1.1/2+3/4+7/8+15/16+31/32+63/64+127/128+255/256
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1.1/2+3/4+7/8+15/16+31/32+63/64+127/128+255/256
2.(1+1/2)*(1-1/2)*(1+1/3)*(1-1/3)*……*(1+1/99)*(1-1/99)
2.(1+1/2)*(1-1/2)*(1+1/3)*(1-1/3)*……*(1+1/99)*(1-1/99)
1.
=1-1/2+1-1/4+1-1/8+...+1-1/256
=8-(1/2+1/4+1/8+...+1/256) 根据等比数列求和公式
=8-(1-1/256)
=7又1/256
2.
=3/2 * 1/2 * 4/3 * 2/3 * 5/4 * 3/4 * 6/5 * 4/5 *...*100/99 * 98/99
相隔其他两项的两项都消去了,如3/2和2/3,4/3和3/4
=1/2*100/99
=50/99
=1-1/2+1-1/4+1-1/8+...+1-1/256
=8-(1/2+1/4+1/8+...+1/256) 根据等比数列求和公式
=8-(1-1/256)
=7又1/256
2.
=3/2 * 1/2 * 4/3 * 2/3 * 5/4 * 3/4 * 6/5 * 4/5 *...*100/99 * 98/99
相隔其他两项的两项都消去了,如3/2和2/3,4/3和3/4
=1/2*100/99
=50/99
1.1/2+3/4+7/8+15/16+31/32+63/64+127/128+255/256
1/2+3/4+7/8+15/16+31/32+63/64+128/127+255/256
1/2+3/4+7/8+15/16+31/32+63/64+127/128+255/256
计算 1/2+3/4+7/8+15/16+31/32+63/64+127/128+255/256
简便计算:1/2+3/4+7/8+15/16+31/32+63/64+127/128+255/256
1/2+3/4+7/8+15/16+31/32+63/64+127/128+255/256+511/512如何计算
1/2+3/4+7/8+15/16+31/32+63/64+127/128+255/256+511/512+1024/1
1/2+3/4+7/8+15/16+31/32+63/64+127/128+255/256用裂项解
3/1+4/3+8/7+16/15+32/31+64/63+128/127+256/255怎么算?
计算2/8+3/8+7/16+15/32+31/64+63/128+127/256+255/512+511/1024=?
数学题计算8/2+8/3+16/7+32/15+64/31+128/63+256/127+512/255+1024/51
2/8+3/8+7/16+15/32+31/64+63/128+127/256+255/512+511/1024=()