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iren2701 [21]
3 years ago
10

Hellppp what statement is true???

Mathematics
1 answer:
miss Akunina [59]3 years ago
8 0
I’m not sure, I think the second
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What are all values of x for which the series shown converges? ​
adoni [48]

Answer:

One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:

Iaₙ₊₁I < IaₙI

This means that the absolute value of the terms must decrease as n increases.

Then we must have:

\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}}

We can write this as:

\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}} = \frac{(x -2)^n}{(n + 1)*3^n} * \frac{(x - 2)}{3}

If we assume that n is a really big number, then:

n + 1 ≈ 1

And we can write:

\frac{(x -2)^n}{n*3^n} > \frac{(x -2)^n}{(n)*3^n} * \frac{(x - 2)}{3}

Then we have the inequality

1 > (x - 2)/3

And remember that this must be in absolute value, then we will have that:

-1 < (x - 2)/3 < 1

-3 < x - 2 < 3

-3 + 2 < x < 3 + 2

-1 < x < 5

The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.

5 0
3 years ago
One roll of carpet covers 900 square feet. how many rolls of carpet would be needed for a room that is 40ft. x 60ft.?
harina [27]
3 rolls of carpet

the square footage of 40ft*60ft=2,400
well then you divide it and you would need 3 rolls because the answer is 2.6 and then you would just round up
7 0
4 years ago
Read 2 more answers
The distance on the number line from -10 to -2 equals 5x – 12. What is the value of x?
Troyanec [42]

It would be: - 2 - (-10) = 5x - 12

= -2 + 10 = 5x - 12

= 8 + 12 = 5x

= x = 20 / 5

= x = 4

4 0
3 years ago
A teacher is making multiple copies of a 1−page homework assignment. The time it takes her in seconds based on the number of cop
avanturin [10]

Answer: I'm on it give me just a minute!!

6 0
3 years ago
Use the polynomial 3x^2−4x^11+4x^4−2x^10−5+^8x^8 to answer the question. 
Anit [1.1K]

Answer: 11

<u>Step-by-step explanation:</u>

3x² - 4x¹¹ + 4x⁴ - 2x¹⁰ - 5 + 8x⁸

To find the degree, look for the largest exponent.  <em>11</em>

If you put this polynomial in standard form (from largest to smallest exponent), the first term will give you the degree of the polynomial and the leading coefficient.

- 4x¹¹ - 2x¹⁰ + 8x⁸ + 4x⁴ + 3x² - 5

4 0
3 years ago
Read 2 more answers
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