The Sum of first N consecutive odd integers is N^2. What is the sum of all odd integers between 13 and 31 inclusive.	Select.
A) 220 B) 364 C) 410 D) 424 E) 450
We're dealing with a sequence of CONSECUTIVE ODD INTEGERS: 13 to 31, inclusive. We're asked for the SUM of this group.   1) Start with the sum of the smallest and the biggest:   13 + 31= 
<gadget id="calculator">  13 + 31</gadget>
<output>44</output>
44   2) Now look at the 'next smallest' and the 'next biggest': 15 + 29= 
<gadget id="calculator">15 + 29</gadget>
<output>44</output>
44   Now we have proof that there is no middle term. We have 5 bunches of 44   5(44)= 220   220
<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 31 inclusive.