1/1×2+1/2×3+1/3×4+.+1/98×99+1/99×100如何计算?
问题描述:
1/1×2+1/2×3+1/3×4+.+1/98×99+1/99×100如何计算?
答
=1-1/2+1/2-1/3+1/3-1/4+……+1/99-1/100
中间正负抵消
=1-1/100
=99/100