Find the third, fifth, and seventeenth terms of the sequence described by
the explicit formula: f(n)=-9.2-2.5(n-1)

Answers

Answer 1

Given:

The explicit formula of a sequence is

[tex]f(n)=-9.2-2.5(n-1)[/tex]

To find:

The third, fifth, and seventeenth terms of the sequence.

Solution:

We have,

[tex]f(n)=-9.2-2.5(n-1)[/tex]

For n=3,

[tex]f(3)=-9.2-2.5(3-1)[/tex]

[tex]f(3)=-9.2-2.5(2)[/tex]

[tex]f(3)=-9.2-5[/tex]

[tex]f(3)=-14.2[/tex]

For n=5,

[tex]f(5)=-9.2-2.5(5-1)[/tex]

[tex]f(5)=-9.2-2.5(4)[/tex]

[tex]f(5)=-9.2-10[/tex]

[tex]f(5)=-19.2[/tex]

For n=7,

[tex]f(7)=-9.2-2.5(7-1)[/tex]

[tex]f(7)=-9.2-2.5(6)[/tex]

[tex]f(7)=-9.2-15[/tex]

[tex]f(7)=-24.2[/tex]

Therefore, the third, fifth, and seventeenth terms of the sequence are -14.2, -19.2 and -24.2 respectively.


Related Questions

Megan bought 2 1/4 pounds of bananas for 0.80 per pound and 1 1/2 pounds of strawberries for 1.10 per pound how much more did Megan spend on bananas than on strawberries

Answers

Answer:Megan spent 0.15 pounds more on bananas than strawberries

Step-by-step explanation:

Step 1

Cost of bananas = 2 1/4 pounds of bananas for 0.80 per pound

2 1/4 x 0.80 = 1.8 pounds

Cost of strawberry= 1 1/2 pounds of strawberries for 1.10 per pounds

1 1/2 x 1.10  = 1.65.

Step 2  how much  more means the difference between the cost of bananas and strawberry .

 Therefore, we have Cost of bananas - cost of strawberries

1.80 pounds - 1.65 pounds=0.15

Megan spent 0.15 pounds more on bananas than strawberries

Hi , I will mark brainliest for who get it right.
Also pls hurry this is on my Unit Test and I'm timed.❤❤​

Answers

Answer:

28x+8y+2

Step-by-step explanation:

-2×3x=-6x

-2×12y=-24y (+×-)=(-)

-2×-5=10(-×-)=(+)

-2×-17x=34x

-2×-16y=32y

-2×4=-8

collect like terms

-6x-24y+10+34x+32y-8

28x+8y+2

Which expression is the same as 2 (4-7m)?
A) 6-9m
B)6+9m
C)8-14m
D)8+14m

Answers

Answer:

The answer would be c) 8-14m

Answer:

C: 8-14m

Step-by-step explanation:

2(4-7m) = 8 - 14m

find this by distributing the 2 into the parenthesis: 2 * 4 and 2* -7m to get 8 and -7m

A water chips system in a garden uses 2/3 cup of water every 1/6 of an hour how much water is used one hour

Answers

Answer:

4

Step-by-step explanation:

1/6 of an hour is 10 minutes. there are 60 minutes. 2/3 times 6 is 4. I hope that helped :)

Answer:

6*2/3= 4 cups of water are used in one hour

Step-by-step explanation:

There is 6, 1/6 of an hour in an hour so we would multiply 2/3 (which is used every 1/6 of an hour) by 6 to get the answer.

u+(−5)=−15 What do do to the negative 5 if its ib parentheses

Answers

Answer:

u = -10

Step-by-step explanation:

u + (−5) = −15

u − 5 = −15                  distributive multiplication, think of it like 1 * -5 = -5

u = -10                         add 5 to both sides of equality

All Common multiples between 2 and 9

Answers

Answer:

18, 36, 54, 72, 90...

Step-by-step explanation:

6 2/5 x 3 ÷ 2 2/4 =
4 4/5 x 5 7/5 ÷ 6 8/9=

Answers

Answer:

Answers are below

Step-by-step explanation:

Q1. 64x^3/25

​Q2.​​ 3456x/775

​​

Triangle TUV, with coordinates T (3, 3), U(3, -2), and V(-7,3), undergoes a dilation about the origin to produce triangle
WXY. If triangle W XY has coordinates W(6,6), X(6,-4), and Y(-14,6), what is the scale factor?

Answers

Answer:The scale factor is 2

Step-by-step explanation:

I took the test and I got it right

Answer:

Step-by-step explanation:

It’s 2

What is the solution to the equation above

Answers

Answer:

A = 3/4

Step-by-step explanation:

alternately could equal 0.75

Classify the following triangle based on its shape.

