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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 6/(1.06)+12/(1.06)^2+18/(1.06)^3+24/(1.06)^4+30/(1.06)^5+36/(1.06)^6+42/(1.06)^7+48/(1.06)^8+54/(1.06)^9+1060/(1.06)^10 .
Question type: Mathematical calculation
Solution:
6/(1.06)+12/(1.06)^2+18/(1.06)^3+24/(1.06)^4+30/(1.06)^5+36/(1.06)^6+42/(1.06)^7+48/(1.06)^8+54/(1.06)^9+1060/(1.06)^10
=6/1.06+12/(1.06)^2+18/(1.06)^3+24/(1.06)^4+30/(1.06)^5+36/(1.06)^6+42/(1.06)^7+48/(1.06)^8+54/(1.06)^9+1060/(1.06)^10
=6/1.06+12/1.06^2+18/(1.06)^3+24/(1.06)^4+30/(1.06)^5+36/(1.06)^6+42/(1.06)^7+48/(1.06)^8+54/(1.06)^9+1060/(1.06)^10
=6/1.06+12/1.06^2+18/1.06^3+24/(1.06)^4+30/(1.06)^5+36/(1.06)^6+42/(1.06)^7+48/(1.06)^8+54/(1.06)^9+1060/(1.06)^10
=6/1.06+12/1.06^2+18/1.06^3+24/1.06^4+30/(1.06)^5+36/(1.06)^6+42/(1.06)^7+48/(1.06)^8+54/(1.06)^9+1060/(1.06)^10
=6/1.06+12/1.06^2+18/1.06^3+24/1.06^4+30/1.06^5+36/(1.06)^6+42/(1.06)^7+48/(1.06)^8+54/(1.06)^9+1060/(1.06)^10
=6/1.06+12/1.06^2+18/1.06^3+24/1.06^4+30/1.06^5+36/1.06^6+42/(1.06)^7+48/(1.06)^8+54/(1.06)^9+1060/(1.06)^10
=6/1.06+12/1.06^2+18/1.06^3+24/1.06^4+30/1.06^5+36/1.06^6+42/1.06^7+48/(1.06)^8+54/(1.06)^9+1060/(1.06)^10
=6/1.06+12/1.06^2+18/1.06^3+24/1.06^4+30/1.06^5+36/1.06^6+42/1.06^7+48/1.06^8+54/(1.06)^9+1060/(1.06)^10
=6/1.06+12/1.06^2+18/1.06^3+24/1.06^4+30/1.06^5+36/1.06^6+42/1.06^7+48/1.06^8+54/1.06^9+1060/(1.06)^10
=6/1.06+12/1.06^2+18/1.06^3+24/1.06^4+30/1.06^5+36/1.06^6+42/1.06^7+48/1.06^8+54/1.06^9+1060/1.06^10
=6/1.06+12/1.1236+18/1.06^3+24/1.06^4+30/1.06^5+36/1.06^6+42/1.06^7+48/1.06^8+54/1.06^9+1060/1.06^10
=6/1.06+12/1.1236+18/1.191016+24/1.06^4+30/1.06^5+36/1.06^6+42/1.06^7+48/1.06^8+54/1.06^9+1060/1.06^10
=6/1.06+12/1.1236+18/1.191016+24/1.26247696+30/1.06^5+36/1.06^6+42/1.06^7+48/1.06^8+54/1.06^9+1060/1.06^10
=6/1.06+12/1.1236+18/1.191016+24/1.26247696+30/1.3382255776+36/1.06^6+42/1.06^7+48/1.06^8+54/1.06^9+1060/1.06^10
=6/1.06+12/1.1236+18/1.191016+24/1.26247696+30/1.3382255776+36/1.418519112256+42/1.06^7+48/1.06^8+54/1.06^9+1060/1.06^10
=6/1.06+12/1.1236+18/1.191016+24/1.26247696+30/1.3382255776+36/1.418519112256+42/1.503630258991361+48/1.06^8+54/1.06^9+1060/1.06^10
=6/1.06+12/1.1236+18/1.191016+24/1.26247696+30/1.3382255776+36/1.418519112256+42/1.503630258991361+48/1.593848074530842+54/1.06^9+1060/1.06^10
=6/1.06+12/1.1236+18/1.191016+24/1.26247696+30/1.3382255776+36/1.418519112256+42/1.503630258991361+48/1.593848074530842+54/1.689478959002693+1060/1.06^10
=6/1.06+12/1.1236+18/1.191016+24/1.26247696+30/1.3382255776+36/1.418519112256+42/1.503630258991361+48/1.593848074530842+54/1.689478959002693+1060/1.790847696542855
=5.660377+12/1.1236+18/1.191016+24/1.26247696+30/1.3382255776+36/1.418519112256+42/1.503630258991361+48/1.593848074530842+54/1.689478959002693+1060/1.790847696542855
=5.660377+10.679957+18/1.191016+24/1.26247696+30/1.3382255776+36/1.418519112256+42/1.503630258991361+48/1.593848074530842+54/1.689478959002693+1060/1.790847696542855
