Mathematics
         
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Mathematical calculation:
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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 1+1/2+(1/2)^2+(1/2)^3+(1/2)^4.|+(1/2)^100 .
    Question type: Mathematical calculation
    Solution:
          1+1/2+(1/2)^2+(1/2)^3+(1/2)^4.|+(1/2)^100
        =1+1/2+0.5^2+(1/2)^3+(1/2)^4.+(1/2)^100
        =1+1/2+0.5^2+0.5^3+(1/2)^4.+(1/2)^100
        =1+1/2+0.5^2+0.5^3+0.5^4.+(1/2)^100
        =1+1/2+0.5^2+0.5^3+0.5^4.+0.5^100
        =1+1/2+0.25+0.5^3+0.5^4+0.5^100
        =1+1/2+0.25+0.125+0.5^4+0.5^100
        =1+1/2+0.25+0.125+0.0625+0.5^100
        =1+1/2+0.25+0.125+0.0625+0
        =1+0.5+0.25+0.125+0.0625+0
        =1.5+0.25+0.125+0.0625+0
        =1.75+0.125+0.0625+0
        =1.875+0.0625+0
        =1.9375+0
        =1.9375

    Answer:1+1/2+(1/2)^2+(1/2)^3+(1/2)^4.|+(1/2)^100=1.9375


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