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Ilya [14]
3 years ago
10

Which number sentence is not true?

Mathematics
1 answer:
kherson [118]3 years ago
7 0

Answer:

Option A is correct option

Step-by-step explanation:

We need to find which number sentence is not true.

We will check each option.

Option A

|-20| < 20

We know that |-a|=a

20 < 20 (false)

So, this number sentence is not true.

Option B

|9| = 9

We know that |a|=a

9=9 (true)

So, this number sentence is true.

Option C

|-20|>|9|

We know that |-a|=a

20>9 (true)

So, this number sentence is true.

Option D

|9| < 20

We know that |a|=a

9<20

So, this number sentence is true.

So, Option A is correct option

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Dada la sucesión an = 1700 + 4,1· n2 + 304,9· n
shutvik [7]

Concluimos que la opción correcta es <em>"Solo II"</em>.

Una expresión es una sucesión aritmética si y solo si existe entre dos elementos <em>consecutivos</em> cualesquiera de la serie la misma diferencia. La sucesión aritmética es definida por una expresión de la forma:

a_{n} = a + b\cdot n, n\in \mathbb{N} (1)

Donde a,b son coeficientes de la sucesión.

Asimismo, una expresión es una sucesión geométrica si y solo si entre dos elementos <em>consecutivos</em> cualesquiera de la serie existe la misma razón. La sucesión geométrica es definida por una expresión de la forma:

a_{n} = a\cdot r^{b\cdot n}, n\in \mathbb{N} (2)

Donde a, b, r son coeficientes de la sucesión.

Por último, una expresión es una sucesión monótona creciente si dados dos elementos <em>consecutivos</em> de una serie, el elemento posterior es siempre mayor que el elemento anterior. Matemáticamente, debe satisfacerse la siguiente condición:

\frac{a_{n+1}}{a_{n}} > 1, n\in \mathbb{N} (3)

Esta claro por inspección directa que la sucesión dada no es aritmética ni geométrica y cabe comprobar si es monótona creciente. Valiéndonos de (3), realizamos las operaciones algebraicas pertinentes:

r = \frac{1700 + 4,1\cdot (n+1)^{2}+304,9\cdot (n+1)}{1700 + 4,1\cdot n^{2}+304,9\cdot n}

r = \frac{1700+4,1\cdot (n^{2}+2\cdot n +1) +304,9\cdot (n+1)}{1700 + 4.1\cdot n^{2}+304,9\cdot n}

r = \frac{1700+4,1\cdot n^{2}+304,9\cdot n+4,1\dot (2\cdot n +1) +304.9}{1700+4,1\cdot n^{2}+304,9\cdot n}

r = 1 + \frac{8,2\cdot n +309}{1700 + 4,1\cdot n^{2}+304,9\cdot n}

Como puede apreciarse, r > 1. Por tanto, la sucesión es monótona y creciente.

En consecuencia, concluimos que la opción correcta es <em>"Solo II"</em>.

Invitamos cordialmente a leer esta pregunta sobre sucesiones: brainly.com/question/21709418

4 0
3 years ago
Two solid spheres have surface areas of 1441 cm? and 2567 cm² respectively. They are melted and recast to form a larger sphere.
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Surface area of small sphere = 1441cm^2

Surface area of bigger sphere = 2567cm^2

Surface area of largest sphere = 1441 + 2567

= 4008cm²

Must click thanks and mark brainliest

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irinina [24]

Answer:

7.2

0.76

6.4

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bagirrra123 [75]
This means that X in the equation equals -1
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The answer is x=50

Hope this help!

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