Algebra
posted by Phillip on .
Cant figure out what to do (equations)
1)Find three consecutive even integers with a sum of 30
2)Find four consecutive integers with a sum of 26

n2, n, n+2
n2 + n + n+2 = 30
3 n = 30
n=10
so
12 , 10, 8
=======================
n + n+1 + n+2 + n+3 = 26 etc 
I get it but why do we do n2?

The second one equals to 32

I did n2 to get n in the middle so I would get a simple 3n on the left. I could just as well have used:
n + n+2 + n+4
or
n4 + n2 + n 
Also notice that the fact that it is odd or even is not used. Luckily it comes out with n even.