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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 100/1.2+100/1.2^2+100/1.2^3+100/1.2^4+100/1.2^5+100/1.2^6+100/1.2^7+100/1.2^8+100/1.2^9+1000/1.2^9 .
    Question type: Mathematical calculation
    Solution:
          100/1.2+100/1.2^2+100/1.2^3+100/1.2^4+100/1.2^5+100/1.2^6+100/1.2^7+100/1.2^8+100/1.2^9+1000/1.2^9
        =100/1.2+100/1.44+100/1.2^3+100/1.2^4+100/1.2^5+100/1.2^6+100/1.2^7+100/1.2^8+100/1.2^9+1000/1.2^9
        =100/1.2+100/1.44+100/1.728+100/1.2^4+100/1.2^5+100/1.2^6+100/1.2^7+100/1.2^8+100/1.2^9+1000/1.2^9
        =100/1.2+100/1.44+100/1.728+100/2.0736+100/1.2^5+100/1.2^6+100/1.2^7+100/1.2^8+100/1.2^9+1000/1.2^9
        =100/1.2+100/1.44+100/1.728+100/2.0736+100/2.488319999999999+100/1.2^6+100/1.2^7+100/1.2^8+100/1.2^9+1000/1.2^9
        =100/1.2+100/1.44+100/1.728+100/2.0736+100/2.488319999999999+100/2.985983999999999+100/1.2^7+100/1.2^8+100/1.2^9+1000/1.2^9
        =100/1.2+100/1.44+100/1.728+100/2.0736+100/2.488319999999999+100/2.985983999999999+100/3.583180799999999+100/1.2^8+100/1.2^9+1000/1.2^9
        =100/1.2+100/1.44+100/1.728+100/2.0736+100/2.488319999999999+100/2.985983999999999+100/3.583180799999999+100/4.299816959999998+100/1.2^9+1000/1.2^9
        =100/1.2+100/1.44+100/1.728+100/2.0736+100/2.488319999999999+100/2.985983999999999+100/3.583180799999999+100/4.299816959999998+100/5.159780351999999+1000/1.2^9
        =100/1.2+100/1.44+100/1.728+100/2.0736+100/2.488319999999999+100/2.985983999999999+100/3.583180799999999+100/4.299816959999998+100/5.159780351999999+1000/5.159780351999999
        =83.333333+100/1.44+100/1.728+100/2.0736+100/2.488319999999999+100/2.985983999999999+100/3.583180799999999+100/4.299816959999998+100/5.159780351999999+1000/5.159780351999999
        =83.333333+69.444444+100/1.728+100/2.0736+100/2.488319999999999+100/2.985983999999999+100/3.583180799999999+100/4.299816959999998+100/5.159780351999999+1000/5.159780351999999
        =83.333333+69.444444+57.87037+100/2.0736+100/2.488319999999999+100/2.985983999999999+100/3.583180799999999+100/4.299816959999998+100/5.159780351999999+1000/5.159780351999999
        =83.333333+69.444444+57.87037+48.225309+100/2.488319999999999+100/2.985983999999999+100/3.583180799999999+100/4.299816959999998+100/5.159780351999999+1000/5.159780351999999
        =83.333333+69.444444+57.87037+48.225309+40.187757+100/2.985983999999999+100/3.583180799999999+100/4.299816959999998+100/5.159780351999999+1000/5.159780351999999
        =83.333333+69.444444+57.87037+48.225309+40.187757+33.489798+100/3.583180799999999+100/4.299816959999998+100/5.159780351999999+1000/5.159780351999999
        =83.333333+69.444444+57.87037+48.225309+40.187757+33.489798+27.908165+100/4.299816959999998+100/5.159780351999999+1000/5.159780351999999
        =83.333333+69.444444+57.87037+48.225309+40.187757+33.489798+27.908165+23.256804+100/5.159780351999999+1000/5.159780351999999
        =83.333333+69.444444+57.87037+48.225309+40.187757+33.489798+27.908165+23.256804+19.38067+1000/5.159780351999999
        =83.333333+69.444444+57.87037+48.225309+40.187757+33.489798+27.908165+23.256804+19.38067+193.806699
        =152.777777+57.87037+48.225309+40.187757+33.489798+27.908165+23.256804+19.38067+193.806699
        =210.648147+48.225309+40.187757+33.489798+27.908165+23.256804+19.38067+193.806699
        =258.873456+40.187757+33.489798+27.908165+23.256804+19.38067+193.806699
        =299.061213+33.489798+27.908165+23.256804+19.38067+193.806699
        =332.551011+27.908165+23.256804+19.38067+193.806699
        =360.459176+23.256804+19.38067+193.806699
        =383.71598+19.38067+193.806699
        =403.09665+193.806699
        =596.903349

    Answer:100/1.2+100/1.2^2+100/1.2^3+100/1.2^4+100/1.2^5+100/1.2^6+100/1.2^7+100/1.2^8+100/1.2^9+1000/1.2^9=596.903349


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