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问题: 数学,详细解答,谢谢

1/2+1/4+1/8+1/31+1/62+1/124+1/248+1/496

解答:

1/2+1/4+1/8+1/31+1/62+1/124+1/248+1/496
=1/2+1/4+1/8+1/31(1+1/2+1/4+1/8+1/16)
=7/8+1/31(16+8+4+2+1)/16
=14/16+1/31*(31/16)
=14/16+1/16
=15/16