Los términos 32 , 16 , 8 , 4 ................, representan una PG .Calcular a) R b) El término décimo c) La suma de los 10 primeros términos

Answers

Answer 1

Respuesta:

T₁₀ = 1/16

S₁₀ = 63,9375

Explicación paso a paso:

Dado el término de un médico de cabecera como 32, 16, 8, 4 ...

El enésimo término de un médico de cabecera se expresa como;

Tn = arⁿ⁻¹

a es el primer término

r es la razón común

n es el número de términos

Dado

a = 32

r = 16/32 = 8/16 = 4/8 = 1/2

n = 10 (ya que necesitamos el décimo término de la secuencia)

Sustituir en la fórmula;

Tn = arⁿ⁻¹

T₁₀ = 32 (1/2) ¹⁰⁻¹

T₁₀ = 32 (1/2) ⁹

T₁₀ = 32 (1/512)

T₁₀ = 32/512

T₁₀ = 1/16

Por lo tanto, el décimo término de la secuencia es 1/16.

La suma de un GP se expresa como se muestra;

Sₙ = a (1-rⁿ) / 1-r para r <1

S₁₀ = 32 (1- (1/2) ¹⁰) / 1-1 / 2

S₁₀ = 32 (1-1 / 1024) / 1/2

S₁₀ = 64 (1 - 1/1024)

S₁₀ = 64 (1023/1024)

S₁₀ = 63,9375

por lo tanto, la suma de los primeros diez términos es 63,9375


Related Questions

ASAP please :))) will greatly appreciate

Answers

Slope is 2/3 and slope is -4

A 256- gallon barrel of radioactive Urikium is spilled at a factory. The entire area is evacuated. Experts say that the area can be deemed safe after only 2 gallons remain. Unfortunately, it is to toxic for any clean-up efforts, so residents will just have to wait for the Urikium to evaporate. Fortunately, Urikium has a half-life of only three hours. That means that half of the Urikium will evaporate every three hours

Answers

Answer:

21 hours

Step-by-step explanation:

Since 2^8 = 256, that means it will take 7 half-lives to become two gallons

7 half-lives * 3 hours = 21 hours

256, 128, 64, 32, 16, 8, 4, 2

Answer:

Experts say that the area can be deemed safe after only 2 gallons remain. Unfortunately, it is too toxic for any clean-up efforts. She residents will

Step-by-step explanation:

To solve half-life problems, you use the equations:

f(t) = T0 (1/2)^(t/t1/2). where T0 is the initial mass and T1/2 is the half-life.

So we get f(20)= 5 = T0•(1/2) ^ 20/11

T0 = 17.63 mg

For the second part of the question, we plug 0.5 mg into the equation:

0.5 = 17.63 • (1/2)^ t/11

t = 56.5 days

Aiden walked 2 miles in 2/5 hour. Find the unit rate.

Answers

Answer:

1 mile- 2/10 hr

Step-by-step explanation:

2 miles- 2/5 hr

1 mile- 2/10 hr

(divide by 2)

hope this helped :)

HELP PLEASE 10 POINTS

Answers

Answer:

A

Step-by-step explanation:

2x=8(x^2)
What is the solution of this maths equation?

Answers

Answer:

x=0,x=1/4

Step-by-step explanation:

2x=8(x^2)

Subtract 8(x^2) from both sides

2x-8x^2=8x^2-8x^2

Simplify

2x-8x^2=0

Factor 2x-8x^2;

2x-8x^2

=-8xx+2x

Rewrite 8 as 2*4

=-2*4xx+2x

Factor out common term -2x

=-2x(4x-1)

-2x(4x-1)=0

x=0 or 4x-1=0

Solve 4x-1=0;x=1/4

4x-1=0

Add 1 to both sides

4x-1+1=0+1

Simplify

4x=1

Divide both sides by 4

4x/4=1/4

Simplify

x=1/4

The solutions to the quadratic equation are;

x=0,x=1/4

Hope this helped!!!!

Root 24 multiplied by root 6

Answers

Answer:

12

Step-by-step explanation:

hello :

√24 ×√6 = √(24×6) =√144 = √12² = 12

Answer:

root 144 or 12

Step-by-step explanation:

24 by 6 is 144 so root 144 becomes 12

Grade 2

Odd or Even

1. 66
2. 19
3. 42
4. 37
5. 91
6. 76
7. 61
8. 93
9. 26
10. 72​

Answers

1. Even

2. Odd

3. Even

4. Odd

5. Odd

6. Even

7. Odd

8. Odd

9. Even

10. Even

What is the remainder when x2 + 5 is divided by x +1?

