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svetlana [45]
3 years ago
8

Help me please...........

Mathematics
2 answers:
mrs_skeptik [129]3 years ago
7 0

Answer:

6/19

Step-by-step explanation:

marysya [2.9K]3 years ago
6 0

Answer:

6/19 subtracting 3 each time form the numerator

Step-by-step explanation:

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Find the constant of proportionality from the table below
vfiekz [6]
Its kind of blurry
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6 0
3 years ago
What's the intuition behind the equation 1+2+3+⋯=−1121+2+3+⋯=−112 ?
Aleks [24]
The sum clearly diverges. This is indisputable. The point of the claim above, that

1+2+3+\cdots=-\dfrac1{12}

is to demonstrate that a sum of infinitely many terms can be manipulated in a variety of ways to end up with a contradictory result. It's an artifact of trying to do computations with an infinite number of terms.

The mathematician Srinivasa Ramanujan famously demonstrated the above as follows: Suppose the series converges to some constant, call it C. Then

\begin{matrix}C&=&1&+2&+3&+4&+5&+6&+\cdots\\4C&=&&+4&&+8&&+12&+\cdots\\-3C&=&1&-2&+3&-4&+5&-6&+\cdots\end{matrix}

Now, recall the geometric power series

\displaystyle\sum_{n\ge0}x^n=1+x+x^2+x^3+\cdots=\dfrac1{1-x}

which holds for any |x|. It has derivative

\displaystyle\sum_{n\ge1}nx^{n-1}=1+2x+3x^2+4x^3+\cdots=\dfrac1{(1-x)^2}

Taking x=-1, we end up with

1+2(-1)+3(-1)^2+4(-1)^3+\cdots=1-2+3-4+\cdots=\dfrac14

and so

-3C=\dfrac14\implies C=-\dfrac1{12}

But as mentioned above, neither power series converges unless |x|. What Ramanujan did was to consider the sum 1-2+3-4+\cdots as a limit of the power series evaluated at x=-1:

\displaystyle-3C=\lim_{x\to-1^+}\sum_{n\ge1}nx^{n-1}=\lim_{x\to-1^+}\frac1{(1-x)^2}=\frac14

then arrived at the conclusion that C=-\dfrac1{12}.

But again, let's emphasize that this result is patently wrong, and only serves to demonstrate that one can't manipulate a sum of infinitely many terms like one would a sum of a finite number of terms.
4 0
3 years ago
Can someone help me please
Anna007 [38]

Im not sure how to help here sorry friend

7 0
3 years ago
I need help with the worksheet
kari74 [83]

Answer:

pootis

Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
What is the solution to : 3(1/2 m - 3) =45
VladimirAG [237]

Answer:

m=36

Step-by-step explanation:

We can solve for this equation by isolating m on one side. To do this, we can "reverse" the equation.

3(\frac{1}{2}m - 3) = 45

Let's divide both sides by 3.

3(\frac{1}{2}m-3)\div3 = 45\div3\\\\\frac{1}{2}m - 3 = 15

Add 3 to both sides:

\frac{1}{2}m - 3 + 3 = 15 + 3\\\\\frac{1}{2}m = 18

Multiply both sides by two (since \frac{1}{2}\cdot2=1)

\frac{1}{2}m \cdot 2 = 18 \cdot 2\\\\m = 36

Hope this helped!

6 0
3 years ago
Read 2 more answers
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