8
The first term of an arithmetic sequence is 5. The third term of the sequence is 13.
Which of the following expressions represents the nth term of the sequence?
A 4n +1
B) 4n + 5
5n+1
D) 5n + 5
Answer:A 4n+1
Step-by-step explanation: found the answer key
If the first term of an arithmetic sequence is 5 and the third term of the sequence is 13 then the nth term is A) 4n +1.
What are arithmetic and geometric sequence?An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference(d).
aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.
In a geometric sequence numbers are written in the same constant ratio(r).
It means every next number is a multiple of a common constant and the previous number.
aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.
Given, The first term of an arithmetic sequence is 5.
The third term of the sequence is 13.
As we can conclude that for 2 terms the common difference is increased by 8.
∴ Common difference (d) = 8/2 = 4.
Now, we know the nth term of an arithmetic sequence is,
aₙ = a₁ + (n - 1).d.
aₙ = 5 + (n - 1)×4.
aₙ = 5 + 4n - 4.
aₙ = 4n + 1.
learn more about arithmetic sequence here :
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please answer fast
Choose the point-slope form of the equation below that represents the line that passes through the points (-3, 2) and (2, 1).
y + 3 = -5(x - 2)
y-2--5(x + 3)
y+3 -- - 2)
y-2-(x+3)
Evaluate g(2) =
[tex]g(2) =[/tex]
Step-by-step explanation:
question is not clear
Help math question 1 ,2 ,3 grade 12
Answers:
1.
a. 20%
60/300 × 100/100
= ( 60 × 100 / 300 ) × 1/100 = 20/100
Calculator: 60 ÷ 300 × 100
b. 90%
270/300 × 100/100
270/300 × 100/100= ( 270 × 100 / 300 ) × 1/100 = 90/100
Calculator: 270 ÷ 300 × 100
c. 58.33%
175/300 × 100/100
100/100= ( 175 × 100 / 300 ) × 1/100 = 58.33/100
Calculator: 175 ÷ 300 × 100
2.
a. 35 Students
Calculator: 10 × 350 / 100
b. 93
Calculator: 10 × 930 / 100
c. 118
Calculator: 10 × 1180 / 100
d. 1036
Calculator: 10 × 10,360 / 100
3.
a. 11.1 (Repeated)
Calculator: 50 / 450 × 100%
b. 6.67 (6 Repeated)
Calculator: 50 / 750 × 100%
c. 4.167 (6 Repeated)
Calculator: 50 / 1200 × 100%
Hopefully this helps:)
6x-5=4x+1
x=6
x=0.5
x=2
x=3
A painter charges a flat fee of $100 and $35 per hour (for up to 8 hours), h, that he spends painting. This relationship can be represented by the function f(h)=100+35h where f(h) represents the total amount the painter charges.
Answer:
I don't know
Step-by-step explanation:
But the question you asked i think you have add and stuff
what is the slope of this line ?
Answer:
1 I think
Step-by-step explanation:
Change in y
--------------------
Change in x
Find the total cost to the nearest cent.
$16 haircut; 15% tip
Examine the intersection of these two lines:
Which of the following pairs of angles are
supplementary? Select all that apply.
Answer:
You can't answer this question since there is no picture. Remember though the any 2 angles that make 180 degrees or resembles a line is 180 degrees.
Help0oejelensb skeidnekendidne helps 10101
Answer:
b = (looks to be) -3.5
m = [tex]\frac{1}{2}[/tex]
Type of Slope = Positive, linear
Equation = y = [tex]\frac{1}{2}[/tex]x - 3.5
What is an equation of the line that passes through the points (-3, -2)(−3,−2) and (3, 6)(3,6)? Put your answer in fully reduced form.
Answer:
The equation of the line is y = [tex]\frac{4}{3}[/tex] x + 2
Step-by-step explanation:
The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where
m is the slope of the line whose rule is [tex]m=\frac{y2-y1}{x2-x1}[/tex] b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)Let us solve the question:
∵ The line passes through the points (-3, -2) and (3, 6)
∴ x1 = -3 and x2 = 3
∴ y1 = -2 and y2 = 6
→ Use the rule of m to find it
∵ [tex]m=\frac{6-(-2)}{3-(-3)}=\frac{6+2}{3+3}=\frac{8}{6}[/tex]
→ Simplify it by dividing up and down by 2
∴ m = [tex]\frac{4}{3}[/tex]
→ Substitute its value in the form of the equation above
∴ y = [tex]\frac{4}{3}[/tex] x + b
→ To find b substitute x and y by x1 and y1
∴ -2 = [tex]\frac{4}{3}[/tex] (-3) + b
∴ -2 = -4 + b
→ Add 4 to both sides
∴ -2 + 4 = -4 + 4 + b
∴ 2 = b
→ Substitute it in the form of the equation
∴ y = [tex]\frac{4}{3}[/tex] x + 2
∴ The equation of the line is y = [tex]\frac{4}{3}[/tex] x + 2
Pls help me. I need help
Answer:
x= horizontal y=verticalsolve for x ! I need help
Answer:
x = 47°
Step-by-step explanation:
This is an exterior angle property, one of the properties in a triangle. The exterior angle theorem states that if a triangle's side gets an extension, then the resultant exterior angle would be equal to the sum of the two opposite interior angles of the triangle.
Answer:
x=45.6
Step-by-step explanation:
(2x-2)+x+45=180
Combine like terms.
3x+43=180
Subtract 43 on both sides.
3x+43=180
-43 -43
3x=137
Divide by 3 on both sides.
3x=137
/3 /3
x=45.6
(I'm not sure if it's right because it's a decimal, but...)hope this helps!!!!! Have an amazing day c:
What is the final price of a $125 jacket that is on sale for 35% off?