Answers

Answer: a right triangle

Step-by-step explanation:

If they instead chose front and back covers of thickness 1/3 of an inch, how would this change the equations in the previous two parts

Answers

Answer:

where is the rest of the question

Step-by-step explanation:

Answer:

y = 1/2 + 1/4*x

Explanation:

Given that the front cover has a thickness of 1/4 an inch and back cover also has a thickness of 1/4 an inch, then, the addition of both gives to the book thickness of 1/4 + 1/4 = 1/2 inch, despite how many pages it has.

Given that for every hundred pages a thickness of 1/4 inch is added to the book, then the equation is:

y = 1/2 + 1/4*x

where y refers to the width of the book, and x refers to every hundred pages printed on bond paper. Y is measured in inches.

can you plz help me with this?​

Answers

Answer:

asdfghjkvbn]

Step-by-step explanation:

Answer:

y=35

you put 4y-100-4y =180

4+4= 8 so it's 8y-100=180

180+100=280 then 280/8 is 35

so y=35

For which system of equations would you need to estimate the solution?

Answers

Answer:the second graph or b

Step-by-step explanation:

i got it right on edunity2020

Answer:

its b.

Step-by-step explanation:

just did it

Ramon earns $1,665 each month and pays $53.20 on electricity. To the nearest tenth of a percent, what
percent of Ramon's earnings are spent on electricity each month?

Answers

You need to add
Tell me what you think it is and I will help you


2 x 6 - 21 divided by 7

Answers

Hi there!

The answer is -1.2857

Hope this helps!

If you go out to eat with 3 friends and you mea was $72.50 there is a 6.75% slaes tax and you should tip the waiter 15% how much should each person pay.

Answers

Answer:

$29.42

Step-by-step explanation:

Total cost of meal for the 3 friends = $72.50

sales tax = 6.75%

percent tip = 15%

Total %paid on meal = 6.75%+15% = 21.75%

Increment paid = 21.75% of  $72.50

Increment paid =  21.75/100 * 72.50

Increment paid = 21.75 * 0.7250

Increment paid = $15.7685

Total amount paid = original cost + increment

Total amount paid = $72.50+$15.7685

Total amount paid = $88.26875

If the 3 friends paid $88.26875

Each person will pay $88.26875/3 = $29.42

Hence each person will pay $29.42

x = 1 while(x < 26) print(x) x = x + 1 There is an error in the while loop. What should be fixed? Add a colon to the end of the statement Begin the statement with the keyword count Change the parentheses around the test condition to quotation marks Use quotation marks around the relational operator

Answers

Answer:

Add a colon to the end of the statement

Step-by-step explanation:

Given

x = 1

while(x < 26)

   print(x)

   x = x + 1

Required

Spot and fix the error

Every lines of the given code segment is correct except the second line.

The syntax of a while loop is:

while(condition):

Comparing while(condition): to while(x < 26),

we'll see that while(x < 26) has a missing colon.

So, the error in the program is a missing colon and the solution is (option a) adding a colon to the end of the while statement

So, the correct code segment is:

x = 1

while(x < 26):

   print(x)

   x = x + 1

24,29,32 a acute, right, abtuse

Answers

Answer:

All are acute

Step-by-step explanation:

Acute angles are any angles that are less than 90°.

Right angles are angles that measure 90°.

Obtuse angles are angles that are more than 90°.

As we can see, 24, 29, and 32 are all less than 90°, making them all acute.

Best of Luck!

Solve the equation. - 13 = 5+X​

Answers

Answer:

-13=5+x, rearrange the terms.
-x=5+13, add.
-x=18, invert the sign.
x=-18

Please answer correctly !!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

X+123°=180°(BEING DUM OF CO INTEROIOR ANGLES IS EQUAL TO 180°)

X=180°-123°

X=57°

Hi!

x = 57 degrees.

Explanation:

There is a straight line, so that must mean there is a linear pair. We know the first part of that pair is 123 degrees. The linear pair adds up to 180 degrees. Subtract 123 from 180 to get 57.

That angle and x are alternate interior angles, so they are equivalent.

6 is a Natural, Whole, and Integer number,
True or false

Answers

Answer:

This is true!

Step-by-step explanation:

It is natural because it is a positive integer greater than 0, it's whole because its not negative and it is an integer.

(8.4C) Ken has a weekly goal for the number of
calories he will burn by taking brisk walks. The
equation y = -300x + 2400 represents the
number of calories, y, Ken has left to burn after
x hours of walking. What is the slope in this
situation?

Answers

Answer:

the slope is -300

Step-by-step explanation:

y=mx+b

m is slope

a plane ticket to Barcelona costs £175

Answers

Answer:

Given:

A plane ticket to Barcelona costs £175 the price decreases by 6%

To find:

The new price of the plane ticket

Solution:

The ticket to Barcelona costs £ 175

The price decreases by 6%

⇒ 6% = 6/100 = 3/50

The new price of the plane ticket is decreased by the amount,

= £ 175 × 3/50

= £ 10.5

Therefore, the new price of the plane ticket is given by,

= £ 175 - £ 10.5

= £ 164.5

ik this question i got at school

Answer: £175

Step-by-step explanation:

You said it costs £175

La altura de una pelota que es lanzada directamente hacia arriba con una velocidad de 40 pies/s esta dada por y=40t -16t2 ¿Cuál es la altura máxima alcanzada por la pelota?

