any value of k, the values for x, y, and z must each be whole numbers.

Answer:

it means x to the third power, plus y to the third power, plus z to the third power, equals some number (k).

Step-by-step explanation:

What is -2(3x+12y-5-17x-16y+4) simplified?
A) -40x+8y+2
B) 28x+8y+2
C) 28x+6y+2
D) -28x-8y+2

Answers

Answer: B

Step-by-step explanation:

Multiply everything in the bracket by -2 and combine like terms

Answer:

It's B

Step-by-step explanation:

Solve the system of equations 5x - y = -9 and 3x + 4y = 13 by combining the
equations.

Answers

Answer:

2+2 =22. ‍♀️ ................

what is the inequality for the graph

Answers

Y >= 2X - 5

Step-by-step explanation:

yeah-ya..... right?

Find the equation of a line that passes through the point (3,4) and has a gradient of 4.
Leave your answer in the form
y=mx+c

Answers

Answer:

The equation of a line in the slope-intercept form is:

y = 5x - 18

The slope-intercept form of the line equation

where

   m is the slope

   b is the y-intercept

In our case, we are given

   m = 5

   Point (4, 2)

now substituting m = 5 and (4, 2) in the slope-intercept form of the line equation to determine the y-intercept

y = mx + b

2 = 5(4) + b

20 + b = 2

subtract 20 from both side

20 + b - 20 = 2 - 20

b = -18

now substituting b = -18 and m = 5 in the slope-intercept form of the line equation

y = mx + b

y = 5x + (-18)

y = 5x - 18

Therefore, the equation of a line in the slope-intercept form is:

y = 5x - 18

Pls mark me as brainliest thank you

Answer:

Step-by-step explanation:

m = 4

y = mx +c

y= 4x + c

Plugin x = 3 and y= 4 in the above equation

4 = 4*3 + c

4 = 12 +c

4 - 12 = c

c = -8

Equation of the line :

y = 4x - 8

4x – 5y = 15


m=
b=

(I need to graph the linner equation)

Answers

Answer:

yea I agree that this is correct and it's 15 and it's 4x

The coefficient in the formula above tells us there are:


Question 5 options:


eight Carbon atoms



18 Hydrogen atoms



2 molecules of octane



28 total atoms

Answers

Answer: the awser is 2 not 6

Step-by-step explanation:

I need help asap
With my math homework if any one can help let me know

Answers

Answer:

whats the question?

Step-by-step explanation:

Evaluate each function for the given value of x, and write the input x and
output f(x) as an ordered pair.
18,20,22,24

Answers

Answer:

18) 3

20) -65

22) 12/5

24) -5/2

Step-by-step explanation:

18)  f(-5) = -[2(-5)+1] / 3

= -(-10+1)/3

= -(-9)/3

= 3

20) f(7) = -9(7)-2

= -63-2

= -65

22) f(-1) = -[(12 · -1)]÷5

= -(-12)÷5

= 12/5 or 2 2/5

24) f(9) = 2/9(9) - 9/2

= 2 - 9/2

= 4/2 - 9/2

= -5/2 or -2 1/2

Somebody plz help ????? I need the answer to this

Answers

Answer:

I was thinking it should be -1,2 but that'd not an awnser so B

5y+40z what is the factor

Answers

Answer:

the factored form is 5(y + 8z)

Step-by-step explanation:

Because 5 divides evenly into both 5y and 40z, the GCF is 5 and the factored form is 5(y + 8z)

How do you write 7460 in standard form?

Answers

Answer:

7460

Step-by-step explanation:

To write a linear expression in standard form, rearrange the terms in alphabetical order.

7460

Answer:

a = 7.46

7.46 x 103

103 = 1,000 x 7.46 = 7,460

here your answer

hope it helps you

A shark is 205 feet below sea level, it rises 80 feet towards sea level, then 25 points
drops 40 feet. What is the current elevation?
Captionless Image

Answers

Answer:

165 feet below sea level.

Step-by-step explanation:

205 - 80 = 125

125 + 40 = 165

2 2/3×2 2/5 please answer quickly

Answers

Answer: 6.4 and in fraction form 32/5

Answer:

32/5 or 6 2/5 which 6 2/5 is the simplified answer

Step-by-step explanation:

so first you want to turn your mixed numbers( 2 2/3 and 2 2/5) into fractions

so you turn 2 2/3 into a fraction by multiply 2 times 3 + 2 and you keep the denominator so it would be 8/3

Then you would do the same for the other one 2 times 5 +2 and that would be 12/5

The multiply 8/3 times 12/5 but cross simplify 3 and 12 make 12 four and make 3 one

so then your problem should look like this 8/1 times 4/5 and the answer is 32/5 or if you simplify it would be 6 2/5

'Hope this helped

How many times farther is Jupiter from the Sun than Venus? How many times farther is Saturn from the Sun than Mars? Round your answers to the nearest tenth.

Answers

The Jupiter is 6.93 times farther  from the Sun than Venus

The Saturn is 6.29 times farther from the Sun than Mars

Distance between the sun and Jupiter = 748.02 million km

Distance between the sun and venus = 108.01 million km

Ratio of the distance between the sun and Jupiter to the distance between the sun and Venus = 748.02/108.01

Ratio of the distance between the sun and Jupiter to the distance between the sun and Venus = 6.93

Therefore, the Jupiter is 6.93 times farther  from the Sun than Venus

Distance between the Sun and Saturn = 1.4823 billion km = 1482.3 million km

Distance between the Sun and Mars = 235.66 million km

Ratio of the distance between the Sun and Saturn to the distance between the Sun and Mars = 1482.3/235.66

Ratio of the distance between the Sun and Saturn to the distance between the Sun and Mars = 6.29

