The first five terms in a pattern are shown below.

-0.5, -0.25, 0, 0.25, 0.5, …

If the pattern continues, which expression can be used to find the nth term?

0.75n − 1.25
−0.25n − 0.25
0.25n − 0.75
−0.5n + 0.25

Answers

Answer 1

Answer:

I think this answer is A.

Step-by-step explanation:

I think this because when you subtract 0.5-0.25 you get 0.25. So you would add it to whatever comes next until you get to the 9th term. Then you would be somewhere around the ones place. :)

Answer 2

In the given pattern, the expression that can be used to find the nth term of the sequence is T(n)=0.25n-0.75. The correct option is C.

What is an Arithmetic Sequence?

An arithmetic sequence is a sequence in which the difference between any two consecutive terms of the sequence is equal.

Tₙ = a₁ + (n-1)r

where,

Tₙ is the nth term of the sequence,

a₁ is the first term of the sequence,

r is a common difference between every two terms.

Since the given sequence is in an arithmetic progression, therefore, the common difference between any two consecutive terms in the sequence are,

Difference, d = -0.25 - (-0.5)

                      = -0.25 + 0.5

                      = 0.25

Also, the first term of the sequence is -0.5. Therefore, using the formula of nth for an arithmetic sequence, we can write,

nth term = a₁ + (n - 1)d

              = -0.5 + (n - 1)0.25

              = -0.5 + 0.25n - 0.25

              = 0.25n - 0.5 - 0.25

              = 0.25n - 0.75

Hence, in the given pattern, the expression that can be used to find the nth term of the sequence is T(n)=0.25n-0.75.

Learn more about Arithmetic Sequence here:

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Related Questions

Which expression is shown using the model below?


5(6+6)

5(6+5)

6(6+5)

6(6+10)

Answers

Answer:

6(6+5)

Step-by-step explanation:

im not entirely sure, but the light green box is 6x6 and the dark green box is 6x5 so thats how i got my answer. Sorry if its incorrect. good luck!!

6(6+5)

Would be the answer because if you count the squares it’s 6 by 6 and 5 by 6

The table lists recommended amounts of food to order for 25 party guests. Nathan is hosting a graduation party for 40 guests. There will also be guests stopping by for a short time. For ordering​ purposes, they will count each of the 45​ "drop-in" guests as half a guest. How much of each food item should Nathen order?
will make branliest!!

Answers

Answer:

63 pieces of chicken 9.73 pounds of deli meat and 28.49 pounds of lasagna

Step-by-step explanation:

There will be approximately 62.5 guests but you cant have half of a person so lets round up to 63 just to be safe and we will round

He needs to order 2.65 orders so he doesn't have to much extra.

24x2.65=63.6

3.67x2.65=9.7255

10.75x2.65=28.4875

i hope this helps

The sum of two numbers is 225. The difference of the same two numbers is 35. Find the 2 numbers.

Answers

Answer:

30 and 195

Step-by-step explanation:

The two numbers are 130 and 95.

There are whole numbers that are not integers. (True or False)


I dont fully understand this type of math yet.
There are rational numbers that are not whole numbers. (True or False)



All rational numbers are integers. (True or False)



All whole numbers are rational numbers. (True or False)

Answers

1. False All whole numbers are integers (and all natural numbers are integers), but not all integers are whole numbers.
2. True All natural numbers, whole numbers, and integers are rationals, but not all rational numbers are natural numbers, whole numbers, or integers.
3.False All rational numbers are not integers.
4. True every rational number is may or may not be a whole number but every whole number is a rational number.
True, true, true, false I think

Which statements accurately describe how to determine the y-intercept and the slope from the graph below? On a coordinate plane, a line goes through points (0, negative 6) and (3, 0).
A)To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction.
B)To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction.
C) To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction.
D)To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction. :')

Answers

Answer:

C?

Step-by-step explanation:

Sorry I tried im dumb

Here is the real problem ! Giving 30 points!

Answers

Answer:

A. the one in the table because after two hours it is the size of the one that began at 20 cm

B. the one describes by the graph because after 10 hours it would be 0 cm and the one described by the equation would be 5 cm

C. the one described by the graph will burn out in 10 hours as shown in the graph and the one described by the equation will burn out in 12 hours

Step-by-step explanation:

i hope this helps

ummmmmmm they aree right ^^^^^

(12.9−3.1)×6.2−2+[tex]4^{3}[/tex]

Answers

Answer:

122.76

Step-by-step explanation:

Delia uses 3.5 skeins of yarn to knit one scarf. How many scarves can she complete if she has 19 skeins of yarn?

Answers

Answer:

4 scarfs

Step-by-step explanation: 19 divided by 3.5

Four scarfs ..........

A. They both have a positive correlation, but Graph 1 has a stronger association. B. They both have a positive correlation, but Graph 2 has a stronger association. C. They both have a strong association, but Graph 1 has a positive correlation while Graph 2 has a negative correlation
d. They both have a strong assoication, but Graph 1 has a negative correlation while Graph 2 has a positive correlation​

Answers

the answer is b (they both have a positive correlation)

The comparison between the two graphs is that: B. they both have a positive correlation, but Graph 2 has a stronger association.

What is a positive correlation?

A positive correlation refers to a terminology that describes a scenario in which two or more variables move in the same direction and are in direct proportion.

This ultimately implies that, a positive correlation exists in a graph when its variables have a linear relationship or are in direct proportion.

Based on the graphs attached in the image below, we can deduce that the two graphs both have a positive correlation, but Graph 2 has a stronger association.

