What is the 15th term of the following sequence? -0.25, 0.5, 1.25, 2, 2.75...

Answers

Answer 1

Answer:

The 15th term is 10.25

Step-by-step explanation:

Sequences

The given sequence:

-0.25, 0.5, 1.25, 2, 2.75...

can be categorized as an arithmetic sequence. To better know, we try to find a common difference between successive terms:

0.5 - (-0.25) = 0.75

1.25 - 0.5 = 0.75

2 - 1.25 = 0.75

Once we are certain it's an arithmetic sequence, we find the general term by using the formula:

[tex]a_n=a_1+(n-1)r[/tex]

Where n is the number of the term, a1 is the first term, and r is the common difference. We have already found that:

r=0.75

a1=-0.25

The 15th term (n=15) is:

[tex]a_{15}=-0.25+(15-1)*0.75[/tex]

[tex]a_{15}=-0.25+14*0.75[/tex]

[tex]a_{15}=-0.25+10.5=10.25[/tex]

The 15th term is 10.25


Related Questions

Solve for n: 2n - 4 < 16

Answers

Answer:

n<10

Step-by-step explanation:

Answer:

n=10 ,,,,,,,,,,,,,,,

Use the information given to enter an equation in standard form.
Slope is -6, and (0,-7) is on the line.
Plzzz help I will mark you as brainliest

Answers

Answer:

y=-6x-7

Step-by-step explanation:

Complete the steps to solve the equation -19x - 11 = -125.
-19x - 11 = -125 Write the original equation.
-19x = __ Apply the Addition Property of Equality.

Answers

Answer:

Step-by-step explanation:

-19x-11= -125 add 11 to both sides

-19x= -114   divide by -19

x= 6

can you guys help with this problem pls

25(8)+7(8)+25x+7x

Answers

Answer:

32x+256

Step-by-step explanation:

Answer:256+32x

Step-by-step explanation:

Given lines p and q are parallel, m<2 - (14x - 12), m<6 - (5y + 23), and m<8 - (8x + 27), solve for the values of x and y then solve for the measure of each angle

Answers

Answer:

x = 7.5

y = 14

m<1 = 87°

m<7 = 93°

Step-by-step explanation:

Given:

m<2 = (14x - 12),

m<6 = (5y + 23),

m<8 = (8x + 27)

m<2 + m<8 = 180° (consecutive exterior angles are supplementary)

(14x - 12) + (8x + 27) = 180 (substitution)

Solve for x

14x - 12 + 8x + 27 = 180

Collect like terms

22x + 15 = 180

Subtract 15 from each side

22x = 180 - 15

22x = 165

Divide both sides by 22

x = 7.5

m<2 = m<6 (corresponding angles are congruent)

(14x - 12) = (5y + 23) (substitution)

Plug in the value of x

14(7.5) - 12 = 5y + 23

105 - 12 = 5y + 23

93 = 5y + 23

Subtract 23 from each side

93 - 23 = 5y

70 = 5y

Divide both sides by 5

14 = y

y = 14

✅m<1 = m<8 (alternate exterior angles are congruent)

m<1 = (8x + 27) (substitution)

Plug in the value of x

m<1 = 8(7.5) + 27 = 87°

m<7 = m<2 (alternate exterior angles are congruent)

m<7 = (14x - 12) (substitution)

Plug in the value of x

m<7 = 14(7.5) - 12 = 93°

Please help! I need help!

Answers

Answer:

What grade work is it? I don't really know what it says. Sorry, please can you type it out?

Step-by-step explanation:

Answer:

X is well i do not know but for the other person it says 3 times x = 8/2

Step-by-step explanation:

Bescha predicted that she would sell 500 handmade vases at a flower show. When the show was over, she had 50 vases left. What was the percent error in the estimate? Round the answer to the nearest tenth.
10.0%
11.1%
50.0%
90.1%

Answers

Answer: 10.0%

Step-by-step explanation:

Answer:

Its A

Step-by-step explanation:

what is 1395^2 plz help

Answers

1,946,025 would be the answer
all you do is multiply 1395x1395

(5/9 multiplied by -4) + (3/4 multiplied by -6) is ? Please please help ill give brainiest!!