Therefore, the Saturn is 6.29 times farther from the Sun than Mars

Learn more here: https://brainly.com/question/25729845

helppp plz is fue today

Answers

Answer:

Step-by-step explanation:

A CHOOSE A

Answer:

A

Step-by-step explanation:

 sorry:c

PLZ help I need to answer quickly!​

Answers

Answer:

4.2

Step-by-step explanation:

All sides are proportional, so choose a pair and find the proportion

Ex: AB and JK = 7/5=1.4

so each side is multiplied by 1.4 to get the larger figure

So 3*1.4=4.2

Could someone explain how to convert from slope intercept form: y=mx+b to standard form: ax+by=c because I don’t understand
Don’t copy from the internet pls

Answers

Answer:

basically you move the y and x to one side and the constant to the other

for example if we had 2y=-5x+6, you'd move the 5x other to the other side by adding 5x and you'd get 5x+2y=6

Please help! Will mark brainliest.
Convert into an exponential expression.

Answers

Answer:

Step-by-step explanation:

5√7²=5√49=9.8

Antoin has 17.5 kilograms of clay. He divides it evenly into buckets that hold 2.5 kilograms. How many buckets of clay will he have?​

Answers

Answer:

7 buckets.

Step-by-step explanation:

17.5 / 2.5 = 7

Answer:

7

Step-by-step explanation:

17.5/2.5=7

1 year = 12 months
3/4 year =

Answers

Answer:

3/4 year = 9

Step-by-step explanation:

To find 3/4 of a year you first need to find 1/4 of a year so you do 12/4 and get 3. Now we know that 1/4 of a year is 3 months so you just multiply that by 3 to get 9. So 3/4 of a  year is 9 months.

I hope this helps!

Your answer to 3/4 of a year is 9 months

Solve the equation for x.

x-8 = 2​

Answers

Answer:

x=10

Step-by-step explanation:

how do I solve this linear inequality?
5x - 7 > 4x + 8

Answers

Step-by-step explanation:

just like an equation.

5x - 7 > 4x + 8 | -4x + 7

x > 15

and that is your result.

in contrast to an equation, an inequality delivers a range as result and not a single point.

Answer:

[tex]\huge\boxed{\sf x > 15}[/tex]

Step-by-step explanation:

5x - 7 > 4x + 8

Subtract 4x to both sides, and Add 7 to both sides

5x - 4x > 8 + 7

x > 15

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Which set of ordered pairs does not represent a function?
a
O{(-6, -9), (-2, -3), (–9,2), (2, -3)}
O {(-2,0), (-5,8), (7,9), (6,8)}
O {(6,9), (-7,8), (1, –4), (8,8)}
O{(-2, -6), (-1,2), (-2, – 7), (6,6)}
Submit Answer

Answers

Answer:

Option 4: {(-2, -6), (-1,2), (-2, – 7), (6,6)}

Step-by-step explanation:

Definitions:A function is a relation for which no two ordered pairs have the same first component (or x-values) and different second component (y-values). The set of first components is the input, also referred as the domain. The set of second components is the output, also referred as the range.

In order to determine whether a given relation is a function, one must always take notice of the x-values ⇒ make sure that an x-value does not have more than one corresponding y-value.

Solution:

Option 1:  {(-6, -9), (-2, -3), (–9,2), (2, -3)}  ⇒ This relation is a function. Each input has one corresponding output.

Option 2: {(-2,0), (-5,8), (7,9), (6,8)}   ⇒ This relation is also a function. Each input has one corresponding output.

Option 3: {(6,9), (-7,8), (1, –4), (8,8)}  ⇒ This relation is also a function. Each input has one corresponding output.

Option 4:  {(-2, -6), (-1,2), (-2, – 7), (6,6)} ⇒ This relation is not a function. The x-value, x = -2, has two corresponding y-values: y = -6, and y = -7.

Therefore, the correct answer is Option 4: {(-2, -6), (-1,2), (-2, – 7), (6,6)}.

Answer:

the last one {(-2, -6), (-1,2), (-2, – 7), (6,6)}

Step-by-step explanation:

it has 2 of the same x values with 2 different y coordinates, in other words it fails the vertical line test.

d
=

(
x
2

x
1
)
2
+
(
y
2

y
1
)
2
Evaluate
d
if
(
x
1
,
y
1
)
=
(
2
,

4
)
and
(
x
2
,
y
2
)
=
(
4
,
3
)
.
Leave your answer in surd form.

Answers

[tex](x_1, y_1) = (2,-4) ,~~~(x_2 , y_2) = (4,3)\\\\d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\\\\=\sqrt{(4 - 2)^2 + (3+4)^2}}\\\\=\sqrt{2^2 + 7^2} = \sqrt{4+49} = \sqrt{53}[/tex]

please help!! thanks!

Answers

Answer:

A.) Yes

Step-by-step explanation:

Plug in (3,2) into both equations ....

2(3) - 3(2) = 0

2(3) + 2 = 8

Then solve ....

2(3) - 3(2) = 0

6 - 6 = 0

0 = 0

2(3) + 2 = 8

6 + 2 = 8

8 = 8

Since both equation are true the solution (3,2) is true

PLEASE HELP

What is required in order to win a game of pickleball?

Group of answer choices


The winning team must serve.


The winning team must smash the ball.


The winning team must return service.

Answers

Answer:

I think A

Step-by-step explanation:

Unlike tennis or badminton, only the serving team can win a point.

Answer:

I believe its c but I barely know how to play that

8

After a reflection over the line y=-2, which direction will the arrow be facing?

Down

Right

Up

Left

Answers

down because it will be positive two now.

Is -1/2 equivalent to - 1/2

Answers

Answer:

Yes

Step-by-step explanation:

- 1 / 2 = - 1 / 2

Both are equal.

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