9514 1404 393
Answer:
(a) an = 2n -1
(b) an = n(n +1)/2
(c) an = n^2
Step-by-step explanation:
(a) The odd numbers are an arithmetic sequence with first term 1 and common difference 2. The general term is ...
an = a1 +d(n -1)
an = 1 + 2(n -1)
an = 2n -1
__
(b) The triangular numbers are a quadratic sequence with first term 1, first first difference 2, and second differences 1.
The first few terms and differences are ...
sequence: 1, 3, 6, 10, 15, 21, 28, ... (a1 = 1)
first diff: . . . 2, 3, 4, 5, 6, 7, ... (d1 = 2)
2nd diff: . . . . 1, 1, 1, 1, 1, ... (d2 = 1)
There is a sort of general formula* that can make use of these numbers to give the general term of the sequence:
an = a1 +(n -1)(d1 +(n -2)/2(d2))
For the values we have, this gives our general term as ...
an = 1 + (n -1)(2 +(n -2)/2(1))
an = n(n +1)/2
__
(c) The general term in the sequence of square numbers is simply the square of the term number:
an = n²
_____
* There are a number of other ways to get to the general formula for triangle numbers. You can search for it, since it is well-known. You can use a quadratic regression tool on the sequence of numbers. You can develop a system of equations to find the coefficients of the quadratic equation.
The general formula given can be used to find polynomial sequences of any degree. Coefficients at successive layers in the formula are of the form (n -k)/k. The first term in parentheses following that is the first k-th difference.
The local newspaper has letters to the editor from 80 people. If this number represents 5 % of all of the newspaper's readers, how many readers does the newspaper have?
Answer:
The newspaper has 1,600 readers.
5. John wants to make a scale drawing of a Dodge Viper. The length of the car is
approximately 9.5 feet. If he used a scale of 1 inch = 2 feet then what would the
length of the car be in the drawing?
Answer:
2.375 inches
Step-by-step explanation:
for every 2 feet, that is equivalent to 0.5 inches in the drawing. so count how many 2 feet in 9.5 feet first. there are 4.75.
mutiply 4.75 now by 0.5
that is 2.375 in inches
For the figure shown on the right, find the value of the variable and the measures of the angles
Me ayudas por favor con esto es para Hoy por favor es regla de ruffini apretá mi perfil y ve mi pregunta
The discount price of a hat is $18. What is the regular price if the store offers a 20% discount
Answer:
22.50
Step-by-step explanation:
because 18 divided by 4 is 4.5
then 18 plus 4.5 is 22.50
The dimensions of a square are 50 feet X
50 feet. Find the total area of the square.
Answer:
2500 square feet
Step-by-step explanation:
We know that the area of a square is = a*a
here a= 50 feet
area= 50*50
=2500 square feet.
show that 36 is a perfect square ny drawing a square with the are of 36
Answer:
Draw a square with each side labeled 6.
If each side is 6 than the number has to be a square.
WILL MARK YOU BRAINLIEST
Answer:
see in the picture, we have:
P is the midpoint of AB
Q is the midpoint of CD
=> PQ is the median line of the trapezoid ABCD
=> PQ = (BC + AD)/2 = (54 + 33)/2 = 43.5
prove that,
3(sinθ-cosθ)^4 + 6(sinθ+cosθ)^2 + 4(sin^6θ+cos^6θ) = 13
Answer:
turyufhgjgjkbx
Step-by-step explanation:
fxv⁴% dgfht56%%475&48
Jenny is saving for a vacation to the beach. How much interest will she earn if
she invests $600 at 4.25% simple interest for 10 years?
7.
8.
Review
Rachel sells oval pot planters. A
particular variety was priced at $109.
She sold 110 of the oval pot planters.
What was the total amount of money
she made from the sales?
109
#t
Answer:
$11,990
Step-by-step explanation:
$110x$109
correct me if im wrong :)
Matthew invested $5,300 in an account paying an interest rate of 2.1% compounded annually. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $6,020?
Answer: it would be 6
Step-by-step explanation
Delta math
Based on the information for the value of the account to reach $6,020? given it will take 6 years.
Value of account:Let x represent the number of years
(2.1%×5,300)x+5,300=6,020
111.3x+5,300=6,020
Collect like terms
111.3x=6,020-5,300
111.3x=720
Divide both side by 111.3x
x=720/111.3
x=6 years
Inconclusion for the value of the account to reach $6,020? given it will take 6 years
Learn more about value of account here:https://brainly.com/question/24852229
What's .99% x 10?
......
Answer:
My mom
Step-by-step explanation:
Answer: 0.099 i might be wrong so sorry if i am:/
Also i hope your day is going well UvU
here is a meme below to brighten your laughter
INTRODUCING LAYS NEW BRAND
ILL GIVE BRAINLY POINTS FOR THIS PLEASE HELP AND HURRY TO THANK YOUU
Answer:
1
Row 1: 445
Row 2: 541
Row 3: 637
2
349 + 4.80n
3
135
Step-by-step explanation:
1
For this, use the equation I gave you above to find the costs.
