(1+3+5+7+……+2011)-(2+4+6+8+……+2012)=
问题描述:
(1+3+5+7+……+2011)-(2+4+6+8+……+2012)=
答
等差数列的前n项和:
Sn=nA1+[n(n-1)d]/2 n>1
原式=[1×1006+(1006×1005×2)÷2]-[2×1006+(1006×1005×2)÷2]
=1006-2×1006
= -1006