2+4/9+8/49+16/225+32/961+64/3969+128/16129+256/65025+512/261121+1024/1046529_ Mathematical calculation

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[1/1 Formula]
    Work: Calculate the value of equation 2+4/9+8/49+16/225+32/961+64/3969+128/16129+256/65025+512/261121+1024/1046529 .
    Question type: Mathematical calculation
    Solution:
          2+4/9+8/49+16/225+32/961+64/3969+128/16129+256/65025+512/261121+1024/1046529
        =2+0.444444+8/49+16/225+32/961+64/3969+128/16129+256/65025+512/261121+1024/1046529
        =2+0.444444+0.163265+16/225+32/961+64/3969+128/16129+256/65025+512/261121+1024/1046529
        =2+0.444444+0.163265+0.071111+32/961+64/3969+128/16129+256/65025+512/261121+1024/1046529
        =2+0.444444+0.163265+0.071111+0.033299+64/3969+128/16129+256/65025+512/261121+1024/1046529
        =2+0.444444+0.163265+0.071111+0.033299+0.016125+128/16129+256/65025+512/261121+1024/1046529
        =2+0.444444+0.163265+0.071111+0.033299+0.016125+0.007936+256/65025+512/261121+1024/1046529
        =2+0.444444+0.163265+0.071111+0.033299+0.016125+0.007936+0.003937+512/261121+1024/1046529
        =2+0.444444+0.163265+0.071111+0.033299+0.016125+0.007936+0.003937+0.001961+1024/1046529
        =2+0.444444+0.163265+0.071111+0.033299+0.016125+0.007936+0.003937+0.001961+0.000978
        =2.444444+0.163265+0.071111+0.033299+0.016125+0.007936+0.003937+0.001961+0.000978
        =2.607709+0.071111+0.033299+0.016125+0.007936+0.003937+0.001961+0.000978
        =2.67882+0.033299+0.016125+0.007936+0.003937+0.001961+0.000978
        =2.712119+0.016125+0.007936+0.003937+0.001961+0.000978
        =2.728244+0.007936+0.003937+0.001961+0.000978
        =2.73618+0.003937+0.001961+0.000978
        =2.740117+0.001961+0.000978
        =2.742078+0.000978
        =2.743056
    Answer:2+4/9+8/49+16/225+32/961+64/3969+128/16129+256/65025+512/261121+1024/1046529=2.743056

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