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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 59/(1+0.1001)+59/(1+0.1001)^2+59/(1+0.1001)^3+59/(1+0.1001)^4+(1250+59)/(1+0.1001)^5 .
    Question type: Mathematical calculation
    Solution:
          59/(1+0.1001)+59/(1+0.1001)^2+59/(1+0.1001)^3+59/(1+0.1001)^4+(1250+59)/(1+0.1001)^5
        =59/1.1001+59/(1+0.1001)^2+59/(1+0.1001)^3+59/(1+0.1001)^4+(1250+59)/(1+0.1001)^5
        =59/1.1001+59/1.1001^2+59/(1+0.1001)^3+59/(1+0.1001)^4+(1250+59)/(1+0.1001)^5
        =59/1.1001+59/1.1001^2+59/1.1001^3+59/(1+0.1001)^4+(1250+59)/(1+0.1001)^5
        =59/1.1001+59/1.1001^2+59/1.1001^3+59/1.1001^4+(1250+59)/(1+0.1001)^5
        =59/1.1001+59/1.1001^2+59/1.1001^3+59/1.1001^4+1309/(1+0.1001)^5
        =59/1.1001+59/1.1001^2+59/1.1001^3+59/1.1001^4+1309/1.1001^5
        =59/1.1001+59/1.21022001+59/1.1001^3+59/1.1001^4+1309/1.1001^5
        =59/1.1001+59/1.21022001+59/1.331363033001+59/1.1001^4+1309/1.1001^5
        =59/1.1001+59/1.21022001+59/1.331363033001+59/1.4646324726044+1309/1.1001^5
        =59/1.1001+59/1.21022001+59/1.331363033001+59/1.4646324726044+1309/1.611242183112101
        =53.631488+59/1.21022001+59/1.331363033001+59/1.4646324726044+1309/1.611242183112101
        =53.631488+48.751466+59/1.331363033001+59/1.4646324726044+1309/1.611242183112101
        =53.631488+48.751466+44.315486+59/1.4646324726044+1309/1.611242183112101
        =53.631488+48.751466+44.315486+40.283143+1309/1.611242183112101
        =53.631488+48.751466+44.315486+40.283143+812.416664
        =102.382954+44.315486+40.283143+812.416664
        =146.69844+40.283143+812.416664
        =186.981583+812.416664
        =999.398247

    Answer:59/(1+0.1001)+59/(1+0.1001)^2+59/(1+0.1001)^3+59/(1+0.1001)^4+(1250+59)/(1+0.1001)^5=999.398247


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