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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 75*1/1.06+75*2/1.06^2+75*3/1.06^3+75*4/1.06^4+75*5/1.06^5+75*6/1.06^6+75*7/1.06^7+75*8/1.06^8+75*9/1.06^9+75*10/1.06^10 的值.
    题型:数学计算
    解:
          75*1/1.06+75*2/1.06^2+75*3/1.06^3+75*4/1.06^4+75*5/1.06^5+75*6/1.06^6+75*7/1.06^7+75*8/1.06^8+75*9/1.06^9+75*10/1.06^10
        =75*1/1.06+75*2/1.1236+75*3/1.06^3+75*4/1.06^4+75*5/1.06^5+75*6/1.06^6+75*7/1.06^7+75*8/1.06^8+75*9/1.06^9+75*10/1.06^10
        =75*1/1.06+75*2/1.1236+75*3/1.191016+75*4/1.06^4+75*5/1.06^5+75*6/1.06^6+75*7/1.06^7+75*8/1.06^8+75*9/1.06^9+75*10/1.06^10
        =75*1/1.06+75*2/1.1236+75*3/1.191016+75*4/1.26247696+75*5/1.06^5+75*6/1.06^6+75*7/1.06^7+75*8/1.06^8+75*9/1.06^9+75*10/1.06^10
        =75*1/1.06+75*2/1.1236+75*3/1.191016+75*4/1.26247696+75*5/1.3382255776+75*6/1.06^6+75*7/1.06^7+75*8/1.06^8+75*9/1.06^9+75*10/1.06^10
        =75*1/1.06+75*2/1.1236+75*3/1.191016+75*4/1.26247696+75*5/1.3382255776+75*6/1.418519112256+75*7/1.06^7+75*8/1.06^8+75*9/1.06^9+75*10/1.06^10
        =75*1/1.06+75*2/1.1236+75*3/1.191016+75*4/1.26247696+75*5/1.3382255776+75*6/1.418519112256+75*7/1.503630258991361+75*8/1.06^8+75*9/1.06^9+75*10/1.06^10
        =75*1/1.06+75*2/1.1236+75*3/1.191016+75*4/1.26247696+75*5/1.3382255776+75*6/1.418519112256+75*7/1.503630258991361+75*8/1.593848074530842+75*9/1.06^9+75*10/1.06^10
        =75*1/1.06+75*2/1.1236+75*3/1.191016+75*4/1.26247696+75*5/1.3382255776+75*6/1.418519112256+75*7/1.503630258991361+75*8/1.593848074530842+75*9/1.689478959002693+75*10/1.06^10
        =75*1/1.06+75*2/1.1236+75*3/1.191016+75*4/1.26247696+75*5/1.3382255776+75*6/1.418519112256+75*7/1.503630258991361+75*8/1.593848074530842+75*9/1.689478959002693+75*10/1.790847696542855
        =75/1.06+75*2/1.1236+75*3/1.191016+75*4/1.26247696+75*5/1.3382255776+75*6/1.418519112256+75*7/1.503630258991361+75*8/1.593848074530842+75*9/1.689478959002693+75*10/1.790847696542855
        =70.754717+75*2/1.1236+75*3/1.191016+75*4/1.26247696+75*5/1.3382255776+75*6/1.418519112256+75*7/1.503630258991361+75*8/1.593848074530842+75*9/1.689478959002693+75*10/1.790847696542855
        =70.754717+150/1.1236+75*3/1.191016+75*4/1.26247696+75*5/1.3382255776+75*6/1.418519112256+75*7/1.503630258991361+75*8/1.593848074530842+75*9/1.689478959002693+75*10/1.790847696542855
        =70.754717+133.499466+75*3/1.191016+75*4/1.26247696+75*5/1.3382255776+75*6/1.418519112256+75*7/1.503630258991361+75*8/1.593848074530842+75*9/1.689478959002693+75*10/1.790847696542855
        =70.754717+133.499466+225/1.191016+75*4/1.26247696+75*5/1.3382255776+75*6/1.418519112256+75*7/1.503630258991361+75*8/1.593848074530842+75*9/1.689478959002693+75*10/1.790847696542855
        =70.754717+133.499466+188.914339+75*4/1.26247696+75*5/1.3382255776+75*6/1.418519112256+75*7/1.503630258991361+75*8/1.593848074530842+75*9/1.689478959002693+75*10/1.790847696542855