Answers

Explicación paso a paso:

Dada la altura de una pelota que se lanza directamente hacia arriba con una velocidad de 40 pies / modelada por la ecuación y = 40t -16t ^ 2

La pelota alcanzó su altura máxima cuando la velocidad es cero.

La velocidad se expresa como dy / dt

dy / dt = 40 - 2 (16) t

dy / dt = 40 - 32t

A altura máxima, dy / dt = 0

0 = 40-32t

-40 = -32t

t = 40/32

t = 1,25 s

Para obtener la altura máxima alcanzada, sustituirá t = 1.25 en la función modelada de la altura como se muestra;

y = 40t - 16t ^ 2

y = 40 (1,25) - 16 (1,25) ^ 2

y = 50 - 25

y = 25

Por tanto, la altura máxima que alcanza la pelota es de 25 m

Queremos encontrar la altura máxima alcanzada por una pelota que es lanzada hacia arriba. Veremos que la altura máxima es 25 pies.

Encontrando el máximo.

Sabemos que la ecuación de la altura es:

y = 40*t - 16*t^2

Podemos ver que es una parabola con un coeficiente lider (el que multiplica la variable al cuadrado) negativo. Esto sinifica que el maximo esta en el vertice.

Para una parabola general:

a*x^2 + b*x + c

El vertice está en:

x = -b/(2a)

Así que en nuestro caso, el vertice de y = -16*t^2 + 40*t está en:

t = -40/(2*(-16)) = 1.25

Para encontrar la altura maxima evaluamos la ecuación en este valor de t:

y = 40*1.25 - 16*(1.25)^2 = 25

Es decir, la altura máxima es 25 pies.

Sí quieres aprender más sobre parabolas, puedes leer:

https://brainly.com/question/12272972

I need help quick please

Answers

Answer:

search it up its there

Step-by-step explanation:

What is the value of the expression below?

(9.5 minus 3 times 1 and one-half) divided by 0.5
0.5
5
10
19.5

Answers

Answer:

19.5

Step-by-step explanation:

9.5 minus 3 is 6.5

6.5 times 1.5 is 9.75

9.75 divided by .5 is 19.5

Answer:

d

Step-by-step

because i said so

Find the total surface area of the
following square pyramid:
10 cm
12 cm
SA = [?] cm2

Answers

Step-by-step explanation:

Hope this helps, happy learning!!!!

The surface area of the square pyramid will be 240 square centimeters.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The dimension of the square pyramid will be 12 cm and 10 cm.

Then the surface area of the square pyramid will be

The surface area is four times the area of the triangle.

Surface area = 4 x 1/2 x 12 x 10

Surface area = 2 x 120

Surface area = 240 sqaure cm

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2

4. A math tutor makes $12 an hour for the first 40 hours she works during a week and $24 an hour for each hour over 40 hours. As an exercise for her students, she had them graph her total weekly pay in dollars as it relates to her number of hours worked. Now you will do the same. (6 points: Part I - 1 point; Part II - 2 points; Part III - 1 point; Part IV - 2 points)
Part I: What equation models the tutor's total weekly pay y in dollars as it relates to the number of hours x that she has worked if the tutor has worked 40 hours or fewer?








Part II: What equation models the tutor's total weekly pay y in dollars as it relates to the number of hours x that she has worked if the tutor has worked more than 40 hours?








Part III: Combine the slope-intercept equations found in parts I and II into one piecewise equation.








Part IV: Graph the tutor's total weekly pay in dollars as it relates to her number of hours worked by using the piecewise equation from part III and the coordinate grid below.

Answers

Answer:

See below

Step-by-step explanation:

Part I

When x ≤ 40, the equation is

y = 12xPart II

When x > 40

y = 12*40 + 24(x - 40) ⇒ y = 24x - 960 + 480   ⇒y = 24x - 480Part III

[tex]y = \left \{ {12x, if x < or = 40 \atop {24x - 480, if x>40}} \right. \\[/tex]

Part IV

The graph is attached

After the party, 4/6 of a pepperoni pizza was left, and 5/7 of a veggie pizza was left. If the leftovers are put together, is there more or less than one whole pizza?

Please answer for me!

Answers

the answer is 29/21. 4/6 + 5/7 = 29/21. so theres your answer

Eduardo and Krystal each improved their yards by planting daylilies and shrubs. They bought their supplies from the same store. Eduardo spent $65 on 5 daylilies and 5 shrubs. Krystal spent $76 on 4 daylilies and 10 shrubs. What is the cost of one daylily and the cost of one shrub? SHOW YOUR WORK *

Answers

Answer:

Step-by-step explanation:$9 daylilies, $4shrubs. 9x5=45+4x5=20 $65. 9x4=36+10x4=$76

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