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
gogolik [260]
3 years ago
11

Determine whether the sequence converges or diverges. If it converges, give the limit.

Mathematics
1 answer:
joja [24]3 years ago
7 0

Answer:

  Converges; 51 3/7

Step-by-step explanation:

The common ratio is -10/60 = (5/3)/-10 = (-5/18)/(5/3) = -1/6.

Then the sum of the sequence is given by ...

  S = a1/(1 -r) = 60/(1 -(-1/6))

  S = 60/(7/6) = 360/7

  S = 51 3/7

_____

If you erroneously evaluate the formula for the sum using +1/6 as the common ratio, then you will get S=60/(1-1/6) = 60·6/5 = 72.

You might be interested in
X+3-5x+7+4y simplify
Kisachek [45]
Combine like terms ,

-4x+4y+10
5 0
3 years ago
Which two of the following are applications of the Logarithmic model? *
sukhopar [10]

Answer:

Richter Scale and Acidity/Alkalinity

Step-by-step explanation:

College GPA is modelled by weighted means, Compound Interest uses a potential model, amortization schedule is based on succesions, whereas Richter Scale and Acidity/Alkalinity use logartihmic model.

7 0
3 years ago
Abigail mixes 2/3 pounds of walnuts with 3/5 pound of dried fruit. To create more of the same mixture, how many pounds of walnut
nignag [31]
1 1/9

To figure out how much walnuts to a pound of dried fruit you’d need to do proportions. So we cross multiply:

2/3 = X
—————- —————-
3/5 = 1

You multiply diagnols 2/3 x 1 = 2/3
3/5 times x is 3/5x.

2/3 = 3/5x. Isolate the variable. Divide 3/5 on both sides cancel out 3/5. 2/3 divide by 3/5 is 2/3 x 5/3 which is 10/9 which equals 1 1/9.

So for 1 lb of dried fruit you need 1 1/9 lb of walnuts to maintain the same mixture
7 0
3 years ago
Sea un cuadrado de 2 pulgadas de lado uniendo los puntos medios se obtiene otro cuadrado inscrito en el anterior si repetimos es
Ne4ueva [31]

Answer:

1) La serie geométrica formada es

4, 2, 1,..., ∞

2) La suma al infinito de las áreas de los cuadrados es 8 in.²

Step-by-step explanation:

1) El área del primer cuadrado, a₁ = 2² = 4 pulgadas²

El área del siguiente cuadrado, a₂ = (√ (1² + 1²)) ² = (√2) ² = 2 pulg²

El área del siguiente cuadrado, a₃ = ((√ (2) / 2) ² + (√ (2) / 2) ²) = 1 pulg²

Por lo tanto, la razón común, r = a₂ / a₁ = 2/4 = a₃ / a₂ = 1/2

Las áreas de los cuadrados progresivos forman una progresión geométrica como sigue;

4, 4×(1/2), 4 ×(1/2)²,...,4×(1/2)^{\infty}

De donde obtenemos la serie geométrica formada de la siguiente manera;

4, 2, 1,..., ∞

2) La suma de 'n' términos de una progresión geométrica hasta el infinito para -1 <r <1 se da como sigue;

S_{\infty} = \dfrac{a}{1 - r}

Por lo tanto, la suma de las áreas de los cuadrados hasta el infinito se obtiene sustituyendo los valores de 'a' y 'r' en la ecuación anterior de la siguiente manera;

La \ suma \ al \ infinito \ del \ cuadrado \ S_{\infty}  = \dfrac{4 \ in.^2}{1 - \dfrac{1}{2} } = \dfrac{4 \ in.^2}{\left(\dfrac{1}{2} \right)} = 2 \times 4 \ in.^2= 8 \ in.^2

La suma al infinito de las áreas de los cuadrados, S_{\infty} = 8 in.²

7 0
3 years ago
Is x+y=10 linear or non
fiasKO [112]

Answer:

Not

Step-by-step explanation:

In this case, the degree of variable y is 1 , the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.

6 0
3 years ago
Other questions:
  • a spinner is divided into nine equal sections numbered 1 through 9. predict how many times out of 270 spins the spinner is most
    6·1 answer
  • What is 30 feet = yrds
    7·2 answers
  • HEEELLLPPPPP Olaf has 250 files saved on an external hard drive. Of those files, 12% are photos.
    10·2 answers
  • What’s the variance
    14·1 answer
  • Suppose three marksmen shoot at a target. The ith marksman fires ni times, hitting the target each time with probability Pi, ind
    5·1 answer
  • The standard length of a
    5·2 answers
  • Which are differences of perfect cubes? Select two options
    7·2 answers
  • What is tan A? <br> Tan A =
    7·1 answer
  • Find 32% of $115.00.
    9·2 answers
  • A = 6 - 35 B = 3x + 53<br> Solve for x then find the measure of A.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!