Answers

Answer: the answer is 6

Step-by-step explanation: You can use polynomial long division or synthetic division.

Your answer would be 6

mike is training to run a marathon. currently, he can run four miles in 44 minutes. if he maintains this running speed, how long will it take him to run 10 miles?

pls help:)!

Answers

It would take him 110 minutes to run 10 miles:)

Using the net below, find the surface area
of the pyramid.
3\in.
2 in.
2 in.
Surface Area =
[?] in.2
Enter

Answers

Answer:

16

Step-by-step explanation:

Base: 2x2=4

The 4 Triangles: 2x3x1/2 (for each triangle), each triangle equals 3

3x4=12

12+4=16

16 is the final answer

please help. solve either one I dont care :(​

Answers

Use slader it gives you all the bookwork answers!!!

Help please
WILL MARK YOU BRAINLIEST!!!!!

Answers

I’m in my car right now I

2 * m + n =

2 *(-2) + 3 = Sustituyendo el valor de cada letra.

-4 + 3 = -1

me ayudan porfa ​

Answers

Answer:

2xm+3=34

Step-by-step explanation:

ueuieiejdnnfmdjxjufirir

Ratio tables what’s the missing ratio

Answers

Answer:

16

Step-by-step explanation:

To solve we must first find what the given ratios equal

8/5 = 1.6

40/25 = 1.6

48/30 = 1.6

this means that x/10 = 1.6

To find x... multiply both sides of this equation my 10 to get x alone

x=1.6×10

x=16

Answer:

16

Step-by-step explanation:

I Hope this helps!

hii please help i’ll give brainliest

Answers

Answer:

II

Step-by-step explanation:

Answer:

quadrant 2

Step-by-step explanation:

Which product is irrational?
A. 2x50
B. 64x4
C. 9x49
D. 10x8

Answers

Answer:

i don't see in product in here that is irrational

Step-by-step explanation:

Explain how you know that x^2-8x+20 is always positive.
Please help.

Answers

Answer:

if you rearrange to complete the square, you get (x^2-4)^2 +4

and seeing as anything squared will always be positive or zero, the lowest possible value for (x^2-4)^2 is 0, when x = 4

and 0 + 4 = 4, which is greater than 0, so positive

Step-by-step explanation:

We have x^2-8x+20 is always positive.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

x^2-8x+20

=x^2-2.x.4+16+4

if you rearrange to complete the square,

you get (x^2-4)^2 +4

and seeing as anything squared will always be positive or zero,

the lowest possible value for (x^2-4)^2 is 0, when x = 4

and 0 + 4 = 4, which is greater than 0,

so, positive.

To learn more on equation click:

brainly.com/question/24169758

#SPJ2

3. Suppose the radius of the larger circle is r. What is its diameter?
d2 =
R2

Answers

Answer:

2r

Step-by-step explanation:

You suppose that the radius of a larger circle = r

so diameter = r*2 = 2r

aint really sure tho

Answer:

2R

Step-by-step explanation:

The formula to find the diameter states the relationship between the diameter and the radius. The diameter is made up of two segments that are each a radius. Therefore, the formula is: Diameter = 2 * the measurement of the radius. You can abbreviate this formula as d=2r.

Please solve the equation for this missing angle. Please Help ASAP!!!

Answers

Answer: D

Step-by-step explanation:

5x + 4x = 180°

Angles on a straight line add to 180°

MY FRIEND NEEDS THIS RN (40points) PLEASE AND TYY

Answers

Answer:

(2,2)

Step-by-step explanation:

Solve the equation. 1/2y+4=2 4 –4 –1 12

Answers

Answer:

         y = - 4

Step-by-step explanation:

¹/₂y + 4 = 2             {subtract 4 from both sides}

¹/₂y = -2                  {multiply both sides by 2}

   y = -4

HELPPP PLSSS 8TH GRADE MATH!!!!!

Answers

b = 6
...............................

help ASAP!!!
I'll give you points​

Answers

G I DID THIS ON KHAN!!!