=5.660377+10.679957+15.113147+24/1.26247696+30/1.3382255776+36/1.418519112256+42/1.503630258991361+48/1.593848074530842+54/1.689478959002693+1060/1.790847696542855
=5.660377+10.679957+15.113147+19.010248+30/1.3382255776+36/1.418519112256+42/1.503630258991361+48/1.593848074530842+54/1.689478959002693+1060/1.790847696542855
=5.660377+10.679957+15.113147+19.010248+22.417745+36/1.418519112256+42/1.503630258991361+48/1.593848074530842+54/1.689478959002693+1060/1.790847696542855
=5.660377+10.679957+15.113147+19.010248+22.417745+25.378579+42/1.503630258991361+48/1.593848074530842+54/1.689478959002693+1060/1.790847696542855
=5.660377+10.679957+15.113147+19.010248+22.417745+25.378579+27.932399+48/1.593848074530842+54/1.689478959002693+1060/1.790847696542855
=5.660377+10.679957+15.113147+19.010248+22.417745+25.378579+27.932399+30.115794+54/1.689478959002693+1060/1.790847696542855
=5.660377+10.679957+15.113147+19.010248+22.417745+25.378579+27.932399+30.115794+31.962517+1060/1.790847696542855
=5.660377+10.679957+15.113147+19.010248+22.417745+25.378579+27.932399+30.115794+31.962517+591.898464
=16.340334+15.113147+19.010248+22.417745+25.378579+27.932399+30.115794+31.962517+591.898464
=31.453481+19.010248+22.417745+25.378579+27.932399+30.115794+31.962517+591.898464
=50.463729+22.417745+25.378579+27.932399+30.115794+31.962517+591.898464
=72.881474+25.378579+27.932399+30.115794+31.962517+591.898464
=98.260053+27.932399+30.115794+31.962517+591.898464
=126.192452+30.115794+31.962517+591.898464
=156.308246+31.962517+591.898464
=188.270763+591.898464
=780.169227
Answer:6/(1.06)+12/(1.06)^2+18/(1.06)^3+24/(1.06)^4+30/(1.06)^5+36/(1.06)^6+42/(1.06)^7+48/(1.06)^8+54/(1.06)^9+1060/(1.06)^10=780.169227
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 6/(1.06)+12/(1.06)^2+18/(1.06)^3+24/(1.06)^4+30/(1.06)^5+36/(1.06)^6+42/(1.06)^7+48/(1.06)^8+54/(1.06)^9+1060/(1.06)^10 .
Question type: Mathematical calculation
Solution:
6/(1.06)+12/(1.06)^2+18/(1.06)^3+24/(1.06)^4+30/(1.06)^5+36/(1.06)^6+42/(1.06)^7+48/(1.06)^8+54/(1.06)^9+1060/(1.06)^10
=6/1.06+12/(1.06)^2+18/(1.06)^3+24/(1.06)^4+30/(1.06)^5+36/(1.06)^6+42/(1.06)^7+48/(1.06)^8+54/(1.06)^9+1060/(1.06)^10
=6/1.06+12/1.06^2+18/(1.06)^3+24/(1.06)^4+30/(1.06)^5+36/(1.06)^6+42/(1.06)^7+48/(1.06)^8+54/(1.06)^9+1060/(1.06)^10
=6/1.06+12/1.06^2+18/1.06^3+24/(1.06)^4+30/(1.06)^5+36/(1.06)^6+42/(1.06)^7+48/(1.06)^8+54/(1.06)^9+1060/(1.06)^10
=6/1.06+12/1.06^2+18/1.06^3+24/1.06^4+30/(1.06)^5+36/(1.06)^6+42/(1.06)^7+48/(1.06)^8+54/(1.06)^9+1060/(1.06)^10
=6/1.06+12/1.06^2+18/1.06^3+24/1.06^4+30/1.06^5+36/(1.06)^6+42/(1.06)^7+48/(1.06)^8+54/(1.06)^9+1060/(1.06)^10
=6/1.06+12/1.06^2+18/1.06^3+24/1.06^4+30/1.06^5+36/1.06^6+42/(1.06)^7+48/(1.06)^8+54/(1.06)^9+1060/(1.06)^10
=6/1.06+12/1.06^2+18/1.06^3+24/1.06^4+30/1.06^5+36/1.06^6+42/1.06^7+48/(1.06)^8+54/(1.06)^9+1060/(1.06)^10
=6/1.06+12/1.06^2+18/1.06^3+24/1.06^4+30/1.06^5+36/1.06^6+42/1.06^7+48/1.06^8+54/(1.06)^9+1060/(1.06)^10
