The common difference between each term is -5. The nth term of the sequence as follows: aₙ = 18 - 5(n-1)
The given sequence is 18, 13, 8, 3, -2.
To identify the pattern in the sequence, we can observe that each term is decreasing by 5. Starting from 18, we subtract 5 to get the next term, and so on. The common difference between each term is -5.
Using this pattern, we can continue the sequence as follows:
-2 - 5 = -7
-7 - 5 = -12
-12 - 5 = -17
-17 - 5 = -22
The extended sequence would be -2, -7, -12, -17, -22.
In terms of the general formula, we can represent the nth term of the sequence as follows:
aₙ = 18 - 5(n-1)
For more such questions on sequence
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Is this graph a function?
Answer:
Depends; it is a function of y because each y value maps out to only 1 x value, but it is not a function of x, because for x = 3 y maps out to infinite values.
How can credit cards be more secure than cash?
Answer:
carrying cash can be risky and theres a chance of loosing some. a card is thin and easy to carry around and keep track of.
Step-by-step explanation:
-20x + 27? Can anyone
Answer:
-20x + 27
Step-by-step explanation:
it will remain the same
Answer:
you cant simplify or factorise it.
The area of Joe's square yard is 196 square meters. Since his house is on one side of the yard, Joe only needs to fence the other three sides of the yard. How many meters of fencing does Joe need to enclose his yard? (Number answer only, no units.)
Answer:
42
Step-by-step explanation:
So are is length times width,
since we are dealing with a square, then the length and the width are congruent
so we can say that, for this case:
a = length * length
hence
196 = length^2
14 = length
and
14 = width
since only 3 sides of this square are needed, one only has to multiply the length by 3
14 * 3
=42
so only 42 meters of fencing are needed
when sediment is transported down a mountain and along a stream we are seeing the conservation of what
Answer:
The answer is matter.
I need help 1.09 divided by 3.08 show your solution Thank you so much if u helpt me
Answer:
answer will be 0.3538Step-by-step explanation:
[tex] \frac{1.09}{3.08} = 0.3538[/tex]
Do you line the decimals when subtracting a decimal problem???
Answer: Yes
Yes, you always have to line the decimals when you subtract decimals.
Example:
0.65
-0.25
------------
0.45
Hope this helps!
Kasey has 8 packages of gelatin. She plans to fill molds that each take 113 packages of gelatin.
Each mold can be divided into 6 servings. How many servings of gelatin can Kasey make?
Enter your answer in the box.
servings = 6
molds = 113
package = 8
servings make = 113÷6=18.83
1+1 is what??? Plz answer
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Common Sense
Hope it helps???
Mya tests out her new drone by sending it farther and farther away before dropping it to the ground. These distances follow the arithmetic sequence 11 m, 22 m, 33 m, ..., 77 m. What is the total distance that Mya's drone travels during the tests?
Answer:
308m
Step-by-step explanation:
11+22+33+44+55+66+77=308
The following linear system is to be solved using a
substitution method.
x = 4y - 94
3x + 8y = 218
After the initial substitution, the resulting expanded
equation would be
A. 12y – 282 +8y = 218
B. 3x + 32y – 94 = 218
C. 3x + 32y – 752 = 218
D. 12y - 94 + 8y = 218
Answer:12y-282+8y=218
Step-by-step explanation:
easy please help 8th grade math
Answer:
x ≥ 0
Step-by-step explanation:
hope that helps
I WILL GIVE A 100 POINTS AND BRAINLEIST, TO THE PERSON WHO TELLS ME THE BEST PICKUP LINE. HAS TO BE THE BEST ONE!!
Answer:
I'm no photographer, but I can picture us together.
Step-by-step explanation:
Do you know CPR? Because you are taking my breath away!
s = vt + 16t2 for v.
Answer:
s = vt + 16t^2
s -16t^2 = vt
s/t -16t = v
Answer:
v = s/t -16t
Step-by-step explanation:
Solve for a. Show your work (ALL steps must be shown): -2(a-3)=12
Answer
a= -6
Step-by-step explanation:
-2(a-3)=12
1.) -2(a)= -2a
2) -2(-3)= 6
3) -2a+6=12
-6 -6
4) -2a/-2 = 12/-2
a = -6
A phone company charges a monthly rate of $60 and $0.10 per text sent . Tara sends 100 text messages this month . How much is her phone bill b, going to cost ?
