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

(I’ll give brainliest) The scale on Bobby's map is 2 in. = 50 mi. His final destination is 6 in. away
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A.50 mi.
B.100 mi.
C.150 mi.
D200 mi.

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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.

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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

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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:

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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¢

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Step-by-step explanation:

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Step-by-step explanation:

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x=16

Answer:

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Step-by-step explanation:

I Hope this helps!

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Which sentence is not written correctly?
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Which sentence is not written correctly?
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b = 6
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I’m in my car right now I

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hello :

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Answers

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

positivo

Step-by-step explanation:

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Answers

Answer:

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

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Step-by-step explanation:

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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,

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if you rearrange to complete the square,

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brainly.com/question/24169758

#SPJ2

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