1/2=1-1/2,1/6=1/2-1/3,1/12=1/3-1/4,...根据以上规律计算下面的题目:1/6+1/12+1/20+1/30+1/42+1/56+1/72=?你们怎么都没有打小括号呀？

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1/2=1-1/2,1/6=1/2-1/3,1/12=1/3-1/4,...根据以上规律计算下面的题目:1/6+1/12+1/20+1/30+1/42+1/56+1/72=?你们怎么都没有打小括号呀？
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1/2=1-1/2,1/6=1/2-1/3,1/12=1/3-1/4,...根据以上规律计算下面的题目:1/6+1/12+1/20+1/30+1/42+1/56+1/72=?你们怎么都没有打小括号呀？
1/2=1-1/2,1/6=1/2-1/3,1/12=1/3-1/4,...根据以上规律计算下面的题目:1/6+1/12+1/20+1/30+1/42+1/56+1/72=?
你们怎么都没有打小括号呀？

1/2=1-1/2,1/6=1/2-1/3,1/12=1/3-1/4,...根据以上规律计算下面的题目:1/6+1/12+1/20+1/30+1/42+1/56+1/72=?你们怎么都没有打小括号呀？
1/6+1/12+1/20+1/30+1/42+1/56+1/72
=1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9
=1/2-1/9
=7/18

1/6+1/12+1/20+1/30+1/42+1/56+1/72
=1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9
=1/2-1/9
=7/18

根据规律得：
1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9
=1/2-1/9
=7/18

1/6 = 1/2 - 1/3
1/12 = 1/3 - 1/4
1/20 = 1/4 -1/5
1/30 = 1/5 -1/6
1/42 = 1/6 - 1/7
1/56 = 1/7 - 1/8
1/72 = 1/8 - 1/9
1/6+1/12+1/20+1/30+1/42+1/56+1/72
=(1/2 - 1/3) + (1/3 - 1/4 )+ (1/4 -1/5 )+ (1/5 -1/6) + (1/6 - 1/7) + (1/7 - 1/8) +(1/8 - 1/9)
=1/2 - 1/9
=7/18

原式＝（1／2－1／3）＋（1／3－1／4）＋（1／4－1／5）＋（1／5－1／6）
＋（1／6－1／7）＋（1／7－1／8）＋（1／8－1／9）
＝1／2－1／9
＝4／9

=1/2 - 1/3 + 1/3 - 1/4 + 1/4-1/5 +1/5 -1/6 +1/6- 1/7 +1/7 -1/8+1/8 -1/9
=1/2-1/9
=7/72

这个题需要先求出1/72=1/8-1/9,题目1/6+1/12+1/20+1/30+1/42+1/56+1/72=1/2-1/9=7/18.

1/6+1/12+1/20+1/30+1/42+1/56+1/72
=(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+(1/6-1/7)+(1/7-1/8)+(1/8-1/9)
=1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9
=1/2-1/9
=7/18

1*1/2=? 1+1=2? 1+1=2? 1+1×2=? 2-1=1 2+1+2+6= Sn=1/(2^2-1)+1/(4^2-1)+1/(6^2-1)+.+1/[(2n)^2-1]求和 1+2+1+2+1+2+1+2+1+2+1+2+1+2 =( )*( ) =() 巧算：(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4+1/5+1/6)-(1+1/2+1/3+1/4+1/5+1/6)*(1/2+1/3+1/4+1/5)(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4+1/5+1/6)-(1+1/2+1/3+1/4+1/5+1/6)*(1/2+1/3+1/4+1/5)===== (1-1/2)+(1-1/6)+(1-1/12)+...+(1-1/110)=? 1-1/2+1/3-1/4+1/5-1/6+1/7.-1/50=? 1/2+1/6+1/12+...+1/56=快 1/2+1/6+1/12+1/20= 1+1/2+1/6+1/16=? 1/2+1/6+1/12+…+1/1560=? 1*2*3+1-1+1/6=? 已知1/2=1-1/2,1/6=1/2-1/3,请计算1/2-1/6-1/12-1/20...-1/132 1-1/2+1/3-1/4+1/5-1/6+…+1/15=23*[1/( )+1/( )+1/( )+1/( )]