解:
1+2-3+4+5-6+7+8-9....................+97+98-99
=(1+2-3)+(4+5-6)+(7+8-9)....................+(97+98-99)
=0+3+6+...........+96
=1584
0+3+6+...........+96此为一等差数列。n=99/3=33
由S=(A1+An)N/2=(0+96)*33/2=1584
我是老师 谢谢采纳
1+2-3+4+5-6+7+8-9....................+97+98-99
=(1+2-3)+(4+5-6)+(7+8-9)....................+(97+98-99)
=0+3+6+...........+96
=(0+96)×33÷2
=1584
4950