Question

帮解决几道数学题

3/4+3/28+3/70+3/130
= 解的过程写下来

1/2+1/4+1/8+1/16+1/32+1/64+1/128
=解的过程写下来

Answer 1

答：3/4+3/28+3/70+3/130
=（1-1/4）+(1/4-1/7)+(1/7-1/10)+(1/10-1/13)
=1-1/13
= 12/13

答： 1/2+1/4+1/8+1/16+1/32+1/64+1/128
=（1-1/2）+(1/2-1/4)+(1/4-1/8)+(1/8-1/16)+(1/16-1/32)+(1/32-1/64)+(1/64-1/128)
=1-1/128
=127/128

其实善于总结~~数学是很有趣的~！

Answer 2

=3×（1/4+1/28+1/70+1/130）=3×（2/7+1/70+1/130）=3×（3/10+1/130）=3×4/13=12/13

=3/4+1/8+1/16+1/32+1/64+1/128=7/8+1/16+1/32+1/64+1/128=15/16+1/32+……=127/128

Answer 3

3/4+3/28+3/70+3/130
=3*（1/4+1/28+1/70+1/130）
=3*（910/3640+130/3640+52/3640+28/3640）
=3*1120/3640=336/364=59/91
1/2+1/4+1/8+1/16+1/32+1/64+1/128
=（64+32+16+8+4+2+1）/128
=127/128

Answer 4

1/2+1/4+1/8+1/16+1/32+1/64+1/128
=（1-1/2）+(1/2-1/4)+(1/4-1/8)+(1/8-1/16)+(1/16-1/32)+(1/32-1/64)+(1/64-1/128)
=1-1/128
=127/128