计算:(1)1+(-2)+3+(-4)+.+9+(-100) (2)1+(-2)+3+(-4)+5+(-6)+.+(2n-1)+(-2n)
问题描述:
计算:(1)1+(-2)+3+(-4)+.+9+(-100) (2)1+(-2)+3+(-4)+5+(-6)+.+(2n-1)+(-2n)
答
(1) -50
答
:(1)1+(-2)+3+(-4)+......+9+(-100)
=(1-2)+(3-4)+……+(99-100)
= -1×50
= -50
(2)1+(-2)+3+(-4)+5+(-6)+......+(2n-1)+(-2n)
=(1-2)+(3-4)+……+(2n-1-2n)
= -1×n
= -n
答
(1)1+99+2+98+.+50+50+(-2)+(-98)+.+(-50)+(-50)
=5000+(-5000)
=0
(2)前面步骤同第一提,结果为2n-1+(-2n)=2n-2n-1=-1