Answers

Answer:

- 6 13/18

Step-by-step explanation:

5/9 times -4 is -20 over 9     -20/9     -2 2/9

3/4 times -6 is -18 over 4     -18/4         -4 1/2

You need them to have a common denominator

so you can multiply the first answer by 4 and the second by 9.

You get -242/36 after a while

and then

you simplify.

You can multiply 36 six times  into -242 so you get the whole number of 6 plus 216

242-216 is 26

26 over 36 is 13 over 18

-6 13/18

I don’t understand help me plz hard

Answers

Answer:

-2 1/2 is the correct answer

I hope this helps! If it is correct please mark brainliest answer, thank you!

Stay safe, God bless and happy studying!

-3(x-10)<30
Solve and Graph for X
Need help ASAP

Answers

Answer:    -3(x-10)<30,X there you go BOM

Step-by-step explanation:

What is the equation of this line?

Answers

Answer:

y= -5/4x + 6

Step-by-step explanation:

y= mx + b

m= -5/4 (rise over run/slope)

b= 6 (y-intercept)

-I hope this helps have a great day!

Answer:

y = -5/4(x)+6

Step-by-step explanation:

to find the equation of this line, we must first find the slope

We can write the equation of this line y = mx + b where m is the slope and b is the y-intercept

m = (y2-y1)/(x2-x1)

m = (-4-6)/(8-0)

m = -10/8

m = -5/4

b is the y intercept which is at 6

So the equation of the line is y = -5/4(x)+6

f(x)=2(x+2)²-1 determine the vertex (h,k)

Answers

the vertex would be, (-2,-1)

Answer:

The vertex will be (-2,-1)

If m<1 = (7x - 19), and m<2 = (x + 5), find m<2

Answers

Answer:

Step-by-step explanation:

What is the perimeter of this shaded figure that please somebody respond i need help ?????!!!!!!!!

Answers

38

Step-by-step explanation:

2+2+2+2+7+7+10+6= 38

count up all of the sides of the shape then you get your answer :)

I need help!!!! I don’t understand these well and I have to do 5 of these.

Answers

I believe it would be b

Function or not function please help I will give brainless

Answers

Answer:

It is a not a Function.

Because one number has two arrows pointing to two different numbers.

Answer:

No

Step-by-step explanation:

(the image is fuzzy so you can't really see the lines)

It seems that when x = 1, f(x) is both 4 and 5.

While two different x values can equal the same y value, one single x value cannot be equal to more than one value.

If this was a function that could be graph, there would be an extra dot at (1, 4) or (1, 5) since 1 is equal 4 or 5. This is why it is not a function.

My Fav Football team what’s yours? Follow and Like

Answers

Answer:

I don't like Football...

Step-by-step explanation:

Answer: My fav is the New York Giants

Step-by-step explanation:

The costs of renting a car from us is just $19.25 per day. Let x represent the number of days, and y represents the costs.

Answers

Answer:

y=19.25x

Step-by-step explanation:

30 Points!!! Which translation rule describes the translation that is 2 units to the right and 8 units down? (1 poina
(x,y) → (x + 2, y - 8)
(x, y) (x - 2, y - 8)
(x,y) → (x-2, y+8)
(x, y) (x + 2, Y + 8)

Answers

Answer:

Answer is A

Step-by-step explanation:

(x,y) → (x + 2, y - 8)

when moving to the right 2 the x coordinate increases by two when moving down 8 the y coordinate decreases by eight

Zack delivers mail for the post office.everyday he walks a seven mile route.How many miles does Zack walk in one month if he works 22 days a month

Answers

If im right give me brainliest

Answer: 154

Step-by-step explanation: 22 represents days 7 represents miles he walks a day i think you to have to multiply. 22 times 7 is 154  

HELP ME WITH THE ANSWER PLEASE!! HURRY

Answers

Answer:

more info needed

Step-by-step explanation:

FIRST CORRECT ANSWER WILL GET BRAINLIEST!!!!!!!!!!!

