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

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.

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brainly.com/question/24169758

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(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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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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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

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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

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Simplify

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Factor 2x-8x^2;

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=-2*4xx+2x

Factor out common term -2x

=-2x(4x-1)

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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

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Answers

Answer:

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Step-by-step explanation:

hello :

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Answers

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

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6. Is Mt. Everest in nepal?

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Answers

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Step-by-step explanation:

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I Hope this helps!

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Answers

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G I DID THIS ON KHAN!!!

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ueuieiejdnnfmdjxjufirir

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