Answer:
$81.25
Step-by-step explanation:
first change the percent into a decimal by moving the point 2 spaces to the left. then multiply that decimal by the asnwer to see how muhc money she's getting off. Finally subtract the total by that number.
which statement correctly describes the relationship between the graph of f(x) and the graph of g(x)=f(x)+3? read answers above
Answer:
the first one
Step-by-step explanation:
g(x) is f(x) plus 3, so it is being translated up
6th grade mathematics
Answer:
and?
Step-by-step explanation:
how did you get the product of sum and differences of terms?
Answer:
Step-by-step explanation:
The the terms be x and y
The sum of the terms = x+y
Difference of terms = x-y
Product of the sun and differences will be expressed as:
(x-y)(x+y) = x²-xy+xy-y²
(x-y)(x+y) = x²-y²
Hence the product of the terms is equivalent to the difference of two squares of the terms
The point (5, -6) is reflected over the x-axis. What are the new coordinates of the reflection?
Answer:
(5,6)
Step-by-step explanation:
since it is reflected over x axis, y value will flip sign
Lines ℓ and m are intersected by transversal t. ℓ ∥ m. Lines l and m are horizontal with l above m and intersected by transveral t. Angles 1, 2, 3, and 4 are formed where t intersects l with 1 and 3 above l from left to right and 2 and 4 below it. Angles 5, 6, 7, and 8 are formed where t intersects m with angles 5 and 7 above line m from left to right and 6 and 8 below it. If m∠4 = 105, what is m∠5?
Answer:
<5 = 105 degrees
Step-by-step explanation:
From the description given, since line l is parallel to m then <4 is alternate to <5 and two alternate angles are equal, if thst is the case
<4 = <5 (alternate angle)
Since <4 = 105 degrees, hence m<5 = 105 degrees
CHOP CHOP PLZ HURRRYYYYY I WILL POST ONE MORE QUESTION FOR 20 POINTS AND BRAILY CHOP CHOP PLZ
Answer:
given, verticals angle thm, definition of supplementary, {you need to see the pic for it}, substitution, and you need to see the pic for the rest so i can’t help
can you go answer my question tho
Step-by-step explanation:
Town M is 282 feet below sea level. Town R is 679 feet above sea level. How much higher, in feet is Town R than M?
Given parameters:
Elevation of Town M = 282ft
Elevation of Town R = 679ft
Unknown:
How much higher is Town R than M = ?
Solution:
Town M lies below the sea level whereas Town R is above the sea level.
Graphically:
Town R 679ft
↑
↑
↑
↑
↔↔↔ Sea level
↓
↓
Town M 282ft
Town R is 282ft + 679ft higher than Town M = 961ft
Find the value of x in the triangle shown below.
Choose 1 answer:
Answer:
D
Step-by-step explanation:
you already have the hypotenuse, you're looking for a way to find one of the sides. well 7 squared is 49 and 2 squared is 4. 49-4 is 45 and you can't take the square root of 45 evenly so you leave it under the radical, aka D, your answer.
Find the LCM.
5, 20, 68
the expression below gives the cost of green beans(x) and cucumbers (y). what is the cause of 6 bunches of green beans and 4 cucumbers? .79x+0.99y
This is my explanation thus sucks and half the timem you guys dont even have the right answer . So this is my answer for you at leatst try to get it tight because if you dont try you wont suceed
For what values of x is the equation true? (Form 1st!)
x^2-4x=32
Answer:
It can be solved in many forms
one by replacing each point to see which one satisfy the equation or by using quadratic formula
so the right answer is the fourth one
Just solve for 50 points and brainliest!
10-5+3=
6-4+10=
Answer:
(1) 8 (2) 12
Step-by-step explanation:
PEMDAS
Solve the following system using substitution.
6x + 3y= - 12
y= -2x -6
(3,-12)
no solution
infinitely many solutions
(2,0)
Answer:
No solution
Step-by-step explanation:
if you replace the y with -2x-6 into the first equation, you will get rid of the x's which it gives you the hint that there is no solution.
HELP ME PLZZZZZZZZZZZZZZZZZ!!!!!!!!!!
Answer:
45
Step-by-step explanation:
I multiplied 7 x 9 and got 63 so I figure 5 x 9 is right.
The highest temperature recorded in the town of Westgate this summer was 100°F. Last
winter, the lowest temperature recorded was -1°F. Find the difference between these
two extremes.
Answer:
101
Step-by-step explanation:
100- (-1) NEGATIVE MINUS NEGATIVE CANCEL OUT ON EACH OTHER AND GIVE POSITIVE: 100 + 1 = SO THE ANSWER IS 101^F
The difference between these two extreme temperatures is of
101° F.
We have the highest temperature recorded in the town of Westgate which is equal to 100°F. Last winter, the lowest temperature recorded was -1°F.
We have to find the difference between these two extremes.
What is Temperature ?Degree of hotness or coldness measured on a definite scale is called Temperature. When the temperature of the body is high it is called hot body and when it is low it is called cold body.
According to question, we have -
Highest temperature recorded = 100°F
Lowest temperature recorded = -1°F
Let the the difference between these two extreme temperatures be x. Then -
x = Highest temperature recorded - Lowest temperature recorded
x = 100 - (- 1) = 101° F
Hence, the difference between these two extreme temperatures is of
101° F.
To solve more questions on Temperature variations, visit the link below-
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{(-2, 6), (2, 0), (3, 6), (4, -1), 5, 3)}
Dom:
Range:
Function?
Answer:
Domain = {-2, 2, 3, 4, 5}
Range= {6, 0, 6, -1, 3)
It is a function
Step-by-step explanation:
It is a function because there is only one y value for each x value