Calculation: 19492-19502 + 19512-19522 + +19972-19982+19992=______ .

Calculation: 19492-19502 + 19512-19522 + +19972-19982+19992=______ .

19492-19502+19512-19522+… +19972-19982+19992=(1949+1950)(1949-1950)+(1951+1952)(1951-1952)+… +(1997+1998)(1997-1998)+19992=-(1949+1950+1951+1952+… +1997 + 1998) + 19992 = - (1949 + 1998) × (1998 − 1949 + 1) 2 + 19992 = - 3947 × 502 + 19992 = - 98675 + 3897326 = 7893327