7/30/2019 Act 5 Examen Calculo

1/14

RECONOCIMIENTO UNIDAD UNO

El tercer trmino de la sucesin , es:

Seleccione una respuesta.

a.

b.

c.

d.

2Puntos: 1Si el octavo trmino de una progresin aritmtica es3 y el noveno trmino 1. El primer trmino de laprogresin es:

Seleccione una respuesta. a. 11

b. 13

c. 17

d. 15

3Puntos: 1La progresin geomtrica {1/2, -3/4, 9/8, -27/16,........} tiene como razn:Seleccione una respuesta.

a. r = 3/2

b. r = -3/2

c. r = 2/3

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7/30/2019 Act 5 Examen Calculo

2/14

d. r = -2/3

4

Puntos: 1El trmino general o enesimo de la

sucesin , es:Seleccione una respuesta.

a.

b.

c.

d.

5Puntos: 1El trmino enesimo o general de la

sucesin , es:

Seleccione una respuesta.

a.

b.

c.

d.

6Puntos: 1La sucesin la podemos clasificar como:Seleccione una respuesta.

a. Creciente

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7/30/2019 Act 5 Examen Calculo

3/14

b. Decreciente

c. Oscilante

d. Divergente

7Puntos: 1

La sucesin es:Seleccione una respuesta.

a. Divergente

b. Constante

c. Oscilante

d. Convergente

8Puntos: 1La progresin geomtrica {-1, 2/3, -4/9, 8/27, ........}

tiene como razn:Seleccione una respuesta.

a. r = 3/2

b. r = 2/3

c. r = -3/2

d. r = -2/3

9Puntos: 1La suma de los cinco (5) primeros trminos de la

progresin , es:Seleccione una respuesta.

a.

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7/30/2019 Act 5 Examen Calculo

4/14

b.

c.

d.

10Puntos: 1

El quinto trmino de la sucesin , es:Seleccione una respuesta.

a.

b.

c.

d.

LECCIN EVALUATIVA UNIDAD UNO

La diferencia comn de una progresin es 2 y elprimer trmino 10. La suma de sus 4 primerostrminos es:

Seleccione una respuesta. a. 52

b. 50

c. 40

d. 25

2Puntos: 1

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7/30/2019 Act 5 Examen Calculo

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La cota inferior y la cota superior de la siguiente

sucesin son respectivamente:

Seleccione una respuesta.a. 2 y 3.5

b. 1 y 3

c. 0.5 y 3

d. 1.5 y 3.5

3Puntos: 1Una represa, el primer da de febrero de 2011, tiene15.000 litros de agua, luego diariamente recibe 100litros. Cuntos litros de agua tendr 28 dasdespus?Seleccione una respuesta.

a. 441.450

b. 490.500

c. 457.800

d. 506.850

4Puntos: 1En una progresin geomtrica se sabe que eltrmino decimoquinto es igual a 512 y el trminodcimo es igual a 16. Cul es el primer trmino ycul es la razn?Seleccione una respuesta.

a. y r=2

b. y r=3

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7/30/2019 Act 5 Examen Calculo

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c. y r=2

d. y r=2

5Puntos: 1El noveno trmino de la siguiente progresingeomtrica: 2, -6, 18, -54,...., es:Seleccione una respuesta.

a. -4.374

b. -13.122

c. 13.122

d. 4.374

6Puntos: 1

El lmite de la sucesin {(ax2

+ bx + c)/ (mx2

-n)}cuando x tiende a infinito es :

Seleccione una respuesta.a. a/m

b. Infinito

c. Cero

d. m/a

7Puntos: 1La suma de los 4 primeros trminos de unaprogresin aritmtica es 52 y su primer trmino 10.El cuarto trmino de la progresin es:Seleccione una respuesta.

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a. 17

b. 20

c. 16

d. 15

8Puntos: 1El primer trmino de una progresin aritmtica es 2,la diferencia comn 5. El dcimo trmino es:

Seleccione una respuesta. a. 46

b. 47

c. 48

d. 42

9Puntos: 1Tenemos una progresin geomtrica, de la cualconocemos que el trmino decimoquinto es igual a512 y su trmino dcimo es igual a 16. El primertrmino y la razn r, son respectivamente:Seleccione una respuesta.

a. y

b. y

c. y

d. y

10

Puntos: 1

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7/30/2019 Act 5 Examen Calculo

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Cul es el trmino que ocupa el lugar 100 en unaprogresin aritmtica, cuyo primer trmino es igual a4 y la diferencia es 5?

Seleccione una respuesta. a. 495

b. 500

c. 503

d. 499

QUITZ UNIDAD UNO

Un tipo de bacteria se reproduce por biparticin cadamedia hora. Cuntas bacterias habr despus de 4horas?

Seleccione una respuesta. a. 32

b. 128

c. 256

d. 64

2Puntos: 1En un teatro la distancia entre la pantalla y laprimera fila es 5,5 m y la sexta 8,75 m. Cul es ladistancia entre cada una de las filas?Seleccione una respuesta.

a. 0.65 m

b. 1.00 m

7/30/2019 Act 5 Examen Calculo

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c. 0.55 m

d. 0.50 m

3Puntos: 1Para realizar una excavacin en tierra, una empresacontratista, le paga a Juan el primer metro cubico a$700 y $95 de aumento por cada metro sucesivo.Cunto se pagar por 10 metros cubicosexcavados?

