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数学计算:
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    总述:本次共解1题。其中
           ☆算术计算1题

〖1/1算式〗
    作业:求算式 5/(1+5%)^41+5/(1+5%)^42+5/(1+5%)^43+5/(1+5%)^44+5/(1+5%)^45+5/(1+5%)^46+5/(1+5%)^47+5/(1+5%)^48+5/(1+5%)^49+5/(1+5%)^50 的值.
    题型:数学计算
    解:
          5/(1+5%)^41+5/(1+5%)^42+5/(1+5%)^43+5/(1+5%)^44+5/(1+5%)^45+5/(1+5%)^46+5/(1+5%)^47+5/(1+5%)^48+5/(1+5%)^49+5/(1+5%)^50
        =5/1.05^41+5/(1+5%)^42+5/(1+5%)^43+5/(1+5%)^44+5/(1+5%)^45+5/(1+5%)^46+5/(1+5%)^47+5/(1+5%)^48+5/(1+5%)^49+5/(1+5%)^50
        =5/1.05^41+5/1.05^42+5/(1+5%)^43+5/(1+5%)^44+5/(1+5%)^45+5/(1+5%)^46+5/(1+5%)^47+5/(1+5%)^48+5/(1+5%)^49+5/(1+5%)^50
        =5/1.05^41+5/1.05^42+5/1.05^43+5/(1+5%)^44+5/(1+5%)^45+5/(1+5%)^46+5/(1+5%)^47+5/(1+5%)^48+5/(1+5%)^49+5/(1+5%)^50
        =5/1.05^41+5/1.05^42+5/1.05^43+5/1.05^44+5/(1+5%)^45+5/(1+5%)^46+5/(1+5%)^47+5/(1+5%)^48+5/(1+5%)^49+5/(1+5%)^50
        =5/1.05^41+5/1.05^42+5/1.05^43+5/1.05^44+5/1.05^45+5/(1+5%)^46+5/(1+5%)^47+5/(1+5%)^48+5/(1+5%)^49+5/(1+5%)^50
        =5/1.05^41+5/1.05^42+5/1.05^43+5/1.05^44+5/1.05^45+5/1.05^46+5/(1+5%)^47+5/(1+5%)^48+5/(1+5%)^49+5/(1+5%)^50
        =5/1.05^41+5/1.05^42+5/1.05^43+5/1.05^44+5/1.05^45+5/1.05^46+5/1.05^47+5/(1+5%)^48+5/(1+5%)^49+5/(1+5%)^50
        =5/1.05^41+5/1.05^42+5/1.05^43+5/1.05^44+5/1.05^45+5/1.05^46+5/1.05^47+5/1.05^48+5/(1+5%)^49+5/(1+5%)^50
        =5/1.05^41+5/1.05^42+5/1.05^43+5/1.05^44+5/1.05^45+5/1.05^46+5/1.05^47+5/1.05^48+5/1.05^49+5/(1+5%)^50
        =5/1.05^41+5/1.05^42+5/1.05^43+5/1.05^44+5/1.05^45+5/1.05^46+5/1.05^47+5/1.05^48+5/1.05^49+5/1.05^50
        =5/7.391988147730891+5/1.05^42+5/1.05^43+5/1.05^44+5/1.05^45+5/1.05^46+5/1.05^47+5/1.05^48+5/1.05^49+5/1.05^50
        =5/7.391988147730891+5/7.761587555117436+5/1.05^43+5/1.05^44+5/1.05^45+5/1.05^46+5/1.05^47+5/1.05^48+5/1.05^49+5/1.05^50
        =5/7.391988147730891+5/7.761587555117436+5/8.149666932873309+5/1.05^44+5/1.05^45+5/1.05^46+5/1.05^47+5/1.05^48+5/1.05^49+5/1.05^50
        =5/7.391988147730891+5/7.761587555117436+5/8.149666932873309+5/8.557150279516975+5/1.05^45+5/1.05^46+5/1.05^47+5/1.05^48+5/1.05^49+5/1.05^50
        =5/7.391988147730891+5/7.761587555117436+5/8.149666932873309+5/8.557150279516975+5/8.985007793492823+5/1.05^46+5/1.05^47+5/1.05^48+5/1.05^49+5/1.05^50
        =5/7.391988147730891+5/7.761587555117436+5/8.149666932873309+5/8.557150279516975+5/8.985007793492823+5/9.434258183167465+5/1.05^47+5/1.05^48+5/1.05^49+5/1.05^50
        =5/7.391988147730891+5/7.761587555117436+5/8.149666932873309+5/8.557150279516975+5/8.985007793492823+5/9.434258183167465+5/9.905971092325839+5/1.05^48+5/1.05^49+5/1.05^50
