1/1*4+1/4*8+1/8*12+...+1/96*100=?
来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/07 20:40:30
1/1*4+1/4*8+1/8*12+...+1/96*100=?1/1*4+1/4*8+1/8*12+...+1/96*100=?1/1*4+1/4*8+1/8*12+...+1/96*100=?1
1/1*4+1/4*8+1/8*12+...+1/96*100=?
1/1*4+1/4*8+1/8*12+...+1/96*100=?
1/1*4+1/4*8+1/8*12+...+1/96*100=?
1/4*8=(1/4-1/8)/4
1/8*12=(1/8-1/12)/4
1/12*16=(1/12-1/16)/4
.
1/96*100=(1/96-1/100)/4
所以原式=1/4+1/4(1/4-1/8+1/8-1/12+.-1/96+1/96-1/100)
=1/4+1/4*(1/4-1/100)
=31/100
您验算下,没算错的话,
1/(1×4)+1/(4×8)+1/(8×12)+...+1/(96×100)
=1/4+(1/4)(1/4-1/8+1/8-1/12+...+1/96-1/100)
=1/4+(1/4)(1/4-1/100)
=1/4+1/16-1/400
=124/400
=31/100
1/1*4+1/4*8+1/8*12+...+1/96*100
=1/4*(1-1/4+1/4-1/8+1/8-1/12+...+1/96-1/100)
=1/4*(1-1/100)
=99/400
(-1/3-1/8+3/4-1/12)/(-1/48)
1/1*4+1/4*8+1/8*12+...+1/96*100=?
1/4×8+1/8×12+1/12×16+.+1/96×100快速!
1 -2 4 -8 12 求通项公式...
1 4 8 12 22找规律
21/1×4/12×8/7=?
方程4x+12 8x-1
100,8,1,1/4,(
4,2,1,1/2,1/4,( ) ( ) ( )1/8,1/32,1/4 ,1/16( )( ) ( )1/2,1/6,1/12,1/20,1/30,1/42 ( ) ( ) ( )
1+8+4=?
2/1 3/1 4/1 5/1 6/1 8/1 10/1 12/1 15/1 20/1
根据例子计算 计算2/1+4/1+8/1可以这样考虑:2/1=1-2/1,4/1=2/1-4/1/,8/4=4/1-8/12/1+4/1+8/1=(1-2/1)+(2/1-4/1)+(4/1-8/1)=1-8/1=8/7求1 2/1+2 4/1+3 8/1+4 16/1+5 32/1+.+10 1024/1
1/2+1/4+1/6+1/8+1/10+1/12等于多少?
1/2+1/4+1/6+1/8+1/10+1/12如何计算?简便运算
8-1/2×4/16+1/8?
数学题1/4*1/6+1/6*1/8+1/8*1/10+1/10*/12解法的过程
(1又3/4-7/8-7/12)/(-7/8)
积的乘方简便计算8^8*(-4/1)^12