Answers
Answer:
1/2, 2, 9/2, and 8.
Step-by-step explanation:
In this case, we have an explicit rule.
So, to find the nth term, we can simply substitute a value into our function and evaluate.
For the first term, n=1. Thus:
[tex]f(1)=\frac{(1)^2}{2}[/tex]
Evaluate:
[tex]f(1)=\frac{1}{2}[/tex]
Hence, our first term is 1/2.
For the second term, n=2. Thus:
[tex]f(2)=\frac{(2)^2}{2}[/tex]
Evaluate:
[tex]f(2)=\frac{4}{2}=2[/tex]
Hence, the second term is 2.
For the third term, n=3. Thus:
[tex]f(3)=\frac{3^2}{2}=\frac{9}{2}[/tex]
So, the third term is 9/2.
And for the fourth term, n=4. Thus:
[tex]f(4)=\frac{4^2}{2}=\frac{16}{2}=8[/tex]
Therefore, the fourth term is 8.
Hence, our first four terms are: 1/2, 2, 9/2, and 8.
Related Questions
rewrite in simplest terms : -6u-2(-7u+10)
Answers
The average daily attendance at the Lincoln school was 348 students during the month of March. If the month has 21 school days what was the total attendance?
Define a variable, write an equation, then solve.
Answers
Answer:
7308
Step-by-step explanation:
348 times 21 = 7308
Sorry if this is wrong.
The length of a rectangle is represented by 4 + 6x. The width is half the length. What expression represents the perimeter of the rectangle? Explain your reasoning
Answers
Answer:
12+18x is the perimeter
Step-by-step explanation:
4+6x+4+6x+1/2(4+6x)+1/2(4+6x)=
3(4+6x)=
12+18x
What’s the combined average of Altuve’s weighted average below:
Friday 3 for 5, Saturday 2 for 4, and Sunday 1 for 3
Answers
Answer:
The combined average of Altuve's weighted averages is 1 for 2 or 1/2
Step-by-step explanation:
Combined Average
On Friday, Altuve had 3 out of 5 successes
On Saturday, Altuve had 2 out of 4 successes
On Friday, Altuve had 1 out of 3 successes
The total successes are 3+2+1=6
The total tries are 5+4+3=12
The combined average is:
[tex]\displaystyle \bar x=\frac{6}{12}[/tex]
Simplifying:
[tex]\displaystyle \bar x=\frac{1}{2}[/tex]
The combined average of Altuve's weighted averages is 1 for 2 or 1/2
Maura runs 5 miles in 1.25 hours.How many miles could she run in 5 hours?
I NEED HELP!!
Answers
Answer:
15
Step-by-step explanation:
Can u explain to me how to do this :)
Answers
Answer:
you have to multiple it
Answer:
x = 35 y = 82
Step-by-step explanation:
all triangles add up to 180
the tick mark shows that 2x = y - 12
2x + 2x + 40 = 180
4x + 40 = 180
4x = 140
x = 35
y - 12 + y - 12 + 40 = 180
2y - 24 + 40 = 180
2y + 16 = 180
2y = 164
y = 82
Check:
40 + 2(35) + (82 - 12) = 180
Semisuma lungimii bazelor este formula de calcul pentru: *
Answers
Answer:
Can I Know Which Language Is This??
Anyone know this one?
Answers
Answer:
120
Step-by-step explanation:
If g (x) = 3x – 2, find g (8) – g(-5)
Answers
Answer:
I hope this helps you with your question
help please i need asap
Answers
Answer:
Yes, no, no, no, Yes
Step-by-step explanation:
The code words u1 = 1101010; u2 = 0100010; u3 = 1100011; u4 = 0010100 form a basis for a (7; 4) linear binary code. (a) Write down a generator matrix for this code. (b) Construct code words for the messages 1001 and 0101. (c) Write down the parity check matrix for this code. (d) Find the syndromes for the received words 1110011; 1001010; 0001101; 1101010
Answers
Answer:
i believe QuickMAth or CalculatorSOup can help with this if nobody answers, sorry ik im taking points but its not letting me comment :/
Step-by-step explanation:
Solve this equation.
