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Consider the following sequence 4, 8, . . .
a. Assuming the sequence is arithmetic:
i. Write the next four terms
ii. What is the generator?
iii. Write a formula for t(n).
iv. Create a table and graph your sequence.
b. Assuming the sequence is geometric:
i. Write the next four terms
ii. What is the generator?
iii. Write a formula for t(n).
iv. Create a table and graph your sequence
Answers
9514 1404 393
Answer:
a. 12, 16, 20, 24; t(n)=4n
b. 16, 32, 64, 128; t(n)=2·2^n
Step-by-step explanation:
a. The difference of the given terms is 8-4=4, so the arithmetic sequence has a first term of 4 and a common difference of 4. The general term has the formula ...
t(n) = t(1) +d(n -1)
t(n) = 4 +4(n -1) . . . . . with t(1) and d filled in
t(n) = 4n . . . . . . . . . . simplified
This formula can be considered to be the generator of the sequence. For values of n from 3 to 6, the next four terms are ...
t(3) = 12; t(4) =16; t(5) = 20, t(6) = 24
A table and graph are shown in the first attachment.
__
b. The ratio of the given terms is 8/4 = 2, so the geometric sequence has a first term of 4 and a common ratio of 2. The general term has the formula ...
t(n) = t(1)·r^(n-1)
t(n) = 4·2^(n-1) . . . . . . . with t(1) and r filled in
t(n) = 2·2^n . . . . . . . . simplified
This formula can be considered to be the generator of the sequence. For values of n from 3 to 6, the next four terms are ...
t(3) = 16; t(4) = 32; t(5) = 64; t(6) = 128
A table and graph are shown in the second attachment.
Related Questions
What is: 17/21 + 1/3 - 5/7 as a fraction in simplest form?
(Giving brainliest, 5 stars and a thanks)
Answers
Answer:
3/7
Step-by-step explanation:
tret
) Write a system of equations to describe the situation below, solve using any method, and
fill in the blanks,
4) Miss Ellison is getting married soon. She would like to hire a professional who will come
to her house and do hair and makeup for the bridal party on her wedding day. She has
narrowed it down to two possible choices. A woman from Oxford Salon charges an initial fee
of $34 and then an additional $13 per hour. Alternatively, a team from Beauty by Charlie
offers a free consultation and then charges a higher hourly rate of $30. If it takes a certain
amount of time to finish everyone's hair and makeup, Miss Ellison will end up paying the
same amount either way. How long would that take? How much would Miss Ellison end up
paying?
hours, to finish everyone's hair and makeup, Miss Ellison will end up
It it takes
paying $
Answers
y = 13x + 34
And
y = 30x
I like substitution, so let’s use that
Plug in y = 30x for y in the first equation
30x = 13x + 34
Subtract
17x = 34
x = 2
Plug in 2 for x in any equation
y = 30(2)
y = 60
It would be 2 hours and she would pay $60 dollars
Jacob followed a recipe that requires 2 cups of water for ever 3 cups of flour. If he used 8 cups of flour, how many cups of water did he use?
options
2 2/3
4
5 1/3
12
Answers
Answer:12
Step-by-step explanation:
3 divided by 2 = 1.5
1.5x8=12
He used 12 cups of water
Have A Good Day
Given (x – 7)2 = 36, select the values of x.
x = 13
x = 1
x = –29
x = 42
Answers
Answer:
x = 13 and x = 1
Step-by-step explanation:
(x-7)² = 36
simplify left side of equation
x² - 14x + 49 = 36
Our object now is to get every thing on the left side of the equal sign so we can factor. To do this, we subtract 36 from both sides
x² - 14x + 13 = 0
we then factor the left side of the equation
( x - 1 ) ( x - 13 ) = 0
we then set factors equal to 0 and solve both factors for x
x - 1 = 0
add 1 to both sides
x = 1
x - 13 = 0
add 13 to both sides
x = 13
The values of x are x = 13 and x = 1
Just number three pls give right answer and will give brainless
Answers
Answer:
i think 34
Step-by-step explanation:
because thats the answer i got on calculator
What is 64 minutes as mixed number? (i'm pretty sure it might be
[tex]1 \frac{?}{?} [/tex]
but i don't know)
Answers
Answer:
1 1/15
Step-by-step explanation:
64 minutes is the same thing as 64/60 minutes.
