The sum of the first 92 positive even integers is 2,550. What is the sum of the odd integers from 101 to 200, inclusive?  Choices.
A) 5,050
B) 7,500
C) 10,500
D) 11,700
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 = 92 * 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 92 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= 92 * 100 + (1+3+5+7+......) = 9200 + 2500= 
<gadget id="calculator">9200 + 2500</gadget>
<output>11_700</output>
11700   11,700 is the answer.
<result>D</result>
The sum of the first 92 positive even integers is 2,550. What is the sum of the odd integers from 101 to 200, inclusive?