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3 years ago

Find the sum of the infinite series1/3+4/9+16/2764/81... if it exists.

Mathematics

1 answer:

nata0808 [166]3 years ago

8 0

Answer:

It does not exist.

Step-by-step explanation:

If we divide the second term by the first, 3rd by the 2nd and the 4th by the 3rd we get a constant result 4/3.

So this is a Geometric Series with common ratio r = 4/3 and a1 = 1/3.

As the common ratio is greater than 1 the series diverges ( continues to get bigger) so there is no sum to infinity. It just goes on getting bigger and bigger without bounds.

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Explain your answer !! <br> Have a nice day <br><br> Will give braisnlt

Fudgin [204]

I NEED POINT ILYSM AND I HOPE U HAVE A WONDERFUL DAY AND U ARE LOVED AND ILYSM MWA

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2 years ago

Solve for x using zeros of function method<br>-x³+2x²+x-2=0

Naya [18.7K]

Answer:

x = - 1, x = 1, x = 2

Step-by-step explanation:

The coefficients of the polynomial sum to zero, that is

- 1 + 2 + 1 - 2 = 0

This indicates that x = 1 is a zero

let x = - 1, then

- (- 1)³ + 2(- 1)² + (- 1) - 2 = 1 + 2 - 1 - 2 = 0

Thus x = - 1 is a zero

let x = 2

- (2)³ + 2(2)² + 2 - 2 = - 8 + 8 + 2 - 2 = 0

Thus x = 2 is a zero

The 3 zeros are x = - 1, x = 1, x = 2

3 0

3 years ago

Which of the following equations has the same solutions as the equations 3x+2y=-12

Marianna [84]

B, C, E, F

<h2>Explanation:</h2>

In this problem, we have the following equation of a line written in Standard form:

$3x+2y=-12$

So we need to choose the equations that has the same solutions as this equation. If we multiply each equation by a constant term and find the same solution as the given equation, then they will have the same solution. This is only true fro options B, C, E and F.

Option B.

$-3x-2y= 12 \\ \\ Multiply \ both \ sides \ by \ -1: \\ \\ (-1)(-3x-2y)=(-1)(12) \\ \\ 3x+2y=-12$

So we get the same given equation. This option is valid!

Option D.

$15x+10y= -60 \\ \\ Multiply \ both \ sides \ by \ 1/5: \\ \\ (\frac{1}{5})(15x+10y)=(\frac{1}{5})(-60) \\ \\ 3x+2y=-12$

So we get the same given equation. This option is valid!

Option E.

$6x+2y= -12 \\ \\ Multiply \ both \ sides \ by \ 1/2: \\ \\ (\frac{1}{2})(6x+2y)=(\frac{1}{2})(-24) \\ \\ 3x+2y=-12$

So we get the same given equation. This option is valid!

Option F.

$1.5x+y= -6 \\ \\ Multiply \ both \ sides \ by \ 2: \\ \\ (2)(1.5x+y)=(2)(-6) \\ \\ 3x+2y=-12$

So we get the same given equation. This option is valid!

For the other options, there is no any constant term that multiplies both sides of the equation and gives us the same given equation.

<h2>Learn more:</h2>

About this subject: brainly.com/question/8810210

#LearnWithBrainly

7 0

3 years ago

X + 1 / 2 - 1 = 1 / 4

Nimfa-mama [501]

First, make the mixed fraction into improper fraction,

x−12=54

Add 1/2 on both sides

x−12+12=54+12

Find LCM,

LCM is 4

x=54+1⋅22⋅2

x=54+24

Add

x=74

Or,

x=134

Or,

x=1.75

X=1.75 IS YOUR ANSWER!

Hope this helps!

Have a great day: )

- Hailey:)

(Nothing copied or pasted!!!!!)

7 0

3 years ago

Simplify 5x + 3y - 2x

Blababa [14]

It is 5x+y . i think so

8 0

2 years ago

Find the sum of the infinite series1/3+4/9+16/2764/81... if it exists.​

Find the sum of the infinite series1/3+4/9+16/2764/81... if it exists.