Evan - REALLY good hint
Solution:
1 + 99 = 100
2 + 98 = 100
.
.
.
49 + 51 = 100
49 times 100 = 4900 + 50 + 100 = 5050
And for you math majors (that can remember equations)
Sum = n times the quantity low plus high all divided by 2
or S = n times ( low plus high ) / 2
where
S = the sum
n = the number of terms in the series
low = the low number in the series
high = the high number in the series
So sum = 100 ( 1 + 100) / 2
or 100 times 101 / 2
or 10100 / 2
or 5050
But I would never consider letting my students use the equation until they understood its derivation.
And to the OP, my apologies for the diversion, but a little application of mathematics shows why your vehicle will run better with something other than your existing unit and your proposed possible purchase.
Jon.
