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3 years ago

Use the distributive property to solve 5(x-4)

Mathematics

1 answer:

Gre4nikov [31]3 years ago

8 0

Answer:

5x-20

Step-by-step explanation:

5(x-4)

5x- (5 x 4)= 20

5x - 20

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Find the radius of convergence, r, of the series. ∞ xn 2n − 1 n = 1 r = 1 find the interval, i, of convergence of the series. (e

Bingel [31]

Assuming the series is

$\displaystyle\sum_{n\ge1}\frac{x^n}{2n-1}$

The series will converge if

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{2(n+1)-1}}{\frac{x^n}{2n-1}}\right|$

We have

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{2(n+1)-1}}{\frac{x^n}{2n-1}}\right|=|x|\lim_{n\to\infty}\frac{\frac1{2n+1}}{\frac1{2n-1}}=|x|-\lim_{n\to\infty}\frac{2n-1}{2n+1}=|x|$

So the series will certainly converge if $-1$ , but we also need to check the endpoints of the interval.

If $x=1$ , then the series is a scaled harmonic series, which we know diverges.

On the other hand, if $x=-1$ , by the alternating series test we can show that the series converges, since

$\left|\dfrac{(-1)^n}{2n-1}\right|=\dfrac1{2n-1}\to0$

and is strictly decreasing.

So, the interval of convergence for the series is $-1\le x$ .

6 0

3 years ago

#1 Factors Which of these numbers is a factor of 49? a. 9 b. 7 C. 6 d. 5

Vesna [10]

Answer = b. 7

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3 years ago

Find the value of x²-8y³-36xy-216 when X=2y-6

Degger [83]

Answer:

4y²+112y+10

Step-by-step explanation:

not rly sure ya :)

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3 years ago

21/x=84/120 solve the proportion

Nimfa-mama [501]

Answer: X= 30

Step-by-step explanation:

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3 years ago

05.02 MC)

Natalka [10]

Add the two bases together, divide by 2 then multiply by the height.

8+6 = 14

14/2 = 7

7x5 = 35

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3 years ago