Answers
Answer:
[tex]-\frac{17}{4}[/tex] is 27th term of the given sequence.
Step-by-step explanation:
Given sequence is [tex]2\frac{1}{4},2,1\frac{3}{4},......[/tex]
Here, first term of the sequence,
[tex]a_1=2\frac{1}{4}[/tex]
By subtracting first term from the second term of the sequence,
[tex]T_2-T_1=2-2\frac{1}{4}[/tex]
= [tex](2-2)-\frac{1}{4}[/tex]
= [tex]-\frac{1}{4}[/tex]
Similarly, difference in second and third term,
[tex]1\frac{3}{4}-2=(1-2)+\frac{3}{4}[/tex]
= [tex]-1+\frac{3}{4}[/tex]
= [tex]\frac{3-4}{4}[/tex]
= [tex]-\frac{1}{4}[/tex]
Therefore, there is a common difference (d) of [tex](-\frac{1}{4})[/tex].
Hence, the sequence is an Arithmetic sequence.
Explicit formula of an Arithmetic sequence is given by,
[tex]T_n=a_1+(n-1)d[/tex]
Here, n = number of term
If, [tex]T_n=-\frac{17}{4}[/tex]
By substituting these values in the formula,
[tex]-\frac{17}{4}=2\frac{1}{4}+(n-1)(-\frac{1}{4})[/tex]
[tex]-\frac{17}{4}-2\frac{1}{4}=(n-1)(-\frac{1}{4})[/tex]
[tex]-\frac{17}{4}-\frac{9}{4}=-(n-1)(\frac{1}{4})[/tex]
[tex]-(\frac{17+9}{4})=(n-1)(\frac{1}{4})[/tex]
[tex]\frac{26}{4}=\frac{1}{4}(n-1)[/tex]
n - 1 = 26
n = 27
Therefore, [tex]-\frac{17}{4}[/tex] is 27th term of the given sequence.
Related Questions
What is an equation of the line that passes through the points (7, 6) and (-2, -3)?
Answers
Answer:
Remember the formula for the slope which is change in y over change in x
therefore: (7+2)/(6+3)= 1 slope=1
formula for a line is y=mx+b
plug in your slope and one of the given coordinates to find the y-intercept:
y=1x+b
7=1(6)+b
7=6+b
1=b
so the equation for the line would be y=x+1
I need some help to pass my math class!
(06.01)
What type of association does the graph show between x and y?
A scatter plot is shown. Data points are located at 1 and 5, 2 and 4, 3 and 3, 4 and 2, 5 and 1, 6 and 0.
Group of answer choices
Linear positive association
Nonlinear positive association
Linear negative association
Nonlinear negative association
Answers
Answer:
your friend a creep
Step-by-step explanation:
Find the surface area of the prism
Answers
Find the sum of the zeros in the following equation: (2x-1)(x+8)(2x-4)(x-1)
Answers
Answer:
[tex]-9\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]2x+1=0[/tex]
[tex]2x=-1[/tex]
[tex]x=-\frac{1}{2}[/tex]
[tex]x+8=0[/tex]
[tex]x=-8[/tex]
[tex]2x-4=0[/tex]
[tex]2x=4[/tex]
[tex]x=2[/tex]
[tex]x-1=0[/tex]
[tex]x=1[/tex]
[tex]1+2-8-\frac{1}{2}[/tex]
[tex]=-1-8\frac{1}{2}[/tex]
[tex]=-9\frac{1}{2}[/tex]
Sum of fractions [tex]=-9\frac{1}{2}[/tex]
If 10x = 5, what is x?
Answers
If 10x=5, then x would be equal to 1/2.
You'd simply divide 10 by 5 to solve for x.
The value of x is 1/2.
What is algebra?Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.
In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.
Given:
10x=5
Divide both side by 10
10x/10=5/10
x=5/10
x=1/2
Hence, the value of x is 1/2.
Learn more about algebra here:
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The ratio of cheers to hollers was 9 to 8. If there were 96 hollers, how many cheers were there?