24 + 0.44x = 19 + 1.69x
Answers
Answer:
x = 4
Step-by-step explanation:
24 + 0.44x = 19 + 1.69x
24 + 0.44x - 1.69x = 19
-1.25x = 19 - 24
-1.25x = -5
x = 4
Step-by-step explanation:
24 + 0.44x = 19 + 1.69x
24 - 19 = 1.69x - 0.44x
5 = 1.25x
1.25x = 5
x = 5/1.25
= 4
Solve: 2.3 = v + 0.47 v = _____
Answers
Answer:
2.3=v+0.47v=
We move all terms to the left:
2.3-(v+0.47v)=0
We add all the numbers together, and all the variables
-(+1.47v)+2.3=0
We get rid of parentheses
-1.47v+2.3=0
We move all terms containing v to the left, all other terms to the right
-1.47v=-2.3
v=-2.3/-1.47
v=1+0.83/1.47
Answer:
[tex]v = 1.564[/tex]
Step-by-step explanation:
[tex]1v + 0.47v = 2.3[/tex]
[tex] = > 1.47v = 2.3[/tex]
[tex] = > v = \frac{2.3}{1.47} = 1.564[/tex]
so its 1 am for me and I'm doing school work cause I over slept and fell 2 days behind is this anybody else
Answers
Answer:
me!
Step-by-step explanation:
If the original quantity is 17 and the new quantity is 33, estimate the percent change.
Answers
Answer:
The estimate rounding to the nearest whole is 94%, the specific answer is 94.12%.
Step-by-step explanation:
calculator lol
Write the missing number and name the
property
(733X5)×2= 733 x 5
Answers
Answer:
the missing number is 2
Step-by-step explanation:
Left side is (733*5)*2 (please use * for multiplication, or · , but not X or x)
Right side is 733*5. Rewriting the expression this way makes it obvious that the missing number is 2.
Which equation shows the quadratic formula used correctly to solve 7x2 = 9 + x for x? X = StartFraction negative 1 plus-or-minus StartRoot (negative 1) squared minus 4 (7) (9) EndRoot Over 2 (7) EndFraction x = StartFraction 1 plus-or-minus StartRoot (negative 1) squared minus 4 (7) (9) EndRoot Over 2 (7) EndFraction x = StartFraction negative 1 plus-or-minus StartRoot (negative 1) squared +4 (7) (9) EndRoot Over 2 (7) EndFraction x = StartFraction 1 plus-or-minus StartRoot (negative 1) squared +4 (7) (9) EndRoot Over 2 (7) EndFraction
Answers
Answer:
[tex]x=\dfrac{-(-1)\pm \sqrt{(-1)^{2}-4(7)(-9)}}{2(7)}[/tex]
Step-by-step explanation:
The quadratic equation is as follows :
[tex]7x^2=9+x[/tex] ...(1)
The solution of a quadratic equation [tex]ax^2+bx+c=0[/tex] is given by :
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
Equation (1) can also be written as follows :
[tex]7x^2-9-x=0\\\\7x^2-x-9=0[/tex]
Here, a = 7, b = -1 and c = -9
[tex]x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a}, x=\dfrac{-b-\sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-(-1)+\sqrt{(-1)^{2}-4(7)(-9)}}{2(7)}, \dfrac{-(-1)-\sqrt{(-1)^{2}-4(7)(-9)}}{2(7)}\\\\x=1.20\ s, -1.06\ s[/tex]
Neglecting negative value.
So, it will hit the ground in 1.2 s.
Answer:
D
Step-by-step explanation:
Edge 2021 hope this helps :)
PLEASE HELP
Explain what is happening at this step in the solving equation process.
10 − 6 x = 4 + 5 x
7-6x=1+5x
3 ( 4 x − 3 ) = − 15
4x-3=5
5x/-3=12/1
5x=-36
−3 ( 4 x − 3 ) = − 15
4x-3=5
Answers
9514 1404 393
Answer:
3 was subtractedboth sides were divided by 3both sides were multiplied by -3both sides were divided by -3Step-by-step explanation:
It looks like you have four different equations here.
As a rule, each step in the solution involves one of the properties of equality: addition, subtraction, multiplication, or division. These properties let you do the same thing (one of these operations) to both sides of the equation.
__
1. 10 − 6 x = 4 + 5x
7 -6x = 1 +5x . . . . 3 was subtracted from both sides*
__
2. 3 ( 4 x − 3 ) = − 15
4x -3 = -5 . . . . . both sides were divided by 3
__
3. 5x/-3=12/1
5x=-36 . . . . both sides were multiplied by -3
__
4. −3 ( 4 x − 3 ) = − 15
4x -3 = 5 . . . . both sides were divided by -3
_____
* For this equation it would have been more useful to subtract 4 to get ...
6 -6x = 5x
HELPPPP plzz!!
A.) Side - Side - Side
B.) Side - Angle - Side
C.) Angle - Side - Angle
D.) Angle - Angle - Side
E.) Hypotenuse - Leg
Answers
Oh wait I think I know the answer, c.