Read more on positive correlation here:

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y+16= -8
Another Question heheh

Answers

Answer:

y = -24

(mark me brainliest)

y=-24
To solve this you need to get y by itself so you have to move 16 to the other side. To do this you are doing to do the opposite of what it says so since on that side it’s addition you are going to subtract. Subtract 16 from 16 which cancels it out, then subtract 16 from -8 to get -24. Now you have y=-24

How was Cassie’s family different from the other families in the area? (A) They were originally from Illinois. (B) They were wealthy and educated. (C) They owned the land they lived on. (look up Roll of Thunder, Hear me cry) only read the first chapter ill be posting questions and if you answer this question ill give u 10 free brainiests !!

Answers

Answer:

B

Step-by-step explanation:

B I do believe (Brainly needs 20 characters for me to answer:)

PLEASE HELP ME MY BRAIN CAN'T TAKE IT: Lin’s family has completed 70% of a trip. They have traveled 35 miles. How far is the trip in miles?

Answers

Answer:

Okay so, 70% of a trip.

Divided 35 by 7, and you get 5. Therefore I think 5 miles is 10% of the trip. So, the entire trip would be 50 miles. SORRY IF THIS IS WRONG

Step-by-step explanation:

50 because 35/50 is .70 or 70%. You can find this by doing 35/0.70

The ratio of your monthly allowance to your friends is 2:3. If the monthly allowances total $40, how much does EACH person receive?
I'm reasking because nobody's answering and I've spent an hour trying to understand.

Answers

Answer:

Each person got 8 dollars.

Step-by-step explanation:

If there are five friends then you would divide 5 by 40 and the answer is 8.

Oof could someone help me with this? I will give Brainliest to the correct answer.

Answers

Answer:

Simplify the expression.

Exact Form:

1 / 1104427674243920000000000000 (or 1/7^32)

Decimal Form:

9.05446344 ⋅ 10−28

Step-by-step explanation:

Hope this helps :)

Which is the greatest rate? 2.3% 0.99% 2.25% 1.1%

Answers

Answer:

2.3%

Step-by-step explanation:

Answer : it’s 2.3%
Explanation:

(fairly easy if you use internet. im just lazy) Fill in the blanks for the biological carbon cycle using the picture I attached

Answers

Answer:

I thought i knew this, but now I forgot the order ^-^

Step-by-step explanation:

Answer:

not to be rude or anything but if u are lazy and dont

want to search it up why are u dong it here?? like it basically the same if u search it up so...

Step-by-step explanation:

hope ur answer gets solved tho :D

Anyone need advice on how to come out? Answer if so. LGBTQ+ peeps only answer.

Answers

Answer:

Find a good suprise way to to tell them

Step-by-step explanation:

Good luck!!!

Answer:

Come out when you're ready to. You don't have to come out if you don't feel safe. That's what I'm doing. Wait for the perfect moment.

Step-by-step explanation:

I hope this helps you! Good luck my fellow community member!

what is 20+20. i need an answer now

Answers

20 plus 20 equals 40 so answer: 40
40 because you add 20 to 20

Need some help here... Image below. Please try and explain how you get the answer, as I do want to try and learn the material.

Answers

Answer:

i think you divide 100 by 60 to get the answer for number 14 but im not sure

Step-by-step explanation:

$60 for 100 and $65 for 150

what is 45x 56y I need to find the slope?

Answers

Answer:

y=x+_ ///  slope is 1 tho

Step-by-step explanation:

well if its (4,5) and (5,6)

slope intercept form: y=mx+b

slope: y2-y1/x2-x1

6-5/5-4=1/1= 1

y=x(1x)+__ i dont remeber

Select the sentence that represents the equation below. 4x−8=2(2x−3)

Question 9 options:

A. Four times a number less than eight is equal to two times the difference of double
that same number decreased by three.

B. Eight less than four times a number is equal to two times the difference of three minus double that same number.

C. Eight less than four times a number is equal to two times the difference of double that same number decreased by three.

D. Eight minus four times a number is equal to two times the difference of double that same number minus three.

Answers

Answer:

the answer is c, that represents the equation

Answer:

Pretty sure it's B.

Please help me on this.

Answers

Answer:

The third option. (the one where it intersects on the y line)

Step-by-step explanation:

If you solve for the system of equations, you will find that it is (0,3), so it intersects on the y line. Additionally, it is on the top because it is positive.

Simplify the following expression. (1/7 + 3/8) + (2/9x - 1/8)

Answers

Answer:

2/9x+11/28

PLZ MARK ME BRAINLIEST

The equation of the horizontal line passing through the point (-3, 8) is y = 8. O True O False​

Answers

Answer:

I am guessing that it is true

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

y=8 is a horizontal line on the y axis

Hello, I need help. (Again TwT)

Answers

Yes the answer is 2/3
The answer is 2 over 3

. Evaluate | 7 | = ?.

Answers

Answer:

|7| = 7

......

Step-by-step explanation:

Answer:|7| and |-7|

Step-by-step explanation:

Cole took a total of 36 quizzes over the course of 4 weeks. How many weeks of school will Cole have to attend this quarter before he will have taken a total of 45 quizzes? Assume the relationship is directly proportional.

Answers

Answer: 5 weeks

Step-by-step explanation: 36 / 4 = 9. This means in 1 week he finishes 9 quizzes. 9 x 5 = 45, therefore it would take him 5 weeks to finish 45 quizzes.

It should be 5 weeks

Can you please do all 4 and give me the 4 letter code.

Answers

If you want I can show you how to solve it

CAHF first slope is 2, second is -3, third is 5, fourth is 1

What is 5x+y=45 in slope intercept form?

Answers

Answer:

y=-5x+45

Step-by-step explanation:

slope intercept form is : y=mx+b

5x+y=45

answer: y=-5x+45

Do long division for each fraction ✔️

Answers

Answer:

I just need points to ask a question of mt own sorry for not helping  

Step-by-step explanation:

Here is my answer for all three, hope this helps.
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