Seleccione una respuesta.a. 12830

b. 11275

c. 9720

d. 1555

4Puntos: 1

En la sucesin , para , el quinto terminoes:

Seleccione una respuesta.

a.

b.

c.

d.

5

Puntos: 1

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Una empresa constructora consume el primer da deenero de 2011 12.500 kg de cemento. Cuntoskilogramos de cemento han consumido a los 31

das, si el consumo aumenta 250 kg por da?Seleccione una respuesta.a. 503.750 kg

b. 503.500 kg

c. 504.000 kg

d. 503.250 kg

6Puntos: 1Dada la progresin geomtrica cuyo undcimotrmino es 224 y cuyo primer trmino es 7, la razncomn q es:Seleccione una respuesta.

a.

b.

c.

d. 2

7Puntos: 1La diferencia comn de la progresin aritmtica en lacual el tercer trmino es 1/3 y el cuarto trmino 2/5es:Seleccione una respuesta.

a.

b.

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c.

d.

8Puntos: 1

El lmite de las sucesin {(2-2n+3n3)/(3-5n-3n3)}cuando n tiende a infinito es:

Seleccione una respuesta.a. -1

b. 0

c. -1/3

d. 3

9Puntos: 1

EL lmite de una sucesin {(6n3+2n-1)/(3n3-5n2+2)}cuando n tiende a infinito es:

Seleccione una respuesta.a

b

c

d

10Puntos: 1

http://66.165.175.247/campus07_20131/filter/tex/displaytex.php?/frac{1}{15}http://66.165.175.247/campus07_20131/filter/tex/displaytex.php?/frac{1}{16}http://66.165.175.247/campus07_20131/filter/tex/displaytex.php?/frac{1}{15}http://66.165.175.247/campus07_20131/filter/tex/displaytex.php?/frac{1}{16}

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Dada la sucesin , determinar si esconvergente o divergente.Seleccione una respuesta.

a. Converge a 1.5

b. Converge a 2

c. Diverge a

d. Converge a 3

11

Puntos: 1

La sucesin {2n3/(5n3+3)2} es una sucesin:

Seleccione una respuesta.a. Convergente

b. Divergente

c. Constante

d. Oscilante

12Puntos: 1Dada la progresin geomtrica cuyo undcimotrmino es 224 y cuyo primer trmino es 7, la razn

comn q es:Seleccione una respuesta.

a.

b.

c. 2

d.

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7/30/2019 Act 5 Examen Calculo

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13Puntos: 1

La sucesin se clasifica como:

Seleccione una respuesta.a. Finita

b. Montona decreciente

c. Divergente

d. Concergente

14Puntos: 1

El enesimo termino para la sucesin cuyos primeros

5 trminos son respectivamente , es:

Seleccione una respuesta.

a.

b.

c.

d.

15Puntos: 1

El lmite de la sucesin cuando x tiende ainfinito es :

Seleccione una respuesta.

a.

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s07_20131/filter/tex/displaytex.php?/+(+a_n)+=+{+/frac{2n-1}{n-2}/http://66.165.175.247/campus07_20131/filter/tex/displaytex.php?/+(+a_n)+=+{+/frac{2n-1}{4n-2}/http://66.165.175.247/campus07_20131/filter/tex/displaytex.php?/+(+a_n)+=+{+/frac{2n+1}{4n-2}/http://66.165.175.247/campus07_20131/filter/tex/displaytex.php?/{/frac{3}{2},+/frac{5}{6},+/frac{7}{10},+/frac{9}{14},+/frac{11}{18},...(a_n)+/}+/http://66.165.175.247/campus07_20131/filter/tex/displaytex.php?/large~U_n=/left{{2-/frac{1}{n}/right}/http://66.165.175.247/campus07_20131/filter/tex/displaytex.php?/frac{2}{3}http://66.165.175.247/campus07_20131/filter/tex/displaytex.php?/frac{2x-3}{3x^2+++5x+-+3}http://66.165.175.247/campus07_20131/filter/tex/displaytex.php?/+(+a_n)+=+{+/frac{2n+1}{4n+2}/http://66.165.175.247/campus07_20131/filter/tex/displaytex.php?/+(+a_n)+=+{+/frac{2n-1}{n-2}/http://66.165.175.247/campus07_20131/filter/tex/displaytex.php?/+(+a_n)+=+{+/frac{2n-1}{4n-2}/http://66.165.175.247/campus07_20131/filter/tex/displaytex.php?/+(+a_n)+=+{+/frac{2n+1}{4n-2}/http://66.165.175.247/campus07_20131/filter/tex/displaytex.php?/{/frac{3}{2},+/frac{5}{6},+/frac{7}{10},+/frac{9}{14},+/frac{11}{18},...(a_n)+/}+/http://66.165.175.247/campus07_20131/filter/tex/displaytex.php?/large~U_n=/left{{2-/frac{1}{n}/right}/

7/30/2019 Act 5 Examen Calculo

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b.

c. Cero

d. Infinito

http://66.165.175.247/campus07_20131/filter/tex/displaytex.php?/frac{3}{5}