        =70.754717+133.499466+188.914339+300/1.26247696+75*5/1.3382255776+75*6/1.418519112256+75*7/1.503630258991361+75*8/1.593848074530842+75*9/1.689478959002693+75*10/1.790847696542855
        =70.754717+133.499466+188.914339+237.628099+75*5/1.3382255776+75*6/1.418519112256+75*7/1.503630258991361+75*8/1.593848074530842+75*9/1.689478959002693+75*10/1.790847696542855
        =70.754717+133.499466+188.914339+237.628099+375/1.3382255776+75*6/1.418519112256+75*7/1.503630258991361+75*8/1.593848074530842+75*9/1.689478959002693+75*10/1.790847696542855
        =70.754717+133.499466+188.914339+237.628099+280.221815+75*6/1.418519112256+75*7/1.503630258991361+75*8/1.593848074530842+75*9/1.689478959002693+75*10/1.790847696542855
        =70.754717+133.499466+188.914339+237.628099+280.221815+450/1.418519112256+75*7/1.503630258991361+75*8/1.593848074530842+75*9/1.689478959002693+75*10/1.790847696542855
        =70.754717+133.499466+188.914339+237.628099+280.221815+317.232243+75*7/1.503630258991361+75*8/1.593848074530842+75*9/1.689478959002693+75*10/1.790847696542855
        =70.754717+133.499466+188.914339+237.628099+280.221815+317.232243+525/1.503630258991361+75*8/1.593848074530842+75*9/1.689478959002693+75*10/1.790847696542855
        =70.754717+133.499466+188.914339+237.628099+280.221815+317.232243+349.154985+75*8/1.593848074530842+75*9/1.689478959002693+75*10/1.790847696542855
        =70.754717+133.499466+188.914339+237.628099+280.221815+317.232243+349.154985+600/1.593848074530842+75*9/1.689478959002693+75*10/1.790847696542855
        =70.754717+133.499466+188.914339+237.628099+280.221815+317.232243+349.154985+376.447423+75*9/1.689478959002693+75*10/1.790847696542855
        =70.754717+133.499466+188.914339+237.628099+280.221815+317.232243+349.154985+376.447423+675/1.689478959002693+75*10/1.790847696542855
        =70.754717+133.499466+188.914339+237.628099+280.221815+317.232243+349.154985+376.447423+399.531463+75*10/1.790847696542855
        =70.754717+133.499466+188.914339+237.628099+280.221815+317.232243+349.154985+376.447423+399.531463+750/1.790847696542855
        =70.754717+133.499466+188.914339+237.628099+280.221815+317.232243+349.154985+376.447423+399.531463+418.796083
        =204.254183+188.914339+237.628099+280.221815+317.232243+349.154985+376.447423+399.531463+418.796083
        =393.168522+237.628099+280.221815+317.232243+349.154985+376.447423+399.531463+418.796083
        =630.796621+280.221815+317.232243+349.154985+376.447423+399.531463+418.796083
        =911.018436+317.232243+349.154985+376.447423+399.531463+418.796083
        =1228.250679+349.154985+376.447423+399.531463+418.796083
        =1577.405664+376.447423+399.531463+418.796083
        =1953.853087+399.531463+418.796083
        =2353.38455+418.796083
        =2772.180633

    答案:75*1/1.06+75*2/1.06^2+75*3/1.06^3+75*4/1.06^4+75*5/1.06^5+75*6/1.06^6+75*7/1.06^7+75*8/1.06^8+75*9/1.06^9+75*10/1.06^10=2772.180633


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