The Sum of first N consecutive odd integers is N^2. What is the sum of all odd integers between 13 and 35 inclusive.  Choose the correct choice from the following
A) 288
B) 364
C) 410
D) 424
E) 450

Rationale: "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 = 48 2 ) now look at the ' next smallest ' and the ' next biggest ' : 15 + 33 = 48 now we have proof that there is no middle term . we have 6 bunches of 48 . 6 ( 48 ) = 288 a"
Answer: A