1/(1×3)+1/(3×5)+1/(5×7)+……+1/(17×19)=?

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1/(1×3)+1/(3×5)+1/(5×7)+……+1/(17×19)=?
1/(1×3)+1/(3×5)+1/(5×7)+……+1/(17×19)=?

1/(1×3)+1/(3×5)+1/(5×7)+……+1/(17×19)=?
1/(1×3)+1/(3×5)+1/(5×7)+……+1/(17×19)
=1/2(1-1/3)+1/2(1/3-1/5)+1/2(1/5-1/7)+……+1/2(1/17-1/19)
=1/2(1-1/19)
=9/19

1/(1×3)+1/(3×5)+1/(5×7)+……+1/(17×19)
=1/2[1-1/3]+1/2[1/3-1/5]+....+1/2[1/17-1/19]
=1/2[1-1/3+1/3-1/5+...+1/17-1/19]
=1/2[1-1/19]
=9/19

1/(1×3)+1/(3×5)+1/(5×7)+……+1/(17×19)
=1/2(1-1/3+1/3-1/5+........+1/17-1/19)
=1/2(1-1/19)
=9/19

(1+1/2)(1+1/3)(1+1/4)(1+1/5)……(1+1/2005)(1+1/2006)=? (1+1/2+1/3+1/4)×(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)×(1/2+1/3+1/4) 请猜想1+3+5+7+9+……+(2n+1)+(2n+3)=? 简便计算 一定要有过程.16(1/2 + 1/3 + 1/4 + 1/5)×(1/3 + 1/4 + 1/5 + 1/6)-(1/2 + 1/3 + 1/4 + 1/5 + 1/6)×(1/3 + 1/4 + 1/5) 1、1+2+3=2×3 2、1+2+3+4+5=3×5 3、1+2+3+4+5+6+7=( )×( ) 4、11+12+13+14+15+16+17=( )×( )=( ) 5、25+26+27+28+29+30+31+32+33=( )×( )=( )再仿照 计算:(+1)+(-3)+(+5)+(-7)+⋯+(+97)+(-99) 计算(3+4/5)×1234+7777÷35/186+543.2×38和1/5+1/(5×5)+1/(5×5×5)+1/(5×5×5×5)+1/(5×5×5×5×5) 计算:(- 1/7)+3/5+4/7+(- 1/5) (1+1×3/1)(1+2×4/1)(1+3×5/1)……(1+99×101/1) 1+(1/1+2)+(1/1+2+3)+…+(1/1+2+3+4+…+50)用简便算法第二道.(1/2×3×4)+(1/3×4×5)+(1/4×5×6)+…+(1/8×9×10)用简便算法.还有一道【(5+(1/4)-4.25)×5/8】÷(3/8) 1+3+5+7+9+11+13+15+17+19+21=() (1988+1986+.+6+4+2)-(1+3+5+.+1987)简便运算 1/(1×3)+1/(3×5)+1/(5×7)+……+1/(17×19)=? 2分之5+2分之5+1+(-2分之3)=() 1+(-2)+3+(-4)+5+(-6)+…+2003+(-2014) (-1)+2+(-3)+4+(-5)+6+⋯+2010+(-2011) 1234567654321乘以(1+2+3+4+5+6+7+6+5+4+3+2+1)再开根号是好多啊~ 五年级数学简算(1+2/1+3/1+4/1)×(2/1+3/1+4/1+5/1)-(1+2/1+3/1+4/1+5/1)×(2/1+3/1+4/1)1*3*5+3*5*7+5*7*9+……101*103*105