The Sum of first N consecutive odd integers is N^2. What is the sum of all odd integers between 13 and 35 inclusive.  Answers
A) 288	B) 364	C) 410	D) 424	E) 450
We're dealing with a sequence of CONSECUTIVE ODD INTEGERS: 13 to 35, inclusive. We're asked for the SUM of this group.   1) Start with the sum of the smallest and the biggest:   13 + 35= 
<gadget id="calculator">  13 + 35</gadget>
<output>48</output>
48   2) Now look at the 'next smallest' and the 'next biggest': 15 + 33= 
<gadget id="calculator">15 + 33</gadget>
<output>48</output>
48   Now we have proof that there is no middle term. We have 6 bunches of 48.   6(48)= 288   288
<result>A</result>
The Sum of first N consecutive odd integers is N^2. What is the sum of all odd integers between 13 and 35 inclusive.