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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 3/(1+5%)^41+3/(1+5%)^42+3/(1+5%)^43+3/(1+5%)^44+3/(1+5%)^45+3/(1+5%)^46+3/(1+5%)^47+3/(1+5%)^48+3/(1+5%)^49 的值.
    题型:数学计算
    解:
          3/(1+5%)^41+3/(1+5%)^42+3/(1+5%)^43+3/(1+5%)^44+3/(1+5%)^45+3/(1+5%)^46+3/(1+5%)^47+3/(1+5%)^48+3/(1+5%)^49
        =3/1.05^41+3/(1+5%)^42+3/(1+5%)^43+3/(1+5%)^44+3/(1+5%)^45+3/(1+5%)^46+3/(1+5%)^47+3/(1+5%)^48+3/(1+5%)^49
        =3/1.05^41+3/1.05^42+3/(1+5%)^43+3/(1+5%)^44+3/(1+5%)^45+3/(1+5%)^46+3/(1+5%)^47+3/(1+5%)^48+3/(1+5%)^49
        =3/1.05^41+3/1.05^42+3/1.05^43+3/(1+5%)^44+3/(1+5%)^45+3/(1+5%)^46+3/(1+5%)^47+3/(1+5%)^48+3/(1+5%)^49
        =3/1.05^41+3/1.05^42+3/1.05^43+3/1.05^44+3/(1+5%)^45+3/(1+5%)^46+3/(1+5%)^47+3/(1+5%)^48+3/(1+5%)^49
        =3/1.05^41+3/1.05^42+3/1.05^43+3/1.05^44+3/1.05^45+3/(1+5%)^46+3/(1+5%)^47+3/(1+5%)^48+3/(1+5%)^49
        =3/1.05^41+3/1.05^42+3/1.05^43+3/1.05^44+3/1.05^45+3/1.05^46+3/(1+5%)^47+3/(1+5%)^48+3/(1+5%)^49
        =3/1.05^41+3/1.05^42+3/1.05^43+3/1.05^44+3/1.05^45+3/1.05^46+3/1.05^47+3/(1+5%)^48+3/(1+5%)^49
        =3/1.05^41+3/1.05^42+3/1.05^43+3/1.05^44+3/1.05^45+3/1.05^46+3/1.05^47+3/1.05^48+3/(1+5%)^49
        =3/1.05^41+3/1.05^42+3/1.05^43+3/1.05^44+3/1.05^45+3/1.05^46+3/1.05^47+3/1.05^48+3/1.05^49
        =3/7.391988147730891+3/1.05^42+3/1.05^43+3/1.05^44+3/1.05^45+3/1.05^46+3/1.05^47+3/1.05^48+3/1.05^49
        =3/7.391988147730891+3/7.761587555117436+3/1.05^43+3/1.05^44+3/1.05^45+3/1.05^46+3/1.05^47+3/1.05^48+3/1.05^49
        =3/7.391988147730891+3/7.761587555117436+3/8.149666932873309+3/1.05^44+3/1.05^45+3/1.05^46+3/1.05^47+3/1.05^48+3/1.05^49
        =3/7.391988147730891+3/7.761587555117436+3/8.149666932873309+3/8.557150279516975+3/1.05^45+3/1.05^46+3/1.05^47+3/1.05^48+3/1.05^49
        =3/7.391988147730891+3/7.761587555117436+3/8.149666932873309+3/8.557150279516975+3/8.985007793492823+3/1.05^46+3/1.05^47+3/1.05^48+3/1.05^49
        =3/7.391988147730891+3/7.761587555117436+3/8.149666932873309+3/8.557150279516975+3/8.985007793492823+3/9.434258183167465+3/1.05^47+3/1.05^48+3/1.05^49
        =3/7.391988147730891+3/7.761587555117436+3/8.149666932873309+3/8.557150279516975+3/8.985007793492823+3/9.434258183167465+3/9.905971092325839+3/1.05^48+3/1.05^49
        =3/7.391988147730891+3/7.761587555117436+3/8.149666932873309+3/8.557150279516975+3/8.985007793492823+3/9.434258183167465+3/9.905971092325839+3/10.401269646942131+3/1.05^49
        =3/7.391988147730891+3/7.761587555117436+3/8.149666932873309+3/8.557150279516975+3/8.985007793492823+3/9.434258183167465+3/9.905971092325839+3/10.401269646942131+3/10.921333129289238
        =0.405845+3/7.761587555117436+3/8.149666932873309+3/8.557150279516975+3/8.985007793492823+3/9.434258183167465+3/9.905971092325839+3/10.401269646942131+3/10.921333129289238
        =0.405845+0.386519+3/8.149666932873309+3/8.557150279516975+3/8.985007793492823+3/9.434258183167465+3/9.905971092325839+3/10.401269646942131+3/10.921333129289238
        =0.405845+0.386519+0.368113+3/8.557150279516975+3/8.985007793492823+3/9.434258183167465+3/9.905971092325839+3/10.401269646942131+3/10.921333129289238
        =0.405845+0.386519+0.368113+0.350584+3/8.985007793492823+3/9.434258183167465+3/9.905971092325839+3/10.401269646942131+3/10.921333129289238
        =0.405845+0.386519+0.368113+0.350584+0.33389+3/9.434258183167465+3/9.905971092325839+3/10.401269646942131+3/10.921333129289238
        =0.405845+0.386519+0.368113+0.350584+0.33389+0.31799+3/9.905971092325839+3/10.401269646942131+3/10.921333129289238
        =0.405845+0.386519+0.368113+0.350584+0.33389+0.31799+0.302848+3/10.401269646942131+3/10.921333129289238
        =0.405845+0.386519+0.368113+0.350584+0.33389+0.31799+0.302848+0.288426+3/10.921333129289238
        =0.405845+0.386519+0.368113+0.350584+0.33389+0.31799+0.302848+0.288426+0.274692
        =0.792364+0.368113+0.350584+0.33389+0.31799+0.302848+0.288426+0.274692
        =1.160477+0.350584+0.33389+0.31799+0.302848+0.288426+0.274692
        =1.511061+0.33389+0.31799+0.302848+0.288426+0.274692
        =1.844951+0.31799+0.302848+0.288426+0.274692
        =2.162941+0.302848+0.288426+0.274692
        =2.465789+0.288426+0.274692
        =2.754215+0.274692
        =3.028907

    答案:3/(1+5%)^41+3/(1+5%)^42+3/(1+5%)^43+3/(1+5%)^44+3/(1+5%)^45+3/(1+5%)^46+3/(1+5%)^47+3/(1+5%)^48+3/(1+5%)^49=3.028907


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