Find the slope represented on the graph



A)-2/3


B)2/3


C)-3


D)3

Answers

Answer:

B

Step-by-step explanation:

You can do rise over run or use the slope formula which is y2-y1/x2-x1

4x+5+4x+5+4x+5+4x+5+4x+5 solve for x

Answers

Answer:

3

Step-by-step explanation:

Unit 3 Test ( Similarity ) Find GK

Answers

Answer:

not positive but i would say 48

Step-by-step explanation:

One sixth of a number is equal to triple that number less 136.

Let the unknown number be x. Write this word problem using the variable x.

Answers

No se hhhhhhhhhhhhhhhhhhjkkkkkkkllll

In which expression is the coefficient of the linear term -1?

Answers

It should be A.. its the only choice where i see -1

Which equation has infinitely many solutions?
A. 12 + 4x = 6x + 10 – 2x
B. 5x + 14 – 4x = 23 + x – 9
C. x + 9 – 0.8x = 5.2x + 17 – 8
D. 4x – 2x = 20

Answers

Answer:

it might be c or a i go with c

Step-by-step explanation:

not for sure just a best guess

i need some help please

Answers

the awnser will be 12 !!

have a good day !

jim brownee sells cell phones. He sold $1000 last week. he gets 5%
commission on the first $200, 7% on the next $300 and 9% on anything
over $500. what was his total commission earned?
A. 152
B. 63
C. 225
D. 76

Answers

Answer:

D. 76

Step-by-step explanation:

200x5%=10

300x7%=21

500x9%=45

10+21+45=76

Other Questions
Question 4 of 5What is one of the major geographic features of Pacific South America?A. Enormous rain forestsB. Flat, fertile farmland,C. Frozen tundra and glaciersO D. Deserts with little moisture Please help me with this and explain how you got the answer. :) prohibited drugs meaning Please answer! Very easy and will mark brainlist. Rachel's school play started at 9:20 AM.It lasted 2 hours and 10 minutes.What time did the play end? True or FalseQueen Liliuokalani was educated in Japan. I live in a country where I get to vote but do not directly elect my leader. Instead, I elect a representative to the legislative branch known as the Knesset. The majority political party of the Knesset then choose one of the representatives to be the Prime Minister. Group of answer choicesA Saudi Arabia, TheocracyB Israel, Parliamentary DemocarcyC Iran, Presiential DemocracyD Israel, Autocracy How do the products of chemical reactions compare to their reactants?Question 5 options:The products often have completely different properties than the reactants.The products usually weigh more than the reactants.The products usually have more atoms than the reactants.The products are usually more toxic than the reactants. Cropping can do all the following EXCEPT _______.Group of answer choicesreframe the photographalter the coloring of the imageplace the focal point in a better positionremove unwanted elements of the picture What is the definition of a Text Structure? to present a possible solution for the problemto show the differences and similaritieswriting that presents information or ideas about real people, places, things, or eventsthe order or pattern a writer uses to organize information Find the variance for the given data. Round your answer to one more decimal place than the original data. {12.4, 10.7, 14.5, 10.1, 16.5} Which of the following BEST describes the relationship between the Boston Marathon bombing and biometrics? What is the speed of a car thataccelerates at a rate of 10 m/s2 for atotal of 25 seconds? The amount a hardware store pays for buying nylon rope is represented by the equation y = 0.08x, where 'y' is the price it pays for 'x' feet of rope. The amount the hardware store charges for selling the rope is represented by the graph. Part A What does the slope of the graph show about the hardware store's selling price for the rope? I WILL GIVE BRAINLIST PLZ HELP What is a good prediction question to ask after reading this excerpt?Why is the man using a hatchet to open the cage?What will happen when Buck and the man interact?Who will introduce Buck to the man in the red sweater?Where did Buck learn the aggressive behavior hes showing? 05. In identifying risks to then manage and control, as the portfoliomanager you are consulting organizational process assets such as: A line passes through (2, 1) with slope 3. What is the equation of the line in slope-intercept form? A. y=3x+5 B. y=3x7 C. y=13x+5 D. y=13x Without counting them one-by-one, how many orange tiles should you buy for the border of Kelly's 5 x 5 swimming pool? What kind of nouns, verbs, adjectives, and adverbs should you include in your story? Madeline has two different candles made by two different companies. The length in centimeters of the first candle depends on its burning time t (in hours) according to the formula f(t)= 20-1.5t. The length (in centimeters) of the second candle over time