1,5,7,9,11,13,15其中三个数相加等于30

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一道奥数题,简算(1/5+1/7+1/9+1/11)×(1/7+1/9+1/11+1/13)—(1/5+1/7+1/9+

假设a=1/5+1/7+1/9+1/11,b=1/7+1/9+1/11原式=a*(b+1/13)-(a+1/13)*b=ab+a*1/13-ab-b*1/13=1/13*(a-b)=1/65

1+3+5+7+9+11+13+15+…+99

1+3+5+7+9+11+13+15+…+99=(1+99)×50÷2=2500

1+3+5+7+9+11+13+.+999=

1+3+5+7+9+11+13+.+999=(1+999)×1000÷2÷2=250000

计算:2/3*5+1/5*7+1/7*9+1/9*11+1/11*13

2/3*5+1/5*7+1/7*9+1/9*11+1/11*13=1/15+1/2(1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11+1/11-1/13)=1/15+1/2(1/3-1

1/1*3+1/3*5+1/5*7+1/7*9+1/9*11+1/11*13+1/13*15+1/15*17+1/17*

原式=(1-1/3)×1/2+(1/3-1/5)×1/2+(1/5-1/7)×1/2……+(1/19-1/21)×1/2=(1-1/3+1/3-1/5+1/5-……+1/19-1/21)×1/2=(1

1×3/1+3×5/1+5×7/1+7×9/1+9×11/1+11×13/1简便运算

应该是1/(1*3)+1/(3*5)+1/(5*7)+1/(7*9)+1/(9*11)+1/(11*13)吧1/(1*3)=(1/1-1/3)/21/(3*5)=(1/3-1/5)/2.1/(11*1

(1/5+1/7+1/9+1/11)*(1/7+1/9+1/11+1/13)-(1/5+1/7+1/9+1/11+1/1

提取=(1/5+1/7+1/9+1/11)*(1/7+1/9+1/11)+(1/5+1/7+1/9+1/11)*1/13-(1/5+1/7+1/9+1/11)*(1/7+1/9+1/11)-1/13*

1+3+5+7+9+11+13+...+99=?

=2433用计器算的

1/5*7+1/7*9+1/9*11+1/11*13+.+1/23*25

1/5*7+1/7*9+1/9*11+1/11*13+.+1/23*25=1/2[(1/5-1/7)+(1/7-1/9)+…+(1/23-1/25)]=1/2(1/5-1/7+1/7-1/9+……+1

(5/1+7/1+9/1+11/1)*(7/1+9/1+11/1+13/1)-(5/1+7/1+9/1+11/1+13/

设u=5/1+7/1+9/1+11/1,v=7/1+9/1+11/1,原式=u(v+13/1)-(u+13/1)v=13/1(u-v)=13/1*5/1=65/1

计算:(1/5+1/9+1/11)*(1/7+1/9+1/11+1/13)-(1/5+1/7+1/9+1/11+1/13

1.1/652.50%设成本为X定价时所期望的利润=[(20%X+X)/80%-X]/X=50%3.设乙店进价是x元,甲店的进价是(1-10%)x=0.9x元(1+15%)*x-(1+20%)*0.9

1 -3 5 -7 9 -11 13

(2n-1)(-1)^(n-1)(n为正整数)

计算:1/3*5+1/5*7+1/7*9+1/9*11+1/11*13

1/3*5+1/5*7+1/7*9+1/9*11+1/11*13=1/2×﹙1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11+1/11-1/13﹚=1/2×﹙1/3-1/13﹚=1/2

简便计算1/1*3*5+1/3*5*7+1/5*7*9+1/7*9*11+1/9*11*13+1/11*13*15中1/

您好!分析:1/1×3×5=1/4×(1/1×3-1/3×5)1/3×5×7=1/4×(1/3×5-1/5×7)1/5×7×9=1/4×(1/5×7-1/7×9)1/7×9×11=1/4×(1/7×9

1/5*7+1/7*9+1/9*11+1/11*13

1/5*7+1/7*9+1/9*11+1/11*13=1/2(1/5-1/7+1/7-1/9+1/9-1/11+1/11-1/13)=1/2*(1/5-1/13)=4/65

3*5分之1+5*7分之1+7*9分之1+9*11分之1+11*13分之1

原式=1/2x(1/3-1/5)+1/2x(1/5-1/7)+1/2x(1/7-1/9)+1/2x(1/9-1/11)+1/2x(1/11-1/13)=1/2x(1/3-1/5+1/5-1/7+1/7

1/(1*3*5)+1/(3*5*7)+1/(5*7*9)+1/(7*9*11)+1/(9*11*13+)1/(11*1

=1/15+1/105+1/315+1/693+1/1287+1/2145=1/16/106/316/694/1288/2145=9.7316042515123674170894241897003e-

1/1*3*5+1/3*5*7+1/5*7*9+1/7*9*11+1/9*11*13+1/11*13*15怎么计算

按平常那么计前两项取1/3*1/5(1+1/7)后面也是1/7*1/9(1/5+1/11)第三个是1/11*1/13(1/9+1/15)这样计吧