The Sum of first N consecutive odd integers is N^2. What is the sum of all odd integers between 13 and 31 inclusive.  Choose the correct choice from the following choices: A) 220 B) 364 C) 410 D) 424 E) 450

Rationale: 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 = 44 2 ) now look at the ' next smallest ' and the ' next biggest ' : 15 + 29 = 44 now we have proof that there is no middle term . we have 5 bunches of 44 5 ( 44 ) = 220 a
Answer: A