Easiest Math Question?

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What is the answer to this equation given that the numbers are increasing by 1?

0-1+2-3+4-5+6........+n

No Answer

\frac{n+1}{2}

\frac{n}{2}

\frac{n}{2}

2 solutions

Robert De Guzman
Dec 15, 2014

To simplify the problem, it looks just like Even - Odd + Even - Odd. In 100 numbers, if you remove all odds, you get 50, which is $\frac{100}{2}$ .

So if you have +n numbers, the answer would be $\frac{n}{2}$ .

Young Champ
Dec 15, 2014

No. of even numbers=n/2

No. of odd numbers=n/2

Sum of odd numbers= (n/2)^2

Sum of even numbers=(n/2)(n/2+1)

Answer=Sum of even numbers-Sum of odd numbers

=(n/2)^2 + (n/2) - (n/2)^2

=n/2