64 goes into 60 once. 64-60=4, so that would be your numerator. You would keep the denominator as 60, since it's still out of 60.
If you put those numbers together your fraction would be
1 and 4/60, if you want to simplify, 60/4=15, so 1 and 1/15 would be your fraction.
Hope this helped!
How do you know whether two quantities x and y are proportional?
Answers
Answer:
I did this question for my little brother. and the answer is A. I think.
Please hurry I have to do it in 2 minutes
Answers
Answer:
[tex]w-0.15 = 0.25[/tex]
Step-by-step explanation:
I know that x + 2 is a factor of P(x) = 2x^{3} + 5x^{2} + 5x + 6, but I just don't know how to do the second half
Answers
Answer:
explain it again
Step-by-step explanation:
i don't understand
Inequalities definition
Answers
Answer:
a inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
Step-by-step explanation:
hope it helps :)
Answer:
In Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol. The expressions on both sides of an inequality sign are not equal. It means that the expression on the left-hand side should be greater than or less than the expression on the right-hand side or vice versa. If the relationship between two algebraic expressions is defined using the inequality symbols, then it is called literal inequalities. If two real numbers or the algebraic expressions are related by the symbols “>”, “<”, “≥”, “≤”, then the relation is called an inequality.
A A color printer prints 23 pages in 8 minutes.
How many minutes does it take per page?
Answers
Answer:
almost 3 pages
Step-by-step explanation:
take 23 divided by 8 =2.875
Five students wrote a quiz with the maximum score of 50. The scores of four of the students are 42,43,46 and 49. The score of the fifth student was N. The mean of the five students' scores was the same as the median of the five students' scores . What is the possible values of N .
Answers
Answer:
45
Step-by-step explanation:
avg=42+43+46+49/4
avg=180/4
n=45
the table shows the pricing for four different types of gasoline which type cost the least per gallon a $20.20 for 10 galb $26.04 for 12 gal c $28.14 for 14 gal d $30.45 for 15 gal
Answers
Answer:
A is the cheapest deal.
Step-by-step explanation:
find unit rate; cost / quantity
20.20 / 10 = $2.02 per gallon
26.04 / 12 = $2.17 per gallon
28.24 / 24 = $2.01 per gallon
30.45 / 25 = $2.03 per gallon
When 36x^4 + 12x^8 is divided by 12x^4, the result is
Answers
The result is 3+x^4.
A radioactive substance decays exponentially. A scientist begins with 150 milligrams of a radioactive substance. After 20 hours, 75 mg of the substance remains. How many milligrams will remain after 27 hours?
Answers
Answer:
Step-by-step explanation:
Which of the following is an equivalent form of the compound inequality
Answers
Answer:
pls mark brainy
Step-by-step explanation:
option (d) is correct.
An equivalent form of the given compound inequality −44 > −2x − 8 ≥ −8 is −44 > −2x − 8 and −2x − 8 ≥ −8
Step-by-step explanation:
Given a compound inequality −44 > −2x − 8 ≥ −8
We have to write an equivalent form of compound inequality.
Compound inequality consists of two inequalities joined together and the solution is the intersection of each inequality.
Compound inequality has two sides the left hand side and right hand side we can solve them by taking each inequality one at a time.
For given compound inequality, −44 > −2x − 8 ≥ −8
we have
Left side of inequality as −44 > −2x − 8
and right side of inequality as −2x − 8 ≥ −8
Thus, option (d) is correct.
Thus, An equivalent form of the given compound inequality −44 > −2x − 8 ≥ −8 is −44 > −2x − 8 and −2x − 8 ≥ −8
Evaluate the expression.
−12 ⋅ 1/3
Group of answer choices
4
-4
36
-36
Answers
Answer:
Option B. -4
Step-by-step explanation:
-12 x (1/3)
=> -12 ÷ 3
=> -4
Therefore, -4 is our answer.
Hoped this helped.
Please help me with this problem
Answers
Hello this will be easy for you.
Look at the picture, you have the angle UTR which is of 90° degrees. Thus the angle UTS is also 90° .
But the sum of the angles of a triangle is by property equal to 180° so the angle UVT must be equal to 180-90-64 = 26°.
Now we are getting near to solve that x+8 degrees angle.
