2/56+2/72+2/90+2/110+……+2/420=
问题描述:
2/56+2/72+2/90+2/110+……+2/420=
答
2/56+2/72+2/90+2/110+……+2/420=
=2×(1/7×8+1/8×9+.+1/20×21)
=2×(1/7-1/8+1/8-1/9+...+1/20-1/21)
=2×(1/7-1/21)
=2×(2/21)
=4/21