2
First, the cost of the printer will NOT change, for the number of printers Eddie needs to buy does not change, he only needs one. This already helps you figure out that 349 is not a coefficient to the variable, n. However, when it comes to the number of blank shirts Eddie needs to buy, the number of he gets does change, this is the dependent variable that makes the cost vary. Using the equation above, you can plug in any number.
For example, 20.
349 + 4.80(20) = 445
3
For this final part, I just kept using the equation until I got the closest number that is lower than 1000. In this case, 135 got me 997, and 136 was just a few decimals away from 1000, but it was still over.
Answer:
i donno
Step-by-step explanation:
expand 5⁴ WHAT IS THE ANSWER
Answer:
5x5x5x5=625
:)
Solid A is dilated using a scale factor of 2/5, resulting in Solid B. Solid B is also dilated using a scale factor of 2/5, resulting in Solid C. If the volume of Solid B is 72 3, what is the volume of Solid A and Solid C? Answer:
x
A field is in the form of a rhombus having each side 81 m and altitude 25 m. What is the side of a square
field which has the same area as that of the rhombus?
Answer:
the side of a square is 45 m
Step-by-step explanation:
The computation of the side of the square field that contains the similar area as compared with rhombus is given below:
As we know that
Area of rhombus = Base × Altitude
= 81 × 25
= 2025
And, area of Square = Side × side
2025 = side^2
side = √2025
= 45m
Hence, the side of a square is 45 m
6x244 by showing answer
Answer:
1464
Step-by-step explanation:
do:
200x6
40x6
4x6
then add them
the value of z varies jointly with x and y. if z=4 when y=20 and x=10, find the value of z when x=2 and y=68
1. z=2/3
2. z=17
3. z=0.50
4. z=2.72
Answer:
2.72
Step-by-step explanation:
7^2 + 5 + 8 + 9 =
plz help i am in six grade
Answer:
71
Step-by-step explanation:
plz mark brainlest
Help find x and y please
Answer:
Step-by-step explanation:
e has been found lol
You have decided to kick your Starbucks/Dutch Bros/Roaster's habit of buying a $5 drink every day. How much money would you have in your account if you deposited $5 each day in an account compounded daily earning 3% for 5 years?
show the work
• Aki scores twice as many points as Tyani.
• Tyani scores four points fewer than Nekeisha.
• Nekeisha scores three times as many points as
Mariana.
If Mariana scores 5 points, how many points did Aki
score?
Answer:
22
Step-by-step explanation:
reverse the order
(5×3)=15
(15-4)=11
(11×2)=22
The number of points Aki scored is 22 points.
Given that, Aki scores twice as many points as Tyani.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The numerical expression for the given situation is as follows:
Given that, Mariana scores 5 points
Nekeisha scores three times as many points as Mariana.
5×3=15
Tyani scores four points fewer than Nekeisha.
15-4=11
Aki scores twice as many points as Tyani.
11×2=22
Hence, the number of points Aki scored is 22 points.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ2
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Answer:
5/12
Step-by-step explanation:
Answer:
Step-by-step explanation:
10/24
I needddddd helpppp itsss dueeeeeeeeeee TODAY
Answer:
Term and Coefficcent
Step-by-step explanation:
Answer-
Term and constant (Or coefficient, Im not dat smart c: )
Explanation-
The x and z would be variables
Suzy is competing in a 651 mile long-distance bicycle race. In the first 3 and 1/2 hours she completed 54 and 1/4 miles. If she plans to ride 7 hours per day, how many days will it take for her to complete the race at that pace?
Answer: 6 days
Step-by-step explanation:
1. Multiply 54 1/4 by 2 (We are multiplying my 2 because 3 1/2 hours is half of 7 hours, so you have to multiply to see how much Suzy rode for 7 hours.
2. Now, divide 651 by the answer you get in step 1 to get your answer (simplify if necessary.)
=> 54 1/4 * 2 = 108 1/2
=> 651 / 108 1/2 = 6
I might be wrong but I hope this helps :)
which point is a solution to the system of equations below ?
y = 2x - 2
y = x + 2
A. (6, 4)
B. (1, 3)
C. (6, 1O)
D. (4, 6)
find the value of x
x=
9514 1404 393
Answer:
x = 65
Step-by-step explanation:
The sum of exterior angles of a polygon is 360°.
40 + x + 77 + 2x + 45 = 360
3x + 165 = 360 . . . . simplify
x + 55 = 120 . . . . . . divide by 3
x = 65 . . . . . . . . . . . subtract 55
457Δ is a 4-digit number with one of its digits represented by Δ. 457Δ is divisible by 3. Which of these is also a number divisible by 3?
Answer:
by divisibility rule of 3 for a no. to be divisible by 3 there is necessary condition that sum of all digit is divisible by 3.
so ans is 2 (smallest digit)
Solve for x 1/3 (x - 7) = -2 Enter your answer in the box. X =
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
how many solutions? y=9x+11 y=-9X+11
9514 1404 393
Answer:
1 solution: (0, 11)
Step-by-step explanation:
Each equation is in slope-intercept form. It is easy to see that the slopes are different and the y-intercepts are the same.
The fact that the slopes are different means there is one solution.
The fact that the y-intercepts are the same means that solution is the y-intercept.