2012 AIME I Problem 2

The terms of an arithmetic sequence add to 715 . The first term of the sequence is increased by 1 , the second term is increased by 3 , the third term is increased by 5 , and in general, the k th term is increased by the k th odd positive integer. The terms of the new sequence add to 836 . Find the sum of the first, last, and middle terms of the original sequence.