What are the next three terms of the arithmetic sequence -18, -13, -8, -3,…?
a.
-8, -13, -18
c.
2, 7, 12
b.
3, 8, 13
d.
0, 5, 10
Answers
Answer:
C
Step-by-step explanation:
Its adds 5 each time
The next three terms of Sequence is 2, 7, 12.
What is Sequence?A grouping of numbers in a specific order is known as a sequence. On the other hand, a series is described as the accumulation of a sequence's constituent parts.
Each number in the sequence is called a term. In the sequence 1, 3, 5, 7, 9, …, 1 is the first term, 3 is the second term, 5 is the third term, and so on.
Given:
-18, -13, -8, -3,…
Now, the common difference = -13 - (-18)= -13 + 18 = 5
So, the formula for nth term will be
[tex]a_n[/tex] = -18 + 5(n-1)
Then, n= 5th term
[tex]a_n[/tex] = -18 + 5(5-1)
[tex]a_n[/tex] = -18 + 5(4)
[tex]a_n[/tex] = -18 + 20
[tex]a_n[/tex] = 2
and, n= 6th term
[tex]a_n[/tex] = -18 + 5(6-1)
[tex]a_n[/tex] = -18 + 5(5)
[tex]a_n[/tex] = -18 + 25
[tex]a_n[/tex] = 7
and, n= 7th term
[tex]a_n[/tex] = -18 + 5(7-1)
[tex]a_n[/tex] = -18 + 5(6)
[tex]a_n[/tex] = -18 + 30
[tex]a_n[/tex] = 12
Hence, the next three terms are 2, 7, 12.
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Related Questions
If y=80 when X =8 what is the value of y when x=12
Answers
Answer:
y=120
Step-by-step explanation:
y=80 when ×=8 because 8 × 10 = 80
therefore multiplying 12 by 10 gives us 120
Answer:
y=120 when x=12
Step-by-step explanation:
From the pattern I noticed that y is pretty much 10 times the value of x. So when x equals 12, y will equal 120.
Hope this helps. Please mark me brainliest.
What is 1,675 rounded to the hundreds place?
Worth 26 points
Who ever answer first will be marked brainiest
Answers
Answer:
1700
Step-by-step explanation:
Because it is above 1650, round up into the hundreds place, so it makes 1700!
If it is 1649 or below, you would round down to 1600.
Note: The hundreds place is the 3rd from the right, so use the two from the right to round!
2 intersecting lines are shown. A line with point T, R, W intersects a line with points S, R, V at point R. Clockwise, from the top left, the angles are (2 x + 10) degrees, blank, blank, (x minus 10) degrees. What is the measure of angle TRV? 20° 50° 60° 130°2 intersecting lines are shown. A line with points M, H, K intersects a line with points J, H, L at point H. 4 angles are created. Clockwise, from the top, the angles are blank, (x + 15) degrees, blank, (2 x minus 20) degrees. What is mAngleMHJ? 35° 50° 72.5° 92.5°
Answers
Answer:
Step-by-step explanation:
a) sum of angle on the straight line TRW is 180.
Given <TRS = 2x+10
<SRW = x-10
<TRS+<SRW = 180
2x+10+x-10 = 180
3x = 180
x = 180/3
x = 60°
<TRV = 180°-(2x+10)
Substitute x = 60° into the expression
<TRV = 180-(2(60)+10)
<TRV = 180-(120+10)
<TRV = 180-130
<TRV = 50°
2) From the diagram attached <MHJ= <LHK (oppositely directed angle)
Given
<MHJ= x+15
<LHK = 2x-20
Substitute the given data into the formula to get x
x+15= 2x-20
x-2x = -15-20
-x = -35
x = 35°
Next is to get the measure of <MHJ
<MHJ = x+15
<MHJ = 35+15
<MHJ = 50°
HELP PLEASE ASAP!! THANKS!
Answers
explanation: functions can’t have more than one domain for each range
What is the measure of angle 7?
Answers
Answer:
The measure of angle 7 is 155*.
Step-by-step explanation:
How you would find the empirical probability of rolling a 2 on a die?
