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:

We can write this as:

If we assume that n is a really big number, then:
n + 1 ≈ 1
And we can write:

Then we have the inequality

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.
Answer:
im so sorry but i need to finish my challenge
Step-by-step explanation:
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.
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.
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.

<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:


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