Answers
Answer:
108 cheers
Step-by-step explanation:
9:8
x:96
96/8 = 12
12 · 9 = 108
Find the volume of the cylinder
Answers
Answer:
100.5cm2
Step-by-step explanation:
v=pi(r)2(h)
v=3.14(2)2(8)
v=3.14(4)(8)
v=100.48
v=100.5cm2
The diameter of a circle is 12 inches. What is the radius?
d=12 in
Give the exact answer in simplest form.
inches
Answers
Answer:
aaaaaa
Step-by-step explanation:
12*12
Answer:
6 in
Step-by-step explanation:
The radius is half the diameter. If the diameter here is 12 in, then the radius must be 6 in
I need some help with this, can someone help me?
Answers
Answer:
D. Paul can type 3/4 as fast as Jennifer
Step-by-step explanation:
60/80 = 3/4
-0 overline 32. is it irrational or rational?
Answers
Answer:
irrational
Step-by-step explanation:
[tex]( \sqrt{3 - \sqrt{2 {}^{2} } } )[/tex]
please answer step by step
Answers
Answer:
it would be 1
Answer:
1
Step-by-step explanation:
sqrt(3-sqrt(2^2))
sqrt(3-2)
sqrt(1)
1
HELP PLEASE
The ratio of the diameters of two similar cylinders is 3:5. If the surface area of the smaller cylinder is 378 square inches, find the surface area of the larger cylinder.
Answers
Answer:
1050in^2
Step-by-step explanation:
△A′B′C′ is the image of △ABC, under a translation.
Answers
Answer:
...
Step-by-step explanation:
Which statement is correct?
A kilometer is 100 times the length of a centimeter.
A meter is 1,000 times the length of a kilometer.
A centimeter is 100 times the length of a meter.
A meter is 100 times the length of a centimeter.
Answers
Answer:
A meter is 1000 times the length of a kilometer.
Please help me if you don't mind work out the problem I'll give you brainly
Answers
Answer:
C) Izzy
Step-by-step explanation:
Justin typed 90 words in 2 minute:
work
405/9=45 words a minute
45*2=90
Remmy typed 84 words in 2 minute:
work
420/10=42 words a minute
42*2=84
Izzy typed 98 words in 2 minutes:
work
588/12= 49 words a minute
49*2 = 98
I hope this helps :)
Answer:
C
Step-by-step explanation:
We need to find how many words each of them can type in 2 minutes.
Justin-
Justin can type 135 words in 3 minutes. First, find how many words he can type in 1 minute:
135/3 = 45 words per minute
Then, multiply by 2 to find how many words he can type in 2 minutes:
45 * 2 = 90
90 < 95, so he is eliminated.
Remmy-
Do the same as we did for Justin. Find the number of words she can type in 1 minute:
168/4 = 42
Multiply by 2:
42 * 2 = 84 words per minute
84 < 95, so she is eliminated.
Izzy-
Find the number of words she can type in 1 minute:
147/3 = 49 words per minute
Multiply by 2:
49 * 2 = 98
98 > 95, so she can type a minimum of 95 words every 2 minutes.
At a department store, Kendra has a debt greater than $25.00. Which could be Kendra’s balance?
Negative 32 dollars
Negative 22 dollars
Negative 19 dollars
Negative 11 dollars
Answers
Answer:
-$32.00
Step-by-step explanation:
PLEASE HELP ME!!!!!!
Answers
3x eliminates and 9y
3x + 5
=
11
Solve for x:
3x + 5 = 11
DDDDD
Answers
Answer:
x = 2
Step-by-step explanation:
To solve this we first subtract 5 from both sides and get 3x = 6, now we divide both sides by 3 and we get x = 2.
(っ◔◡◔)っ ♥ Hope It Helps ♥
In the data set below, what is the lower quartile
Answers
Eric has completed 36 deliveries so far this week. He needs to make 60 deliveries for the week. What percentage of his deliveries has Eric completed?
