(1,1)(2,4)(1,9)(2,16)第8组是多少
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1/1*2*3+1/2*3*4+1/3*4*5+.+1/8*9*10=1/2*(1/1*2-1/2*3+1/2*3-1/3*4+1/3*4-1/4*5+.+1/8*9-1/9*10)=1/2*(1/1
=(1-1/2)+(1/2-1/3)+.+(1/9-1/10)=1-1/2+1/2-1/3+1/3-...-1/9+1/9-1/10=1-1/10=9/10
2/5再问:要具体过程简便方法再答:额。因为1/2x1/3=1/2-1/3同理1/2x1/3+1/3x1/4x1/5+.........+1/9x1/10=1/2-1/3+1/3-1/4+......
:(1-1/2^2)(1-1/3^2)(1-1/4^2)...(1-1/9^2)(1-1/10^2)=(1+1/2)(1-1/2)+(1+1/3)(1-1/3)..(1+1/10)(1-1/10)=1
题目表达不完整再问:sorry,我打错了是3*(a-2b)(1/3*a+2/3*b)再答:原式=(a-2b)(1/a+2/b)=1+2a/b-2b/a-4=2a/b-2b/a-3
答案是不是17,如果是就按以下思路:相邻两数相加,再加n(n=0,1,2···).
1an=1/(2n-1)2.an=(-1)^n/2n
原式=1+1+1..+1=8是不是分子分母写反了.原式=1/2-1/3+1/3-1/4+1/4-1/5.+1/9-1/10=1/2-1/10=2/5
原式=(1/2)(1+1/2+1/3+1/4)-(1/3)(1+1/2+1/3+1/4)+(1/4)(1+1/2+1/3+1/4)-(1/5)(1+1/2+1/3+1/4)=(1/2-1/3+1/4-
每组第二个数与第一个数的差的平方加一为第三个数.所以X=145.
楼主您好:(1/2+1/4+1/6+1/8)-(1/3+1/6+1/9+1/12)+(1/4+1/8+1/12+1/16)-(1/5+1/10+1/15+1/20)=1/2(1+1/2+1/3+1/4
一比八.二比九.一比九.三比四.一比三……
/1/3-1/2/+/1/4-1/3/+/1/5-1/4/+.+/1/10-1/9/=1/2-1/3+1/3-1/4+1/4-1/5+……+1/9-1/10=1/2-1/10=2/5
:(1-1/2^2)(1-1/3^2)(1-1/4^2)L(1-1/9^2)(1-1/10^2)L(1-1/n^2)=(1-1/2)(1+1/2)(1-1/3)(1+1/3)...(1-1/n)(1+
(1-1/2^2)*(1-1/3)*(1-1/4^2)*…*(1-1/9^2)*(1/10^2)=(1-1/2)(1+1/2)(1-1/3)(1+1/3)(1-1/4)(1+1/4)*.*(1-1/9
-1/2)+(+1/3)+(-1/4)+(+1/9)+(+1/8)+(-4/9)=(-1/2-1/4+1/8)+(1/3+1/9-4/9)=-5/8+0=-5/8
1-1/2+1/2-1/3+1/3-1/4+...1/9-1/10=1-1/10=9/10
原式=(1-1/2)-(1/2-1/3)-(1/3-1/4)-……-(1/9-1/10)=1-1/2-1/2+1/3-1/3+1/4-……-1/9+1/10=1/10