-1 + -3 + -5 + -7 + . . . = -(1 + 3 + 5 + . . . ) = This is the sum of arithmetic progression. Use the formula 1 + 3 + 5 + . . . + (2n-1) = . In your case n = 15. See the lessons - Arithmetic progressions - The proofs of the formulas for arithmetic progressions - Problems on arithmetic progressions in this site = = -225.