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Mathematical calculation:
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    Current location:Mathematical operation > History of Mathematical Computation > Answer
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           ☆1 arithmetic calculations

[1/1 Formula]
    Work: Calculate the value of equation 1/(1.1038^1)+1.5/(1.1038^2)+1/(1.1038^3)+1.5/(1.1038^4)+1/(1.1038^5)+1.5/(1.1038^6) .
    Question type: Mathematical calculation
    Solution:
          1/(1.1038^1)+1.5/(1.1038^2)+1/(1.1038^3)+1.5/(1.1038^4)+1/(1.1038^5)+1.5/(1.1038^6)
        =1/1.1038+1.5/(1.1038^2)+1/(1.1038^3)+1.5/(1.1038^4)+1/(1.1038^5)+1.5/(1.1038^6)
        =1/1.1038+1.5/1.21837444+1/(1.1038^3)+1.5/(1.1038^4)+1/(1.1038^5)+1.5/(1.1038^6)
        =1/1.1038+1.5/1.21837444+1/1.344841706872+1.5/(1.1038^4)+1/(1.1038^5)+1.5/(1.1038^6)
        =1/1.1038+1.5/1.21837444+1/1.344841706872+1.5/1.484436276045313+1/(1.1038^5)+1.5/(1.1038^6)
        =1/1.1038+1.5/1.21837444+1/1.344841706872+1.5/1.484436276045313+1/1.638520761498816+1.5/(1.1038^6)
        =1/1.1038+1.5/1.21837444+1/1.344841706872+1.5/1.484436276045313+1/1.638520761498816+1.5/1.808599216542393
        =0.905961+1.5/1.21837444+1/1.344841706872+1.5/1.484436276045313+1/1.638520761498816+1.5/1.808599216542393
        =0.905961+1.231149+1/1.344841706872+1.5/1.484436276045313+1/1.638520761498816+1.5/1.808599216542393
        =0.905961+1.231149+0.743582+1.5/1.484436276045313+1/1.638520761498816+1.5/1.808599216542393
        =0.905961+1.231149+0.743582+1.010485+1/1.638520761498816+1.5/1.808599216542393
        =0.905961+1.231149+0.743582+1.010485+0.610307+1.5/1.808599216542393
        =0.905961+1.231149+0.743582+1.010485+0.610307+0.829371
        =2.13711+0.743582+1.010485+0.610307+0.829371
        =2.880692+1.010485+0.610307+0.829371
        =3.891177+0.610307+0.829371
        =4.501484+0.829371
        =5.330855

    Answer:1/(1.1038^1)+1.5/(1.1038^2)+1/(1.1038^3)+1.5/(1.1038^4)+1/(1.1038^5)+1.5/(1.1038^6)=5.330855


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