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Current location：Mathematical operation > History of Mathematical Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 100/(1+20%)+100/(1+20%)^2+100/(1+20%)^3+100/(1+20%)^4+100/(1+20%)^5+100/(1+20%)^6+100/(1+20%)^7+100/(1+20%)^8 .
Question type: Mathematical calculation
Solution:
100/(1+20%)+100/(1+20%)^2+100/(1+20%)^3+100/(1+20%)^4+100/(1+20%)^5+100/(1+20%)^6+100/(1+20%)^7+100/(1+20%)^8
=100/1.2+100/(1+20%)^2+100/(1+20%)^3+100/(1+20%)^4+100/(1+20%)^5+100/(1+20%)^6+100/(1+20%)^7+100/(1+20%)^8
=100/1.2+100/1.2^2+100/(1+20%)^3+100/(1+20%)^4+100/(1+20%)^5+100/(1+20%)^6+100/(1+20%)^7+100/(1+20%)^8
=100/1.2+100/1.2^2+100/1.2^3+100/(1+20%)^4+100/(1+20%)^5+100/(1+20%)^6+100/(1+20%)^7+100/(1+20%)^8
=100/1.2+100/1.2^2+100/1.2^3+100/1.2^4+100/(1+20%)^5+100/(1+20%)^6+100/(1+20%)^7+100/(1+20%)^8
=100/1.2+100/1.2^2+100/1.2^3+100/1.2^4+100/1.2^5+100/(1+20%)^6+100/(1+20%)^7+100/(1+20%)^8
=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+20%)^7+100/(1+20%)^8
=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+20%)^8
=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+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+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+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+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+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+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+100/1.44+100/1.728+100/2.0736+100/2.488319999999999+100/2.985983999999999+100/3.583180799999999+100/4.299816959999998
=83.333333+100/1.44+100/1.728+100/2.0736+100/2.488319999999999+100/2.985983999999999+100/3.583180799999999+100/4.299816959999998
=83.333333+69.444444+100/1.728+100/2.0736+100/2.488319999999999+100/2.985983999999999+100/3.583180799999999+100/4.299816959999998
=83.333333+69.444444+57.87037+100/2.0736+100/2.488319999999999+100/2.985983999999999+100/3.583180799999999+100/4.299816959999998
=83.333333+69.444444+57.87037+48.225309+100/2.488319999999999+100/2.985983999999999+100/3.583180799999999+100/4.299816959999998
=83.333333+69.444444+57.87037+48.225309+40.187757+100/2.985983999999999+100/3.583180799999999+100/4.299816959999998
=83.333333+69.444444+57.87037+48.225309+40.187757+33.489798+100/3.583180799999999+100/4.299816959999998
=83.333333+69.444444+57.87037+48.225309+40.187757+33.489798+27.908165+100/4.299816959999998
=83.333333+69.444444+57.87037+48.225309+40.187757+33.489798+27.908165+23.256804
=152.777777+57.87037+48.225309+40.187757+33.489798+27.908165+23.256804
=210.648147+48.225309+40.187757+33.489798+27.908165+23.256804
=258.873456+40.187757+33.489798+27.908165+23.256804
=299.061213+33.489798+27.908165+23.256804
=332.551011+27.908165+23.256804
=360.459176+23.256804
=383.71598
Answer:100/(1+20%)+100/(1+20%)^2+100/(1+20%)^3+100/(1+20%)^4+100/(1+20%)^5+100/(1+20%)^6+100/(1+20%)^7+100/(1+20%)^8=383.71598
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 100/(1+20%)+100/(1+20%)^2+100/(1+20%)^3+100/(1+20%)^4+100/(1+20%)^5+100/(1+20%)^6+100/(1+20%)^7+100/(1+20%)^8 .
Question type: Mathematical calculation
Solution:
100/(1+20%)+100/(1+20%)^2+100/(1+20%)^3+100/(1+20%)^4+100/(1+20%)^5+100/(1+20%)^6+100/(1+20%)^7+100/(1+20%)^8
=100/1.2+100/(1+20%)^2+100/(1+20%)^3+100/(1+20%)^4+100/(1+20%)^5+100/(1+20%)^6+100/(1+20%)^7+100/(1+20%)^8
=100/1.2+100/1.2^2+100/(1+20%)^3+100/(1+20%)^4+100/(1+20%)^5+100/(1+20%)^6+100/(1+20%)^7+100/(1+20%)^8
=100/1.2+100/1.2^2+100/1.2^3+100/(1+20%)^4+100/(1+20%)^5+100/(1+20%)^6+100/(1+20%)^7+100/(1+20%)^8
=100/1.2+100/1.2^2+100/1.2^3+100/1.2^4+100/(1+20%)^5+100/(1+20%)^6+100/(1+20%)^7+100/(1+20%)^8
=100/1.2+100/1.2^2+100/1.2^3+100/1.2^4+100/1.2^5+100/(1+20%)^6+100/(1+20%)^7+100/(1+20%)^8
=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+20%)^7+100/(1+20%)^8
=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+20%)^8
=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+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+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+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+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+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+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+100/1.44+100/1.728+100/2.0736+100/2.488319999999999+100/2.985983999999999+100/3.583180799999999+100/4.299816959999998
=83.333333+100/1.44+100/1.728+100/2.0736+100/2.488319999999999+100/2.985983999999999+100/3.583180799999999+100/4.299816959999998
=83.333333+69.444444+100/1.728+100/2.0736+100/2.488319999999999+100/2.985983999999999+100/3.583180799999999+100/4.299816959999998
=83.333333+69.444444+57.87037+100/2.0736+100/2.488319999999999+100/2.985983999999999+100/3.583180799999999+100/4.299816959999998
=83.333333+69.444444+57.87037+48.225309+100/2.488319999999999+100/2.985983999999999+100/3.583180799999999+100/4.299816959999998
=83.333333+69.444444+57.87037+48.225309+40.187757+100/2.985983999999999+100/3.583180799999999+100/4.299816959999998
=83.333333+69.444444+57.87037+48.225309+40.187757+33.489798+100/3.583180799999999+100/4.299816959999998
=83.333333+69.444444+57.87037+48.225309+40.187757+33.489798+27.908165+100/4.299816959999998
=83.333333+69.444444+57.87037+48.225309+40.187757+33.489798+27.908165+23.256804
=152.777777+57.87037+48.225309+40.187757+33.489798+27.908165+23.256804
=210.648147+48.225309+40.187757+33.489798+27.908165+23.256804
=258.873456+40.187757+33.489798+27.908165+23.256804
=299.061213+33.489798+27.908165+23.256804
=332.551011+27.908165+23.256804
=360.459176+23.256804
=383.71598
Answer:100/(1+20%)+100/(1+20%)^2+100/(1+20%)^3+100/(1+20%)^4+100/(1+20%)^5+100/(1+20%)^6+100/(1+20%)^7+100/(1+20%)^8=383.71598