Answer:
Taras phone bill will be 70 doll hairs.
Step-by-step explanation:
100x.10=10
10+60
70
hope this helps!!!
Answer:
70 dollars
Step-by-step explanation:
0.10 times 100 is 10 dollars. 60 plus 10 equals 70 dollars a
April has 196 stickers. Meredith has 3 times as many stickers. Use rounding to estimate the number of stickers that Meredith has.
Answer:
588 or 590if rounding to tens
Step-by-step explanation:
Which inequality is equivalent to the given inequality? -4(x+7)< 3(x-2)
Answer:
x > -22/7
Step-by-step explanation:
To find out which inequality is is equivalent, you solve for x.
-4(x+7) < 3(x-2): distribute variables
-4x-28 < 3x-6: Add 6 to both sided
-4x-22 < 3x: add 4x to both sides
-22 < 7x: divide by 7
-22/7 < x: you can switch sides if prefered but you have to switch sign too
x > -22/7
Red Riding Hood drives the 432 miles to Grandmother's house in 1 hour less than it takes the Wolf to drive the same
route. Her average speed is 6 mph faster than the Wolf's average speed. How fast does Red Riding Hood drive?
a. 48 mph
c. 50 mph
b. 54 mph
d. 45 mph
Answer:
The answer is B- 54 mph
Step-by-step explanation:
Edge
Answer:
B 54mph
Step-by-step explanation:
took the test and got it correct
convert the decimal below to a fraction in simplest form 0.745
Answer: 149/200
Step-by-step explanation:
Hope this helps
Joseph is making kebabs.he wants each kebab to have 3 pieces of meat and 4 pieces of vegetables.Which of the following could Joseph use to make kebabs without any leftovers?
Answer: Joseph could use C), D), and E) to make kebabs without any leftovers:
C) 30 pieces of meat and 40 pieces of vegetables
D) 45 pieces of meat and 60 pieces of vegetables
E) 72 pieces of meat and 96 pieces of vegetables
How were the answers determined? To solve for the answer, here are some pointers:
Consider the given which states that each kebab has 3 pieces of meat and 4 pieces of vegetables, and Joseph wanted to make kebabs without any leftovers - meaning, there should be no extra piece of meat or no extra piece of vegetable.
In choosing which is the answer, make sure that the number of pieces of meat must be divisible by 3 (pieces of meat), and the number of pieces of vegetables must be divisible by 4 (pieces of vegetables). This was also based on the given.
Moreover, the quotient for meat and the quotient for vegetables must be equal to each other so that there will be no leftovers.
Therefore, the answers are C), D), and E) because these three answers satisfy the conditions abo
Step-by-step explanation:
anyone can help me this thankyou
Answer:
s² - 225 = 0
Step-by-step explanation:
Area of square = side * side
s * s = 225
s² = 225
s² - 225 = 0
Which fraction is BIGGER?
-7/10 or -4/5
Hello.
Negative numbers closest to 0 are the greatest.
-7/10 is farther away from 0 than -4/5 is.
-7/10 < -4/5, so -4/5 is the bigger fraction.
One example of consecutive odd integers would be 3, 5, 7, 9, ...
If the first consecutive odd integer is represented by x, which algebraic expression represents the second
consecutive odd integer?
____
Which expression represents the third consecutive odd integer?
____
The answers are
X+2
X+4
Answer:
1.) x+2
2.) x+4
Step-by-step explanation:
I got it right on Edge, hope this helps
The expression represents the second consecutive odd integer is X + 2
and for the third consecutive odd integer is X + 4.
What are integers?All whole numbers and negative numbers are considered integers. This means that if we combine negative numbers with whole numbers, a set of integers is formed.
An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.
Given One example of consecutive odd integers would be 3, 5, 7, 9, ...
the difference between 2 consecutive numbers is
5 - 3 = 2
when X is the first odd integer,
the second consecutive odd integer is X + 2
difference between 3rd and first digit is
7 - 3 = 4
the third consecutive odd integer is X + 4
Hence adding the consecutive even numbers to the first digit of odd numbers gives the consecutive odd numbers.
