Hello there, and thank you for posting your question here on brainly.
Short answer: C. Product of 2 rational numbers = a rational number.
Why?
The numbers are both rational because squared is a result of a number multiplied by itself. Like (3^2 = 9). It turns out as a rational number because you're multiplying by two positive numbers, which always turns out as a rational number. (3^2 * 4^2 ==> 144) [3^2 = 9] [4^2 = 16]
Hope this helped you! ♥
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:
D: New York City is the correct answer
Answer:
Step-by-step explanation:
I know that the two means are are 11.28 and 12.
I could be wrong but I did the math 5 times.
Again, a spreadsheet or suitable calculator makes this short work.
The sum is 184.
_____
The terms being summed are ...
2·3² +3 = 2·9 +3 = 18 +3 = 21
2·4² +3 = 35
2·5² +3 = 53
2·6² +3 = 75
Their total is
21 +35 +53 +75 = 184