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ddd [48]
3 years ago
11

-2 √15 ( -3 √3 + 3 √5

Mathematics
1 answer:
aivan3 [116]3 years ago
8 0
Answer:
????
Explanation: can you explain what you want me to do?
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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
John is going to the store. His house is located 3 miles south and 4 miles east from the
IRISSAK [1]

Answer:

im so sorry but i need to finish my challenge

Step-by-step explanation:

8 0
3 years ago
There are 5,280 feet in a mile. If a cloud is 5.3 miles above the
Ivenika [448]

Answer:

996.2

Explanation:

There are 5,280 feet in a mile. If a cloud is 5.3 miles above the

ground, so you divide 5,280 by 5.3, so it is about 996.2.

7 0
3 years ago
Brian bought a 15 pound bag of comcrete. he split the bag into smaller bags that each hold two and a half pounds. how many small
Westkost [7]
Okay.  You have 15 lbs of concrete, and x bags that can individually hold 2.5 lbs.  What you need to do is divide 15 by 2.5, and the quotient will be 6.
Problem:  15 ÷ 2.5 = 6
So the answer to your problem will be: 6 bags.
3 0
3 years ago
Read 2 more answers
Ariane borrows $200 on a 5 year loan she is charged 5% simple interest how much interest is she charged for 5 years what is the
ycow [4]

Answer:

Interest: $50 | Total: $250

Step-by-step explanation:

You are going to want to use the simple interest formula for this. The one below is modified for solving the interest earned.

I = Prt

<em>I = interest amount </em>

<em>P = principal amount </em>

<em>r = interest rate (decimal form) </em>

<em>t = time</em>

<em />

Now we can plug in the values into the equation:

I = 200(.05)(5)

I = 50

This means that Ariane is charged $50 worth of interest. She has to pay back $250 total dollars.

3 0
3 years ago
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