Answer:
C
Step-by-step explanation:
angle DAB = angle CBA
angle DBA = angle CAB
line AB = line AB
Since we know that the two angles and 1 side are the same on both triangle ADB and BCA, the property is angle side angle
Find the slope of the following graph and Identify the type of
Slope:
Answers
Answer:
undefined
Step-by-step explanation:
Horizontal lines have no slope. The line on the graph is vertical, so we can't really tell what slope it is. But there isn't any run and only rise, therefore the slope is "undefined."
1. The Table shows ticket prices for a concert. Child Student Adult Cost Purchased in Advance $6 $12 $18 Cost Purchased at the door $8 $15 $22 a. What is the average student ticket price? b. What is the average for a ticket purchased at the door? c. would adding the rows provide any meaningful information?
Answers
Answer : Its $15
Step-by-step explanation:
Because thats the average price for a student.
I know its correct!!!
How many 1/8-inch pieces of ribbon can be cut from a piece of ribbon that is 3/4 inch long? *
Answers
Answer:
the answer is 6
Step-by-step explanation:
Find what's 1/8 divided by 3/4 in fraction form?
step 1 Address formula, input parameters & values.
Input parameters & values:
1/8 and 3/4
Step 2: change the problem
Remember, always do KCF(Keep,Change,Flip)
First i keep 1/8
1/8 ÷ 3/4
Then I change the sign to multiplication because you need to need to find the answer and simplified it
1/8 x 3/4
Make sure u always flip the other fraction because you are multiplying
1/8 x 4/3
then you do the rest
Step 3:solve
1/8 x 4/3=4/24
Step 4: simplified
24/4=6
Now your answer is 6
Hope it helps :)
A mountain climber is scaling 500-foot cliff. The graph shows the elevation of the climb over time. What is the slope?
Answers
This is collection of data made by comparing objects in standard units. In science, the units are metric.
Answers
Answer:
You didn't even write a question.
The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:
Graph titled Distance Vs Time is shown with Time in minutes along the x axis and Distance from Nest in miles along the y axis. The scale on the x axis shows the numbers 0 to 25 at increments of 5, and the scale on the y axis shows the numbers 1 to 8 at increments of 1. A straight line joins the ordered pairs 0, 3 and 5, 4 and 10, 5 and 15, 6 and 20, 7.
Based on the graph, what is the initial value of the graph and what does it represent? (1 point)
a
3 miles per minute; it represents the speed of the bird
b
0.2 mile per minute; it represents the speed of the bird
c
0.2 mile; it represents the original distance of the bird from its nest
d
3 miles; it represents the original distance of the bird from its nest
Answers
Answer:
(d).
Step-by-step explanation:
The y-intercept (0, 3) is initial value of graph ⇒ (d). 3 miles; it represents the original distance of the bird from its nest
Answer:
0.2 mile; it represents the original distance of the bird from its nest
Step-by-step explanation:
Name the coefficients in a +2a+3a-4a
Answers
Answer:
2,3,4
Step-by-step explanation: there next to veribuls
87789-8977609-78860=
Answers
Answer:
-8968680
Step-by-step explanation:
If this is what your looking for if not sorryyyy
87789-8977609-78860 all you have to do is use a calculator(if you can) or do it the old school way. First, what I did was subtract the first two numbers 87789 and 8977609 to get -8889820 and then subtracted 78860 from that to get a total of -8968680.
Steve went to the grocery store. The initial subtotal of his bill was $105.23. Steve then used 5
coupons of the same value. If his subtotal after coupons was $101.48, how much was each
coupon worth?
Answers
Answer:
105.23-101.48=3.75
3.75/5=0.75
Step-by-step explanation:
Elena's father put $460 into a savings account for her. The account pays 2.5% simple interest each year. If he neither adds nor withdraws
money from the account, how much interest will the account earn after 4 years? Round to the nearest cent.
Answers
Answer:
$46
Step-by-step explanation:
Give that Elena's father put $460 into a savings account.
So, the principal amount, P= $ 460
Yearly simple interest , R= 2.5% = 0.025
Time, t = 4 years.
The interest, I, for the principal amount, P, at the rate of R yearly, after t years,
[tex]I= P\times R \times t[/tex]
By using the given values, we have
[tex]I=460\times 0.025 \times 4 = 46[/tex]
Hence, the account will earn $46.
If c varies diráctly as (1 + 1) and c= 8, when r = 3, calculate the value ofr when c= 20.
(4marks)
Answers
c = k(r + 1)
8 = k(3 + 1)
8 = 4k
8/4 = k
2 = k
c=2(r + 1)
When c = 20, then
20 = 2(r + 1)
20 = 2r + 2
20 - 2 = 2r
18 = 2r
18/2 = r
9 = r
Therefore, the value of r is 9 when c is 20.