1-2+3-4+5-6+7······-2002+2003 简便计算(用递等式)

问题描述:

1-2+3-4+5-6+7······-2002+2003 简便计算(用递等式)

=1+3+5+······2003-(2+4+······2002)
=(1+2003)X1002÷2-((2+2002)X1001÷2)
=1002X(1002-1001)
=1002