Recall that UVT is 26° ok ? So 180-26 = x+8
Thus
x+8 = 154
x = 154 - 8
x = 146
Finally the angle UVS = 154 and the value of x = 146
You can see all the angles in the image attached below
Good luck you will be the best
Help help help help please please e
Answers
First you can get rid of the decimals by multiplying both numbers by 100, this just makes the whole problem easier. Now all that needs to be done is long division:
(In my work I didn’t realize that it said round to the nearest tenth until I had already gotten past what I needed to find)
HELPPPPPPPPPP PLEASE
Answers
Answer:
The answer is in the above attachment.
Answer:
1. 6 x^8 y^5
2. 4 x^5 z^8
3. 12 a^9 b7
4. 6 s^9 t^3
Step-by-step explanation:
1. (3 x^2 y^4) × (2 x^6 y)
= [ (3×2) (x^2 × x^6) (y^4 × y) ]
= 6 x^8 y^5
2. [ (x z^3) × (4 x^4 z^5) ]
= (4 × 1) (x × x^4) (z^3 × z^5)
3. .........
4. ...........
Don't mind me, cause I'm busy
Situation. 11. The weather channel reported overnight rainfall of 1.5 inches and an average of 0.5 inches each hour for the remainder of the day. After how many hours will there be more than 5 inches of rain?
Answers
Answer: The amount of precipitation that falls around the world may range from less than 0.1 inch per year in some deserts to more than 900 inches per year
Step-by-step explanation:
8. A bamboo plant is 10 centimeters tall at noon and grows at a rate of 5 centimeters every 2 hours. The height (in centimeters) is a function h(t) of the time t it grows. When will the plant be 20 centimeters tall?
Answers
Answer:
in 10 hours
Step-by-step explanation:
Answer: 4 hours
Step-by-step explanation: since the plant is already 10 centimeters, and it grows five centimeters every two hours, it only needs four hours to grow another 10 centimeters for it to be 20 centimeters.
Jack’s truck had used 30 gallons of fuel from a 50 gallon tank. What percentage was used? *
Answers
anwers: is 15 because I did 30 percent of 50
how to make it guys please
Answers
Answer:
were is the qn?
Step-by-step explanation:
Find the shaded area
Answers
152 hope this helps!!
Answer:
30
Step-by-step explanation:
A grower packs 4,568 peaches. He packs the most peaches possible, dividing them equally into 9 boxes, and then gives away the remaining peaches.
How many peaches are in each box.
How many peaches does he give away.
If he sells 7 boxes, how many peaches does he have left.
Answers
507 peaches in each box.
He gives away 5 peaches.
If he sells 7 boxes he has 1019 peaches left.
Hope this helps.
He gives away 5 peaches
If he’s sells 7 boxes he’ll have 1014 peaches left
What is the domain of the square root function graphed below?
4
-6
4
-2
6
X
15
6
Answers
Answer:
x[tex]\leq[/tex]-1
Step-by-step explanation:
What is the solution of the system of equations?
Answers
your desmos graph is really weird as the point is between 4 and 8 but with the one y=-x+5 we can see that the y intercept is 5 and the x value is 0
so the point is 0,5
Which expression is equivalent to 125 in expressional form
FAST PLS
Answers
Start by prime factorising 125.
125 = 5 × 5 × 5
If you check the given options, the correct answer is :-
5³ (3rd option)
Verification:-
5³ = 5 × 5 × 5 = 125
Note :-
The 2nd option also gives 125, but they've asked for the answer in exponential form, so the 3rd option is the correct one.
________
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
Hi, I got 8 points off on this problem, can you help me figure out what I did wrong?
Answers
Answer:
Possible errors: Triangle classification and definition.
Step-by-step explanation:
An isoceles triangle has at least two congruent sides of the same length.
Given the triangle that has two equal angles, and that you'll have to prove that the triangle also has two equal sides.
Using the Converse of Isoceles Triangle Theorem, where it states that if a triangle has two congruent angles < PQR ≅ < PRQ, for which opposite sides of those angles are congruent:
The opposite side of <PQR is line PR.The opposite side of <PRQ is line PQ.Additionally, connecting point P to point X along the line QR such that PX ⊥ QR, divides △PQR into two symmetrical sections, where points Q and R are equidistant from point X.
Answer:
Possible errors: Triangle classification and definition.