        =5/7.391988147730891+5/7.761587555117436+5/8.149666932873309+5/8.557150279516975+5/8.985007793492823+5/9.434258183167465+5/9.905971092325839+5/10.401269646942131+5/1.05^49+5/1.05^50
        =5/7.391988147730891+5/7.761587555117436+5/8.149666932873309+5/8.557150279516975+5/8.985007793492823+5/9.434258183167465+5/9.905971092325839+5/10.401269646942131+5/10.921333129289238+5/1.05^50
        =5/7.391988147730891+5/7.761587555117436+5/8.149666932873309+5/8.557150279516975+5/8.985007793492823+5/9.434258183167465+5/9.905971092325839+5/10.401269646942131+5/10.921333129289238+5/11.467399785753701
        =0.676408+5/7.761587555117436+5/8.149666932873309+5/8.557150279516975+5/8.985007793492823+5/9.434258183167465+5/9.905971092325839+5/10.401269646942131+5/10.921333129289238+5/11.467399785753701
        =0.676408+0.644198+5/8.149666932873309+5/8.557150279516975+5/8.985007793492823+5/9.434258183167465+5/9.905971092325839+5/10.401269646942131+5/10.921333129289238+5/11.467399785753701
        =0.676408+0.644198+0.613522+5/8.557150279516975+5/8.985007793492823+5/9.434258183167465+5/9.905971092325839+5/10.401269646942131+5/10.921333129289238+5/11.467399785753701
        =0.676408+0.644198+0.613522+0.584307+5/8.985007793492823+5/9.434258183167465+5/9.905971092325839+5/10.401269646942131+5/10.921333129289238+5/11.467399785753701
        =0.676408+0.644198+0.613522+0.584307+0.556483+5/9.434258183167465+5/9.905971092325839+5/10.401269646942131+5/10.921333129289238+5/11.467399785753701
        =0.676408+0.644198+0.613522+0.584307+0.556483+0.529983+5/9.905971092325839+5/10.401269646942131+5/10.921333129289238+5/11.467399785753701
        =0.676408+0.644198+0.613522+0.584307+0.556483+0.529983+0.504746+5/10.401269646942131+5/10.921333129289238+5/11.467399785753701
        =0.676408+0.644198+0.613522+0.584307+0.556483+0.529983+0.504746+0.480711+5/10.921333129289238+5/11.467399785753701
        =0.676408+0.644198+0.613522+0.584307+0.556483+0.529983+0.504746+0.480711+0.45782+5/11.467399785753701
        =0.676408+0.644198+0.613522+0.584307+0.556483+0.529983+0.504746+0.480711+0.45782+0.436019
        =1.320606+0.613522+0.584307+0.556483+0.529983+0.504746+0.480711+0.45782+0.436019
        =1.934128+0.584307+0.556483+0.529983+0.504746+0.480711+0.45782+0.436019
        =2.518435+0.556483+0.529983+0.504746+0.480711+0.45782+0.436019
        =3.074918+0.529983+0.504746+0.480711+0.45782+0.436019
        =3.604901+0.504746+0.480711+0.45782+0.436019
        =4.109647+0.480711+0.45782+0.436019
        =4.590358+0.45782+0.436019
        =5.048178+0.436019
        =5.484197

    答案:5/(1+5%)^41+5/(1+5%)^42+5/(1+5%)^43+5/(1+5%)^44+5/(1+5%)^45+5/(1+5%)^46+5/(1+5%)^47+5/(1+5%)^48+5/(1+5%)^49+5/(1+5%)^50=5.484197


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