Answers
Answer is 60%
Answer:
60%
Step-by-step explanation:
you do 36 divided by 60 and it tells you the percentage
Students did push-ups for a fitness test. Their goal was 20 push-ups. For each student,
determine what percentage of the goal they achieved.
1. Elena did 16 push-ups.
2. Jada did 42 push-ups.
3. Lin did 13 push-ups.
4. Andre did 21 push-ups.
Answers
Answer:
1- 80%
2- 210%
3- 65%
4- 105%
Step-by-step explanation:
The percentage of the goal achieved by them:
1). 80%
2). 210%
3). 65%
4). 105%
Find the percentage
1). Goal of push-ups = 20
No. of push-ups done by Elena = 16
Percentage = 16/20 × 100
= 80%
2). Goal of push-ups = 20
No. of push-ups done by Jada = 42
Percentage = 42/20 × 100
= 210%
3). Goal of push-ups = 20
No. of push-ups done by Lin = 13
Percentage = 13/20 × 100
= 65%
4). Goal of push-ups = 20
No. of push-ups done by Andre = 21
Percentage = 21/20 × 100
= 105%
Thus, the above answers are correct.
Learn more about "Percentage" here:
brainly.com/question/26080842
The sum of two numbers is 45. One number is 31 more than the other. Find the numbers.
Answers
Answer:
THE SUM OF TWO NUMBERS =45
ONE OF THE NUMBER = 31
OTHER NUMBER = 45-31 = 14
OTHER NUMBER IS 14
Step-by-step explanation:
HOPE IT HELPS
THANK YOU
La media de una población es 683.5g y su desviación estándar 52.1g. Determina la puntuación estándar para el valor 652.1
Answers
Respuesta:
- 0,60
Explicación paso a paso:
Dado que:
Media poblacional, μ = 683,5
Desviación estándar, σ = 52,1
Puntuación, x = 652,1
La puntuación estandarizada, Z = (x - μ) / σ
Puntuación Z = (652,1 - 683,5) / 52,1
Puntuación Z = - 31,4 / 52,1
Zscore = −0.602687
Puntaje estandarizado = - 0.60
guys please help me with this question, I’d appreciate it a lot
Answers
Answer:
choice 1) 3/4, 1, 5/4
Step-by-step explanation:
(3/4)² + 1² = (5/4)²
0.5625 + 1 = 1.5625
Occupancy rate is defined as rooms sold divided by rooms available. If you
have 632 rooms available and sell 580 of them, what is your occupancy
rate? (Round to the nearest percent.)
a) 92%
b) 95%
c) 98%
d) 100%
Answers
Answer:
a.) 92% is the correct answer.
Step-by-step explanation:
To get the occupancy rate, you will need to divide the number of room sold to the number of rooms available and multiply that number by 100%, which is (580*100%)/632=91.77% ~ 92%
Helppp plzz I been looking it up but it gives me no answers
Answers
Answer:
I think it's the first one.
Step-by-step explanation:
Answer:
Click on the Fill Color drop-down menu
Step-by-step explanation:
First you would click the full color menu, then select a color, then select the cells, then save
Hannah buys ⅔ pound of roast beef. She uses ¼ pound to make a sandwich for lunch. How much roast beef does she have left?
Answers
Answer:
5/12
Explanation:
With unlike denominators find the Least Common Denominator (LCD)
LCD = 12
3x4=12
Multiplying numerators and denominators to get the LCD in all fraction denominators
=2×4/3×4 − 1×3/4×3
Then rewriting the equation with the equivalent fractions
=8/12 − 3/12
With like denominators we can operate on just the numerators
=(8−3)/12
=5/12
A ball dropped from a height of 19 meters will bounce back off the ground to 45% of the height of the previous bounce (or the height
from which it is dropped when considering the first bounce).
Answers
Answer:
8.5
Step-by-step explanation:
how I got 8.5 is I did 19 X 45% which is equal to 8.5
In the right triangle shown, n=30 and MO=8
How long is BC
Answers
PLEASE SUPER PLEASE HELP