The sum of the first 40 positive even integers is 2,550. What is the sum of the odd integers from 101 to 200, inclusive?
Choose the correct choice from the following answers
A) 6,500 B) 7,500 C) 10,500 D) 15,000 E) 19,600
101+103+.......199   If we remove 100 from each of these it will be sum of 1st 100 odd numbers.   so 101+103+.......199 = 40 * 100 + (1+3+5+7+......)   sum of 1st 100 natural numbers = (100 * 101) / 2= 
<gadget id="calculator">(100 * 101) / 2</gadget>
<output>5_050</output>
5050   Sum of 1st 40 positive even integers= 2550   sum of 1st 100 odd numbers = 5050 - 2550= 
<gadget id="calculator">5050 - 2550</gadget>
<output>2_500</output>
2500   so 101+103+.......199= 40 * 100 + (1+3+5+7+......) = 4000 + 2500= 
<gadget id="calculator">4000 + 2500</gadget>
<output>6_500</output>
6500   6,500 is the answer.
<result>A</result>
The sum of the first 40 positive even integers is 2,550. What is the sum of the odd integers from 101 to 200, inclusive?