1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
k0ka [10]
3 years ago
8

Dada la sucesión an = 1700 + 4,1· n2 + 304,9· n

Mathematics
1 answer:
shutvik [7]3 years ago
4 0

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

You might be interested in
What is the product if (3x+2) and (x-7)?
weqwewe [10]
(3x+2)(x-7)

All you need to do is FOIL.

3x^2-7x+2x-14

3x^2-5x-14
3 0
3 years ago
A necklace is being made with beads that are each 1.25 centimeters in diameter. How many beads does it take to make a necklace t
Oliga [24]

Answer: $3.60 will be spent on the necklace.

Step-by-step explanation:

to solve this problem we have to divide the length of the necklace (30cm ) by the diameter of each bead (1.25) to obtain the number of beads needed for the necklace.

So, mathematically speaking:

30 cm / 1.25 cm =24 beads

Now, we have to multiply the number of beads by the cost of each one ($0.15).

24 x 0.15=  $3.60

S000, $3.60 will be spent on the necklace.

- Katsuki Bakugou

3 0
3 years ago
What’s the answer to this
grigory [225]

Answer:

A.  x = -5/6  and  x = 1/2.

Step-by-step explanation:

12x^2 + 4x - 5 = 0

Use the 'ac' method to try to factor this:

Consider the above highlighted numbers:

12 * -5 = -60.

Now we need 2 numbers whose product is -60 and whose sum is +4.

They are -6 and +10, so we replace the + 4x by -6x + 10x:

12x^2 - 6x + 10x - 5 = 0   Now factor by grouping:

6x(2x - 2) + 5(2x - 1) = 0   The 2x -1 is common, so:

(6x + 5)(2x - 1) = 0

So x = -5/6  and  x = 1/2.

3 0
2 years ago
2x²-5x-6=0 What are the values for a,b,c of the equation in standard form?​
zlopas [31]

Answer:

Standard form: 2x²-5x+12=0

a=2 b=-5 c=12

Step-by-step explanation:

2(x+3)²-5x=6

2(x²+9)-5x-6=0

2x²+18-5x-6=0

2x²-5x+18-6=0

2x²-5x+12=0

a=2 b=-5 c=12

8 0
1 year ago
The HCF of x and 12 is 6. the LCM of x and 12 is 180. find the value of x.​
frosja888 [35]

Answer:

can we are friend in brainly please give me your intro

5 0
2 years ago
Other questions:
  • On a calendar of 31 days what are the prime numbers
    15·2 answers
  • Eric traveled to three cities on a single highway. The distance from his original location to the first city was 100 miles more
    6·1 answer
  • The isosceles trapezoid is part of an isosceles triangle with a 32° vertex angle. What is the measure of an acute base angle of
    14·1 answer
  • 4√6+2√6-√6 <br><br> ?????????????????????????
    10·1 answer
  • What is 7 times the 6th power?
    13·1 answer
  • Jenny has bought 24 pounds of dog food. She feeds her dog 3/8 pounds for each meal. For how many meals will the food last?
    13·1 answer
  • 75,300,207 in word form
    9·1 answer
  • Find me the answer please ​
    7·2 answers
  • Please help and please explain, thank you:)​
    11·2 answers
  • Simplify (5^0+4^-0•5)^2​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!