Mathematics
         
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           ☆1 arithmetic calculations

[1/1 Formula]
    Work: Calculate the value of equation 1/1+1/(1+2)+1/(1+2+3)+1/(1+2+3+4)+1/(1+2+3+4+5) .
    Question type: Mathematical calculation
    Solution:
          1/1+1/(1+2)+1/(1+2+3)+1/(1+2+3+4)+1/(1+2+3+4+5)
        =1/1+1/3+1/(1+2+3)+1/(1+2+3+4)+1/(1+2+3+4+5)
        =1/1+1/3+1/6+1/(1+2+3+4)+1/(1+2+3+4+5)
        =1/1+1/3+1/6+1/10+1/(1+2+3+4+5)
        =1/1+1/3+1/6+1/10+1/15
        =1+1/3+1/6+1/10+1/15
        =1+0.333333+1/6+1/10+1/15
        =1+0.333333+0.166667+1/10+1/15
        =1+0.333333+0.166667+0.1+1/15
        =1+0.333333+0.166667+0.1+0.066667
        =1.333333+0.166667+0.1+0.066667
        =1.5+0.1+0.066667
        =1.6+0.066667
        =1.666667

    Answer:1/1+1/(1+2)+1/(1+2+3)+1/(1+2+3+4)+1/(1+2+3+4+5)=1.666667


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