Answers
Answer:
it's a 1 in 6 chance/possibility
The Piney Creek Swim Club is preparing for the opening day of the summer season. The pool holds 22,410 gallons of water, and water is being pumped in at 540 gallons per hour. How many hours will it take to fill the tank? Please write your answer in the following format: number + hours (for example, 5 hours)
PLEASE HELP!
Answers
Answer:
4.15 hours
Step-by-step explanation:
540x = 2240
Divide
x = 4.14814815
Answer:
4.15 hours
Step-by-step explanation:
You score 84 points in six games. How much do you score per game? Write your answer in unit rate form
Answers
Answer
14 points/1 game
Which is equal to 14 points per game.
Step-by-step explanation:
1/3x + y = 4 solve for y
Answers
Explanation:
y=4-1/3
y=12-1/3
y=11/3
determine the vertex of the function y=|x+5|-2
Answers
EXPLANATION: The vertex is the maximum or minimum point of the graphed equation. Typically to find the Vertex of the function, you need to graph it and see where the graphed equation is at its ultimate high or ultimate low. hope this helps you in the future :)
bird that was perched atop a 15 ½ foot tree dives down six feet to a branch below. How far above the ground is the bird’s new location
Answers
Answer:
ok so if the bird is on the top at 15 and a half then goes down six feet substrate 15 and a half from six and you get nine and half from the ground to the bird
Step-by-step explanation:
Plz help me with this I have no idea what to do
Answers
I need help fast please
Answers
Answer:
What is the question?
Step-by-step explanation:
What’s the question
-16x = - 352 step equations
Answers
Answer:
x = 22Step-by-step explanation:
-16x = - 352 divide by -16 both sides
x = -352/-16
x = 22
Answer:−16x=−352
Divide both sides by −16.
x= −352/−16
Divide −352 by −16 to get 22.
x=22
Step-by-step explanation:
Which equation represents a line which is parallel to the line y=-7x-4
Answers
Answer:
i think this is a pemdas solution.
Step-by-step explanation:
Answer:
7x+y=−1
Step-by-step explanation:
Ben started riding his bike at 10:05 A.M. He stopped 23 minutes later
when his friend Robbie asked him to play kickball. At what time did
Ren ston riding his bike?
Answers
Answer:
10:28 A.M.
Step-by-step explanation:
5 plus 23 equals 28
State the slope of a line parallel to
y = 3.75
Answers
m = 0
Step-by-step explanation:
If it's written in y =mx + c form, x is 0 and so is m.
Thus, m should be 0
How many solutions exist for the given equation?
0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)
zero
one
two
infinitely many
Answers
Answer:
its b lol
Step-by-step explanation:
jus got it right
There is only one solution which is x = -370 to the given equation 0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20) option B is correct.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
We have a linear equation in one-variable:
0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)
0.75(x + 40) = 0.7(x + 20)
75(x + 40) = 70(x + 20)
75x = 70x - 1600
x = -370
Hence, there is only one solution which is x = -370 to the given equation 0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20) option B is correct.
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15 POINTS!
What is the correct answer for Landon's problem? Explain where he went wrong.
Answers
Manit has been working with the function
[tex]f(x) = a(x - h)3 + k[/tex]
He chose values for a, h, and k, graphing the function, and then chose just one of those parameters to change. Each time he changed the parameters, he graphed the function again. But he can't remember which parameter he changed. Was it a, h, or k? Determine which parameter he was working with and justify your decision.
Answers
Answer:
a
Step-by-step explanation:
A shop sells matching hats and scarves.The scarves cost 1.5 times as much as the hats.Write two patterns that could represent the cost of 1234 and 5 hats and scarves.List the first 5terms of each pattern.Then explain how to find the cost of 6hats and scarves,using the patterns you wrote u
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Let Cost of hats = h
Cost of scarves = 1.5h
Hence if hats cost $h, then the cost of scarves will be; (1.5 * h)
Using tables :
If the cost of an hat = $2
Hence,
N _____cost of hat(h) ____cost of scarve
1_______2*1 = 2 _________1.5(2) = 3
2______2 *2 = 4 _________1.5(4) = 6
3______2*3 = 6 _________1.5(6) = 9
4 ______ 2*4 = 8 ________1.5(8) = 12
5 ______2 *5=10 ________1.5(10) = 15
Cost of 6 hats and scarve:
Cost of hat:
2 * 6 = $12
1.5h = 1.5(12) = $18
What is the slope of a line perpendicular to the line whose equation is
12x + 2y = –12. Fully reduce your answer.
