1. Evaluate the sum 2. Cribbage players have long been aware that 15 = 7 + 8 = XXXXXXXXXX = XXXXXXXXXXFind the number of ways to represent 1050 as a sum of consecutive positive integers. (The trivial...

1. Evaluate the sum

2. Cribbage players have long been aware that 15 = 7 + 8 = 4 + 5 + 6 = 1 + 2 + 3 + 4 + 5. Find the number of ways to represent 1050 as a sum of consecutive positive integers. (The trivial representation `1050' by itself counts as one way; thus there are four, not three, ways to represent 15 as a sum of consecutive positive integers. Incidentally, a knowledge of cribbage rules is of no use in this problem.)