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TEA [102]
2 years ago
12

What is the rule for the nth term of the arithmatic sequence given below:

Mathematics
1 answer:
vaieri [72.5K]2 years ago
5 0

Answer:

  an = 5/2 +3/2(n -1)

Step-by-step explanation:

The common difference is ...

  4 -5/2 = 3/2

The general rule is ...

  an = a1 +d(n -1)

For a1 = 5/2 and d = 3/2, the rule for this sequence is ...

  an = 5/2 +3/2(n -1)

___

This can be simplified to ...

  an = 1 +3/2n

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Prove that the sum of all natural numbers is -1/12.
ankoles [38]
This is not true. The infinite series


\displaystyle\sum_{n=1}^\infty n

converges if and only if the sequence of its partial sums converges. The k-th partial sum is

\displaystyle\sum_{n=1}^kn=\frac{k(k+1)}2

but clearly this diverges as k gets arbitrarily large.
5 0
3 years ago
¿cuál es el número que no pertenece a esta suceción 99,105111,117,123,129,135,141,147,153
shepuryov [24]

No hay ninguno de los nimbers que no pertenezca a la secuencia.

<h3>¿Qué número no pertenece a la secuencia?</h3>

Sabemos que una secuencia tiene que ver con un arreglo de números en un orden definido. Todos los números en una secuencia deben tener la misma razón común o diferencia común.

Si miramos todos los números que están escritos en la secuencia, la diferencia común aquí es seis. Se sigue entonces que todos los números son parte de la sucesión y no hay ninguno de los números que no pertenezca a la sucesión.

Obtenga más información sobre la secuencia: brainly.com/question/21961097

#SPJ1

7 0
2 years ago
The Department of Commerce in a particular state has determined that the number of small businesses that declare bankruptcy per
skad [1K]

Answer:

B) 0.1487

Step-by-step explanation:

Let X be the discrete random variable that represents the number of events observed over a given time period.  If X follows a Poisson distribution, then the probability of observing k events over the time period is:

P(X=k)=\frac{\lambda^{k} *e^{-\lambda} }{k!}

Where:

\lambda=Mean\\k=number\hspace{3}of\hspace{3}events\\e=Euler's\hspace{3}number

So, the probability that exactly 5 bankruptcies occur next month is:

P(X=5)=\frac{6.4^{5} *e^{-6.4} }{5!} =\frac{17.84083537}{120} =0.1486736281\approx0.1487

4 0
2 years ago
Rating Frequency Present Frequency Excellent 18 _______Very Good 25 _______Good 4 _______Fair 1 2Poor 2 4 Total 50 100What do th
nata0808 [166]

Answer:

a) Rating Frequency Percent Frequency

Excellent 18 ___36%____Very Good 25 ___50%____Good 4 ___8%____Fair 1   2% Poor 2  4%  Total 50 100 What do these summaries indicate about the overall customer satisfaction with the Delta flight? ____94%______ % customers are satisfied with the Delta Flight Et either a good, very good, or excellent rating. Only ____6%_______% of customers rated the Delta flight Fair or Poor.

b. The online survey questionnaire enabled respondents to explain any aspect of the flight that Failed to meet expectations. Would this be helpful information to a manager looking for ways to improve the overall customer satisfaction on Delta flights? Explain.

Allowing survey respondents to explain their 5-point scale responses would provide helpful information to managers looking for ways to improve customer satisfaction on Delta flights. The ____6______% respondents indicating that the flight failed to meet expectations would have the opportunity to provide detailed information about their expectations.

Step-by-step explanation:

a) Data and Calculations:

                  Rating Frequency     Percent Frequency

Excellent                18                       ____36%___

Very Good            25                       ____50%___

Good                       4                       ____  8%___

Fair                          1                        ____  2%___

Poor                        2                       _____4% __

Total                     50                               100%

b) Percentage Frequencies are obtained as follows:

Excellent = 18/50 * 100 = 36%

Very Good = 25/50 * 100 = 50%

Good = 4/50 * 100 = 8%

Fair = 1/50 * 100 = 2%

Poor = 2/50 * 100 = 4%

c) Good, very good, and excellent = 47/50 * 100 = 94%

d) Fair or Poor rating = 3/50 * 100 = 6%

 

e) Moreover, dissatisfied customers can be sources of great information on the performance of a good or service.  Though, with only 6% of customers giving a dissatisfaction rating with the Delta flights, it is still important to dive deep to unearth the reasons for their dissatisfaction as this may provide valuable information to improve the services.  Usually, this class of customers is the most sincere in most cases, unless their dissatisfaction can be proved to be attitudinal on their own part.

6 0
3 years ago
Whats 65 divided by 1300
Papessa [141]

Answer:

65 divided by 1300 is 20.

7 0
3 years ago
Read 2 more answers
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