7) Given that Sn=3-2^(-4n)
is the sum of the first n terms of a sequence.
Un is the n term.
a) Express Un+1 in terms of n.
b) Deduce that the
sequence is a geometric progression.
Answers
Answer:
Step-by-step explanation:
\(s_{n}=3-2^{-4n}\\s_{n+1}=3-2^{-4(n+1)}=3-2^{-4n} *2^{-4}\\s_{n+1}-s_{n}=3-2^{-4n}*2^-4-3+2^{-4n}\)
\(=2^{-4n}-2^{-4n}*2^{-4}\\=2^{-4n}(1-2^{-4})\\=2^{-4n}(\frac{2^4-1}{2^4})\\=2^{-4n}\frac{15}{16}\\U_{n+1}=15*2^{-4(n+1)}\)
Related Questions
This is the graph of f(x) = x+A/x+B. The grid lines in the graph are one unit apart. What is the value of A/B
Answers
The value of A/B is given as follows:
A/B = -2.
What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.From the graph, the function has a vertical asymptote at x = 1, hence the value of B is given as follows:
B = -1 -> as x + B = 0 -> x = -B = -1.
When x = 0, y = -2, hence the value of A is obtained as follows:
A/-1 = -2
A = 2.
Then the division is given as follows:
A/B = 2/-1 = -2.
More can be learned about the asymptotes of a function at https://brainly.com/question/1851758
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I need help pleaseee
Answers
Answer:
I would say it is c
Step-by-step explanation:
Because x is on the negative so that would have to be -x then and the y number is posiitiv so it is y = -x + 4
SHOW 2 DIFFERENT WAYS TO FACTOR
\(-\frac{11}{2}x\) + \(\frac{1}{2} - \frac{7}{2} y\)
BTW!! \(-\frac{11}{2}x\) is NEGATIVE
Answers
Answer:
the fraction is 3(x + 4)
Step-by-step explanation:
Please answer quickly, thank you if u can help me
Answers
You can fill all the boxes using 19Hope this helps!
Please mark as brainliest if this helped you!
If you help me and your the 1st to get it right I mark you Brainliest, I heart you , and I friend you!
Answers
Answer:
10% of 100 is 10
you're welcome u-u
The final bill for dinner, including tip, was $172.50. If the diners tipped 15%, what was the bill before the tip? Write just the value that represents your answer.
Answers
Answer: The bill was $150 without tip and 172.50 with tip
Step-by-step explanation:
I have 60% on my iPad and my brother has 90% on his how much more percentage I need as a fraction.
Answers
Answer:
1/3
Step-by-step explanation:
just convert it?
3/10
Step-by-step explanation:
60% is the same as 60/100
90% is the same as 90/100
90-60=30
30/100
30/100 is divided by 10 on each side to simplify it to 3/10
1. ESTIMATE THE NUMBER OF GALLONS REQUIRED TO PRODUCE 22 T SHIRTS. IS YOUR ESTIMATE AN OVERESTIMATE OR UNDERESTIMATE? EXPLAIN.
2. HOW MANY GALLONS OF WATER ARE REQUIRED TO PRODUCE 15 POUNDS OF CHOCOLATE? WRITE AND SOLVE AN EQUATION. LET 'g' BE THE NUMBER OF GALLONS.
(hidden water cost/ 1 pound of chocolate = 3,170 gal - 1 ream of paper = 1,321 gal -1 gallon of milk = 880 gal - 1 cotton t-shirt = 713 gal - 1 hamburger = 660 gal)
3. Extension : The owner of a company has a goal to reduce the company's water footprint by 100,000 gallons in one year. He estimates that if the company reduces its yearly need for paper by 80 reams, he will meet his goal. Could the owner have estimated correctly? Justify your answer.
