已知:2/2x4=1/2-1/4 .计算:2/2x4+2/4x6+2/6x8+2/8x10+2/10x2

问题描述:

已知:2/2x4=1/2-1/4 .计算:2/2x4+2/4x6+2/6x8+2/8x10+2/10x2

2/2x4+2/4x6+2/6x8+2/8x10+2/10x2=1/2-1/4+1/4-1/6+1/6-1/8+1/8-1/10+1/10=1/2

2/2x4+2/4x6+2/6x8+2/8x10+2/10x12
=1/2-1/4 +1/4-1/6 +1/6-1/8 +1/8-1/10 +1/10-1/12
=1/2-1/12
=5/12

2/2x4+2/4x6+2/6x8+2/8x10+2/10x12
=1/2-1/4+1/4-1/6+1/6-1/8+1/8-1/10+1/10-1/12
=1/2-1/12
=6/12-1/12
=5/12