<p>The sum of the positive odd integers less than 100 is subtracted from the sum of the positive even integers less than or equal to 100. What is the resulting difference?</p>
<p>I'd appreciate some help here!</p>
<p>Is the answer 50??</p>
<p>The hard way to do this is (2 + 4 + 6 + … + 98 + 100) - (1 + 3 + 5 + … + 97 + 99).</p>
<p>The easy way to do this is (2-1) + (4-3) + (6-5) + … + (98-97) + (100-99).</p>
<p>Each of those differences is 1. There are 50 of those differences.</p>