Answers
write an equation of the line that is parallel to points (-3,3),(0,1) and passes through the point (0,9)?? help lol
Answers
Answer:
Upload photo math it's really helpful for math equations
m= (1-3)/(0-(-3))
m= -2/3
then plug that slope and (0,9)into point slope form to get
y-9 = -2/3(x-0)
but if you want slope intercept form the simplify further
y-9= -2/3x
y=-2/3x+9
Which inequalities would have an open circle when graphed? Check all that apply.
t Less-than-or-equal-to 25
-2.5 Less-than-or-equal-to m
x > 5.4
One-half less-than x
x > 0
Answers
An open circle is used to graph strict inequalities, which means the inequality does not include the value at the boundary. The inequalities that would have an open circle when graphed are:
x > 5.4
One-half less-than x
x > 0
if an inequality states less than OR equal to that means the circle will be closed when graphed
Matthew visited the fruits garden last weekend and helped farmers count the fruits. There were 10% more dragon fruits than passion fruits. When 75 fruits were added, the dragon fruits were increased by 60% and the passion fruits increased by 9%. How many fruits were there at first?
Answers
Answer:
Step-by-step explanation:
let number of passion fruits=x
number of dragon fruits=x+10% of x
=x+0.1 x=(1+0.1)x=1.1 x
total number of fruits=x+1.1 x=(1+1.1)x=2.1 x
1.1x+60% of 1.1x+x+9% of x=2.1x+75
1.1 x+0.6 of 1.1 x+x+0.09 of x=2.1x+75
1.1x+0.66 x+x+0.09 of x =2.1x+75
2.1 x+0.75x-2.1 x=75
0.75 x=75
\(\frac{75}{100}x =75\\x=75 \times \frac{100}{75} =100\\Originally ~total ~number~ of~ fruits=2.1x=2.1 \times100=210\)
Answer:
Step-by-step explanation:
let number of passion fruits=xnumber of dragon fruits=x+10% of x=x+0.1 x=(1+0.1)x=1.1 xtotal number of fruits=x+1.1 x=(1+1.1)x=2.1 x1.1x+60% of 1.1x+x+9% of x=2.1x+751.1 x+0.6 of 1.1 x+x+0.09 of x=2.1x+751.1x+0.66 x+x+0.09 of x =2.1x+752.1 x+0.75x-2.1 x=750.75 x=75
Please help 10 points each but beware if you use my points for no reason I'll report you
Answers
Step-by-step explanation:
base=9
height=10
V =1/3 bh
V=1/3 x 9 x 10
V=30
hope it helps
height=10
V=30
you can also solve this by just figuring out the w
Which pair of points forms a vertical line segment that is 4 units long? A. (–3, 5) and (–7, 5) B. (3, –8) and (3, –4) C. (2, 1) and (2, 3) D. (2, 4) and (–2, 4)
Answers
Answer: (-7,5) and (-3,5) :) there for answer is A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
PLEASE HELP I'M BEING TIMES!! (UNIT RATE!!!!!)
Find the unit rate if 6 chocolate chip cookies have 426 calories. Show the answer in fraction and word form.
a.There are 71 calories per cookie.
b.There is 1 calorie per 71 cookies.
c.There are 61 calories per cookie.
d.There are 426 calories per 6 cookies.
Answers
Answer:
71 cals/ cookie
Step-by-step explanation:
426 divided by 6 equals 71. hope this helps. good luck
426/6 = 71/1
help its for tomorrow
Answers
Answer:
1. -15degree C
2. +$27
3. +2010
4. +38
5. +376
6. -$200
7. -3
8. +$150
9. +$41
10. -240
11. +$120
12. -60
Step-by-step explanation:
this is the answer
Answer:
-15, 27, 2010, -38, 376, -200, -3, 150, 41, 240, 120, -60
Step-by-step explanation:
1. -15
2. 27
3. 2010
4. -38
5. 376
6. -200
7. -3
8. 150
9. 41
10. 240
11. 120
12. -60
The numbers on which I did not put any sign are positive numbers and those which have a minus (-) sign are negative numbers.
WILL GIVE BRAINLIEST PLEASE HELP ME!
Answers
Answer:
The slope is 7/2.
Step-by-step explanation:
Use the slope formula and plug in the numbers.
