1/2+1/4+1/8+......+1/64
问题描述:
1/2+1/4+1/8+......+1/64
答
1/2+1/4+1/8+1/16+1/32+1/64=1/2+1/4+1/16+1/32+1/64+1/64-1/64=1/2+1/4+1/8+1/16+1/32+1/32-1/64=1/2+1/4+1/8+1/16+1/16-1/64=1/2+1/4+1/8+1/8-1/64=1/2+1/4+1/4-1/64=1/2+1/2-1/64=1-1/64=63/64