Answer:

Step-by-step explanation:
Assuming the problem is asking you to factor out the formula, it can be done easily by finding a common number with the two givens.
4 goes into both 12 and 16 evenly, so we will use this to factor. But that's not all, we have the n-variable to worry about.
Look at the n-variable exponents in the problem, take the highest power that can go be subtracted from both and use that. We have a
and
. Since 5 can't go into 3, we must use 3 to factor.
Our factoring variable will therefore be
. Now, use this to simply divide and get the answer:

So how did we get this? For the whole numbers, we have to divide: (12/4, 16/4). Next, we have to minus the exponents since we are dividing.
When dividing the 12 and 4, minus the
and
to get
. Get rid of the
term for the 16 and leave the 4. And there's your answer!
Answer:
I think the answer is 46 because 9 + 23 + 7 + 7 = 46.
Step-by-step explanation:
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Answer:
B, C D
Step-by-step explanation:
Inequalities are the "alligators" < or > or the "alligators" with lines ≤ or ≥
< less than
>greater than
≤ less than or equal to
≥ greater than or equal to
Let's start from what we know.

Note that:

(sign of last term will be + when n is even and - when n is odd).
Sum is finite so we can split it into two sums, first

with only positive trems (squares of even numbers) and second

with negative (squares of odd numbers). So:

And now the proof.
1) n is even.
In this case, both

and

have

terms. For example if n=8 then:

Generally, there will be:

Now, calculate our sum:



So in this case we prove, that:

2) n is odd.
Here,

has more terms than

. For example if n=7 then:

So there is

terms in

,

terms in

and:

Now, we can calculate our sum:




We consider all possible n so we prove that: