(1,1)(2,4)(1,9)(2,16)第8组是多少

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(1,1)(2,4)(1,9)(2,16)第8组是多少
1/1*2*3+1/2*3*4+1/3*4*5+.+1/8*9*10

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

化简:1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10

=(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

计算:1/2×1/3+1/3×1/4+1/4×1/5+…+1/9×1/10

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+......

因式分解;(1-1/2^2)(1-1/3^2)(1-1/4^2)...(1-1/9^2)(1-1/10^2)...(1-

:(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

简便方法计算 (1-1/^2)(1-1/^3)(1-1/^4)……(1-1/^9)(1-1/^10)

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

-1,1,0,2,4,9,

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···).

|3/1-2/1|+|4/1-3/1|+|5/1-4/1|+...+|10/1-9/1|=?3Q

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

(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/

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-

1,1,1 2,4,5 3,9,37

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.

(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/

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

1:8 2:9 1:9 3:4 1:3 ...

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/

/1/3-1/2/+/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

利用因式分解计算:(1-1/2^2)(1-1/3^2)(1-1/4^2)L(1-1/9^2)(1-1/10^2)L(1-

:(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)

(1-1/2^2)*(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)+(+1/3)+(-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|

1-1/2+1/2-1/3+1/3-1/4+...1/9-1/10=1-1/10=9/10

|1-1/2|-|1/2-1/3|-|1/3-1/4|-.-|1/9-1/10|

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