Answer:
I think it's going down diagonally. It goes 5, 4, 3.7
i need help//////////////
Answers
Answer:
90 degrees is a right angle, and is in the corner of this text box, or this: |_
40 degrees is an acute angle, a little less than half 90 degrees, like this: <
135 degrees is an obtuse angle, and is 90 degrees + 45 degrees.
Also, something important to remember when drawing this is that 180 degrees is half of a circle, and 360 degrees is a full circle.
sry i cant couse to us 100 points becuse i need them but first to answer correctly
gets brainlyes
what is the distance between Earth and the centre of the Milky Way galaxy? try your best and dont search it up becuse that ruens the fun. hint: its in light years and its far away (btw i dont know if this is cinsited math if not tell me pls) fun fact are galexy is orbiting another galaxy called the Andromeda galaxy.
Answers
Answer:
Its either 20,000 or 25,000 light years
Step-by-step explanation:
Is it right
Please help me I will give brainiest.
Answers
Answer:
Play soccer: _________67% / 33% / 100%
Do not play soccer:___ 45% / 55% / 100%
Total : _____________112% / 88% / 200%
Step-by-step explanation:
play soccer: total is 90, to find percentage :
60/90 = 0.6666666667 estimated = 0.67
0.67 x 100 = 67%
30/90 = 0.3333333333 estimated = 0.33
0.33 x 100= 33%
33% + 67% = 100%
don’t play soccer : total is 60, to find percentage:
27/60 = 0.45
0.45 x 100 = 45%
33/60= 0.55
0.55 x 100 = 55%
45% + 55% = 100%
Total for first column going down
67% + 45% = 112%
Second column going down
33% + 55%= 88%
Third column going down
100% + 100% = 200%
Third column going across
112% + 88%= 200%
Play soccer: 67% / 33% / 100%
Do not play soccer:45% / 55% / 100%
Total :112% / 88% / 200%
( •_•)>⌐■-■ (⌐■_■)
PLEASE HELP ME!! On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(1, 2). What is the length of Side RT of the polygon?
4 units
7 units
8 units
15 units
Answers
Answer:
7
Step-by-step explanation:
im pretty sure i dont have a piece of paper tho sorry
Answer:
i think the answer is 7
Step-by-step explanation:
hope this helps :)
Rebecca earns 4250 per month, of which 24 percent is taken out of her paycheck for federal and state income taxes and other required deductions Last month she spent $975 for rent and $317 for food. What percent of her take-home pay did she spend on rent and food combined? THIS IS ON A FREAKING 7TH GRADE TESSSTTT I NEEEEDDD HELP THE ONLY THING IM ALBERT EINSTEIN AT IS AMONG US JEEZ
Answers
Answer:
39.22%
Step-by-step explanation:
hope this helps :)
1. If the height of a parallelogram is 27.3 m and the base is 6.3m, what is the area of the parallelogram?
2. If the base of a rectangle is 27.4 mm and the area is 420.92 mm2. What is the height of the rectangle?
3. What is the height of a rectangle with a perimeter of 133.2 mm and a base length of 30.6 mm?
4. If the base of a parallelogram is 61 m and the area is 645 m2, what is the height of the parallelogram
5. What is the perimeter of a parallelogram with a base of 32 cm, a side length of 34 cm, and a height of 19 cm?
6. What is the area of a parallelogram with a base of 40 mm, a side length of 15 mm, and height of 18 mm?
7. If the height of a rectangle is 8.8 m and the base is 7.9 m, what is the perimeter of the rectangle
8. If the base of a rectangle is 23cm and the area is 354 cm2, what is the height of the rectangle?
9. What is the area of a square with a perimeter of 44 mm?
10. What is the area of a square with a perimeter of 55 cm?
Introduction to Perimeter & Area of Polygons
Answers
Answer:
1) to work out the area of a parallelogram you need to do area= base x height.