Learn more about integers;
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A toy box contains eight green balls and four purple balls. Suppose you choose a ball at random and then replace it by putting it back in the toy box. You then choose a second ball. What is the probability that you have selected a green ball and then a purple ball?
Option A: 2/9
Option B: 1/2
Option C: 1/3
Option D: 2/3
Answer: C. [tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
Given: Box contains 8 green balls and 4 purple balls.
Total balls = 8+4 = 12
event 1 = first picking green ball
event 2 = second picking purple balls.
As first ball was replaced, that means both events are independent.
Probability that you have selected a green ball and then a purple ball = P(purple ball )
Formula for probability = [tex]\dfrac{\text{favorable outcomes}}{\text{total outcomes}}[/tex]
Probability of selecting a purple ball (second pick)= [tex]\dfrac{4}{12}[/tex]
[tex]=\dfrac{1}{3}[/tex]
The required probability [tex]=\dfrac{1}{3}[/tex], so C is correct option.
Answer:
2/9
Step-by-step explanation:
PJ= PG * PP = 2/3 * 1/3 = 2/9
multiply (2x – 3)(x2 – 5x + 3)
Answer:
(2x2- 10x2+ 6x -3x2 + 15x -9) simplified to (-12x2+21x-9)
Step-by-step explanation:
I could explain but you would just be confused because I did it in my head and I don't do it the way they teach us to if you want to make sure my answer is right you should be able to simplify my simplified version back into the original problem
True or False: Two negatives = a negative when adding and subtracting rational numbers.
Answer:
When subtracting rational numbers we follow the rules for subtracting integers. CHANGE the sign of the second number to the opposite, positive becomes negative, negative becomes positive
Step-by-step explanation:
Some hotdogs come in packages of eight why would a baker of hot dog buns package seven hot dog to a package
Answer:
Some hot dogs come in packages of 8.
A baker of hot dog buns package 7 hot dog buns to a package.
So, on every hot dog the baker will earn have a profit of price of one hot dog
Suppose, baker bought 8 packets of packages of 8 hot dogs.
He will have profit of 8 hot dogs
Because if he is selling 8 packets of packages of 7 that means he will earn profit of price of 8 hot dogs.
Step-by-step explanation:
If each unit on the coordinate plane represents one mile, what is the total distance the truck travels on its route?
Answer:
36.16 miles
Step-by-step explanation:
A recycling truck begins its weekly route at the recycling plant at point A, as pictured on the coordinate plane below. It travels from point A to point B, then points C, D, and E, respectively, before returning to the recycling plant at point A at the end of the day. The truck’s route is illustrated on the coordinate plane below. If each unit on the coordinate plane represents one mile, what is the total distance the truck travels on its route?
Answer:
The distance between two points X([tex]x_1,y_1[/tex]) and Y[tex](x_2,y_2)[/tex] is given as:
[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
From the image attached, the coordinates of the plane are:
A(-1, -1), B(1, -1), C(5, 2), D(0, 13), E(-5, 2).
The lengths are:
[tex]|AB|=\sqrt{(1-(-1))^2+(-1-(-1))^2}=2\ units\\ \\|BC|=\sqrt{(5-1)^2+(2-(-1))^2}=5\ units\\\\|CD|=\sqrt{(0-5)^2+(13-2)^2}=12.08\ units\\\\|DE|=\sqrt{(-5-0)^2+(2-13)^2}=12.08\ units\\\\|AE|=\sqrt{(-5-(-1))^2+(2-(-1))^2}=5\ units[/tex]
But 1 mile = 1 unit
Total distance = |AB| + |BC| + |CD| + |DE| + |AE| = 2 + 5 + 12.08 + 12.08 + 5 = 36.16 miles
TIME REMAINING 56:08 Which point is located at (2, 3)? On a coordinate plane, point A is 3 units to the right and 2 units up. Point B is 2 units to the right and 2 units up. Point C is 2 units to the right and 3 units up. Point D is 3 units to the right and 3 units up. A B C D
Answer:
C
Step-by-step explanation:
A would be (3, 2)
B would be (2,2)
C would be (3,2)
And
D would be (3,3)