Answers
The slope of the line is - 6. Then the slope of the perpendicular line will be 1/6.
What is the equation of a perpendicular line?If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m. The equation is in the form of slope-intercept form. Then the equation of the line is given as
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The equation of the line is given as,
12x + 2y = - 12
Convert the equation in the slope-intercept form, then the equation will be given as,
Separate the variable y, then the equation is given as,
6x + y = - 12
y = -6x - 12
The slope of the line is - 6. Then the slope of the perpendicular line will be 1/6.
More about the equation of a perpendicular line link is given below.
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30 pts plz help/ i spent 2000 to get brownie town up and running. we make all sort of brownies . we make all sort of brownies . some how peanuts .some have chocolate ship, and other have icing every moth I earn 200 from brownie town sales
Answers
Answer:
The equation is Y= -200 x -2000
Step-by-step explanation:
They spent 2000$ so that would be -2000 and every month they earn 200 by selling brownies, so just add -2000 every time on the chart under “Money earned” and the last number should be 600 :).
Answer:
Step-by-step explanation:
The equation is Y= -200 x -2000
Step-by-step explanation:
They spent 2000$ so that would be -2000 and every month they earn 200 by selling brownies, so just add -2000 every time on the chart under “Money earned” and the last number should be 600 :).
7th GRADE WORK!!! ILL BRAINLIST!!!
Answers
Answer:
I think the answer is D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
1/20=0.05
12*0.05=3/5
2(x - 3) =
Your answer
Answers
Step-by-step explanation:
first you have to multiply 2 and x, which is 2x
And Then you do 2x-3 which is -x
- the Question is not specific.
please can you help
i need it badly
Answers
Answer:
a)Step-by-step explanation:If we put all of it together we have the factors 3 x 5 x 5 x 5 = 375. It can also be written in exponential form as 31 x 53
b)the highest common factor of 375 is 3X5X5X5
the highest common factor of 150 is 3X5X2X5
Need help ASAP!! Tysm
Answers
Answer:
-86
Step-by-step explanation:
12 - -7^2(2)
12 - 49(2)
12-98
-86
Answer:
-86
Step-by-step explanation:
Plug in the values of x and y: [tex]12 -(-7)^{2}2[/tex] Simplify: [tex]12 - 7^{2}2[/tex] [tex]7^{2}[/tex] = 7 × 7 = 49Plug 49 in: 49(2)49(2) = 49 × 2 = 9812 - 98 = -86I hope this helps!
A store is holding a grand opening promotion. Every 3rd customer receives a free key chain and every 4th customer receives a free magnet. Which customer will be in the first to receive both a key chain and a magnet?
Answers
Answer:
12th Customer
Step-by-step explanation:
We have to find the lcm (lowest common multiple) of the number.
We do that by taking their multiples. Watch down below
3 x 1 = 3 4 x 1 = 4
3 x 2 = 6 4 x 2 = 8
3 x 3 = 9 4 x 3 = 12
3 x 4 = 12
See how they both have a 12 as their first lcm.
So the 12th customer gets both items.
Glad to help!
Jada says “I know 4 nickels and 7 dollar coins weigh 76.7 grams. I know 4 nickels and 5 dollar coins weigh 60.5 grams. Here’s what else I can figure out based on that: 2 dollar coins weigh 16.2 grams. How did jada figure out that 2 dollar coins weigh 11 grams?
Answers
Answer:
im from the uk what are nickles and dimes
Step-by-step explanation:
find the number.round to the nearest tenth if possible.95%of40
Answers
Answer:
40
Step-by-step explanation:
95 percent of 40 is 38
round to the nethest tenth and you got 40
have a wonderful day