Answer:
1583.90
Step-by-step explanation:
Khan academy
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:
Answer:
2 + m- 1 + m
Step-by-step explanation:
3m +1 -m
Combine like terms
3m-m +1
2m +1
We can split the m's
m+m +1
And we can rewrite 1 as 2-1
m+m+2-1
m+2+m-1
Rearranging the order
Answer:

Step-by-step explanation:
is the same as 4/3 so you'd be multiplying 4/3 x 4/3 so you multiply straight across to get 16/9 when you simplify you are left with 1 7/9
Hope that helps and have a great day!