(I’ll give brainliest) The scale on Bobby's map is 2 in. = 50 mi. His final destination is 6 in. away
from his current location. How many miles does Bobby have to go before he
reaches his destination?
A.50 mi.
B.100 mi.
C.150 mi.
D200 mi.

Answers

Answer:

C. 150 miles.

Step-by-step explanation:

By multiplying the scale by 3 to get the value for 6 inches, you can find that 6 inches on the map is equal to 150 miles.

please help me thanks:)

Cookies cost $3.50 per package. How many packages of cookies can Gail buy if she has \$42 .00? Write an equation and solve.

Answers

Answer:

Solve: 12 packagesEquation: n = $42.00¢

Step-by-step explanation:

Given

1 package = $3.50¢

∴, ? package = 42.00¢

Equation

Identify the variable. Let n be the variables, then, the equation is: n=$42.00¢

Solve

Since 1 is 3.50

To find 42.00

Divide 42.00 by 3.50

42.00 ÷ 3.50 = 12

Therefore, Gail can buy 12 packages with $42.00¢

find the length of a using the pythagorean theorem. SOMEONE PLZ HELPPP:)

Answers

Answer:

Step-by-step explanation:

Answer:

a=6

Step-by-step explanation:

edge21

Al multiplicar dos números negativos obtenemos como resultado un número

Answers

Answer:

positivo

Step-by-step explanation:

dos números multiplicados negativos siempre se vuelven positivos.

espero que esto ayude :)

plz have explanation with answer

Answers

the answer is B, because a trapezoid is when the line and the dots are angled
I think the Answer is A

Are the triangles below similar? Explain your answer.

Answers

Answer:

no

similar triangles have to be the same shape

Step-by-step explanation:

Which sentence is not written correctly?
Group of answer choices

previous clocks only showed the hours and minutes.

I never knew that it was the first clock to show hours, minutes, and seconds.

I think Benjamin Franklin was an amazing person.

Dad and I read that it was the first clock to show hours, minutes, and seconds.





Which quotation is not written correctly?
Group of answer choices

"What are some things that Benjamin Franklin is noted for?" asked Ms. Kane.

"Yes, he invented the lightning rod," replied Ms. Kane.

"Benjamin Franklin wrote Poor Richard's Almanac," answered Jason.

Maria asked, "wasn't he an inventor, too?"


Which name is not written correctly?
Group of answer choices

Mr. Arnold Skelly

Ms. Andrea tillis

Miss Molly McRea

Dr. B. Rimmins

Which street name is written correctly?
Group of answer choices

72 country Acres Lane

1157 Wakeshire Terrace

4049 Cambridge ct.

5443 nothingham dr.


Which city and state is written correctly?
Group of answer choices

Fox Ridge, Indiana

west Haven, Connecticut

Grand isle, NE

Grand rapids, MI


Which sentence is not written correctly?
Group of answer choices

The Ganges is a river in India.

The Hawaiian Islands are in the Pacific Ocean.

Is Mt. Everest in nepal?

Crete is an island in the Mediterranean Sea.


Which sentence is not written correctly?
Group of answer choices

Yes, my birthday is October 31.

Isn't your birthday on halloween?

Jana's birthday is on the Fourth of July.

That's another name for Independence Day.


Which sentence is written correctly?
Group of answer choices

Memorial day is always the fourth Monday in May.

We do not have school on Martin luther King Day.

The girl scouts have an annual food collection in our town.

Have you ever been to the Strawberry Festival?


Which title of a poem is written correctly?
Group of answer choices

"The snow man"

"Yesterday in Oxford Street"

"A Charm For Spring Flowers"

"Something told the wild Geese"


Which sentence is written correctly?
Group of answer choices

I liked it better than "Atlantis, The Lost Empire."

Troy liked "Recess: School's Out" better.

My favorite movie is "The Parent trap."

Troy and I saw "The lion king" at the theater.

Answers

Answer:

1. previous clocks only showed the hours and minutes.

2. Maria asked, "wasn't he an inventor, too?"

3. Dr. B. Rimmins

4. 1157 Wakeshire Terrace

5. Fox Ridge, Indiana

6. Is Mt. Everest in nepal?

7. Jana's birthday is on the Fourth of July.

8.The girl scouts have an annual food collection in our town.

9. "Yesterday in Oxford Street"

10. My favorite movie is "The Parent Trap."

Step-by-step explanation:

1. Does not have proper capitalization.

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