6.3x27.3=171.99m^2
2) 420.92/27.4= 15.36mm to 2 decimal places
3) 133.2x30.6=4075.92mm^2
4) 651/61=10.57m to 2 decimal places
5) (32x2)+(34x2)=132mm
6) 40x18=720mm^2
7) (8.8x2)+(7.9x2)=33.4m
8)354/23= 15.39cm to 2 decimal places
9) 44/4=11
11x11=121mm^2
10)55/4=13.75
13.75x13.75=1890.0625cm^2
11) 43x18=774m^2
12) 25x35=875m^2
13)600/16=37.5m
14) 125-(40.5x2)=44.6
44.6/2=22.3
22.3x40.5=903.15cm^2
15) 64.3x4.3=276.49m^2
Step-by-step explanation:
PLEASE HELP ME ON THIS ASAP
Answers
Answer:0.054 becuase 0.45x 0.12.=0.054
BRAINLIEST!!!!! Name a pair of complementary angles.
a protractor, with segment DEF along the bottom, EH point to the 75 degree on the left, EJ to 90 degrees, EK to the 20 degrees on the right
angles DEJ & FEJ
angles DEH & DEJ
angles HEJ & JEF
angles DEH & HEJ
Answers
Answer:
1st Pair :- Angle DEH and Angle HEJ.
2nd Pair :- Angle KEF and Angle KEJ
Hope this helps
Good Day!
A pair of complementary angles as shown in the protractor is angles DEH & HEJ; option D.
What are complementary angles?Complementary angles are two angles whose sum is equal to 90°.
The angles that are complementary as shown in the protractor are DEH and HEJ.
DEH = 75
HEJ = 15
DEH + HEJ = 90°.
Therefore, a pair of complementary angles as shown in the protractor is angles DEH & HEJ.
Learn more about complementary angles at: https://brainly.com/question/16281260
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Find the perimeter of this shape.
Answers
Answer:
draw a line that makes a triangle and rectangle.
hypotenuse= 30
3k-4k-5k triangle
18-24-30
so the short part of triangle is 18 cm
10+10+18+24+30 equals 92
sorry for language I am not familiar with English
the perimeter of this shape is
24+10+10+30+\(\sqrt{30^{2} -24^{2} }\) = 92 cm
PLEASE HELP!!! 20 POINTS, IF YOU DONT KNOW THE ANSWER DO NOT ANSWER.
△ABC is translated up 5 units to form the image ∆A′B′C′.
What are the coordinates of the vertices of ∆A′B′C′ ?
Enter your answer by filling in the boxes.
A′ = ( , )
B′ = ( , )
C′ = ( , )
Answers
Vertex B: x= 2 y= -0.5
Vertex C: x= 2 y=2
5646534 + 746386785634986789376589674987654
REPOST LOL
Answers
Answer:
7.4638679e+32
Step-by-step explanation:
5646534 + 746386785634986789376589674987654
=7.4638679e+32
Mackey invested some money in an account paying 6% interest for one year. She invested $1000 more than this amount in an account paying 8.5%. How much did she invest in total if the total interest earned in the year was $737.50?
Answers
Step-by-step explanation:
Let's assume the amount Mackey initially invested in the 6% account is x dollars.
According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.
The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.
The total interest earned in the year is given as $737.50, so we can set up the equation:
0.06x + 0.085(x + $1000) = $737.50
Simplifying the equation:
0.06x + 0.085x + 0.085($1000) = $737.50
Combining like terms:
0.145x + $85 = $737.50
Subtracting $85 from both sides:
0.145x = $737.50 - $85
0.145x = $652.50
Dividing both sides by 0.145:
x = $652.50 / 0.145
x ≈ $4500
Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.
$4500
$4500
$4500
$4500
You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the box?
What is the decimal expansion for 12
2
3?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me
Answers
Answer:
D is the right choice and no you cannot fit the pizza inside the box.
Step-by-step explanation:
D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.
Answer:
I believe the answer is D.
Step-by-step explanation:
Heyyy SORRY about the other question here is the question PLEASE HELP!!!!
Answers
Answer:
A
Step-by-step explanation:
just look at the edge of the box. and then you get your answer