Using algebra
n and n+2 are the integers
n*(n+2)=288
n^2+2n=288
n^2+2n-288=0
288=2*2*2*2*2*3*3=(2*2*2*2)*(2*3*3)=16*18 and 18-16=2
factor(n+18)(n-16)=0
n+18=0
n=-18
n+2=-16
this is one solution
n-16=0
n=16
n+2=18
this is another solution
as you can see, it's just a matter of factoring 288using arithmetic...√288=16.97≈1716 and 18 are the integers (as well as -16 and -18)
Using the formula y=200+50x, plug in x=1 to get y=250.
Y=mx+b
m=slope
b=y intercept, aka where the line crosses the y axis or where x=0
we can find the y axis by looking
it crosses the y axis at 4 units up
so
b=4
y=mx+4
we also se another point
(-5,0)
when x=-5, y=0
0=m(-5)+4
solve for m
0=m(-5)+4
subtract 4
-4=m(-5)
divide both sides by -5
-4/-5=4/5=m
equaiton is
y=4/5x+4
y=0.8x+4
D = -(8-5) = -3
a = 47
an = a + (n-1)d = 47 + (-3) = 47 - 3 = 44