=6/1.06+12/1.06^2+18/1.06^3+24/1.06^4+30/1.06^5+36/1.06^6+42/1.06^7+48/1.06^8+54/1.06^9+1060/(1.06)^10
=6/1.06+12/1.06^2+18/1.06^3+24/1.06^4+30/1.06^5+36/1.06^6+42/1.06^7+48/1.06^8+54/1.06^9+1060/1.06^10
=6/1.06+12/1.1236+18/1.06^3+24/1.06^4+30/1.06^5+36/1.06^6+42/1.06^7+48/1.06^8+54/1.06^9+1060/1.06^10
=6/1.06+12/1.1236+18/1.191016+24/1.06^4+30/1.06^5+36/1.06^6+42/1.06^7+48/1.06^8+54/1.06^9+1060/1.06^10
=6/1.06+12/1.1236+18/1.191016+24/1.26247696+30/1.06^5+36/1.06^6+42/1.06^7+48/1.06^8+54/1.06^9+1060/1.06^10
=6/1.06+12/1.1236+18/1.191016+24/1.26247696+30/1.3382255776+36/1.06^6+42/1.06^7+48/1.06^8+54/1.06^9+1060/1.06^10
=6/1.06+12/1.1236+18/1.191016+24/1.26247696+30/1.3382255776+36/1.418519112256+42/1.06^7+48/1.06^8+54/1.06^9+1060/1.06^10
=6/1.06+12/1.1236+18/1.191016+24/1.26247696+30/1.3382255776+36/1.418519112256+42/1.503630258991361+48/1.06^8+54/1.06^9+1060/1.06^10
=6/1.06+12/1.1236+18/1.191016+24/1.26247696+30/1.3382255776+36/1.418519112256+42/1.503630258991361+48/1.593848074530842+54/1.06^9+1060/1.06^10
=6/1.06+12/1.1236+18/1.191016+24/1.26247696+30/1.3382255776+36/1.418519112256+42/1.503630258991361+48/1.593848074530842+54/1.689478959002693+1060/1.06^10
=6/1.06+12/1.1236+18/1.191016+24/1.26247696+30/1.3382255776+36/1.418519112256+42/1.503630258991361+48/1.593848074530842+54/1.689478959002693+1060/1.790847696542855
=5.660377+12/1.1236+18/1.191016+24/1.26247696+30/1.3382255776+36/1.418519112256+42/1.503630258991361+48/1.593848074530842+54/1.689478959002693+1060/1.790847696542855
=5.660377+10.679957+18/1.191016+24/1.26247696+30/1.3382255776+36/1.418519112256+42/1.503630258991361+48/1.593848074530842+54/1.689478959002693+1060/1.790847696542855
=5.660377+10.679957+15.113147+24/1.26247696+30/1.3382255776+36/1.418519112256+42/1.503630258991361+48/1.593848074530842+54/1.689478959002693+1060/1.790847696542855
=5.660377+10.679957+15.113147+19.010248+30/1.3382255776+36/1.418519112256+42/1.503630258991361+48/1.593848074530842+54/1.689478959002693+1060/1.790847696542855
=5.660377+10.679957+15.113147+19.010248+22.417745+36/1.418519112256+42/1.503630258991361+48/1.593848074530842+54/1.689478959002693+1060/1.790847696542855
=5.660377+10.679957+15.113147+19.010248+22.417745+25.378579+42/1.503630258991361+48/1.593848074530842+54/1.689478959002693+1060/1.790847696542855
=5.660377+10.679957+15.113147+19.010248+22.417745+25.378579+27.932399+48/1.593848074530842+54/1.689478959002693+1060/1.790847696542855
=5.660377+10.679957+15.113147+19.010248+22.417745+25.378579+27.932399+30.115794+54/1.689478959002693+1060/1.790847696542855
=5.660377+10.679957+15.113147+19.010248+22.417745+25.378579+27.932399+30.115794+31.962517+1060/1.790847696542855
=5.660377+10.679957+15.113147+19.010248+22.417745+25.378579+27.932399+30.115794+31.962517+591.898464
=16.340334+15.113147+19.010248+22.417745+25.378579+27.932399+30.115794+31.962517+591.898464
=31.453481+19.010248+22.417745+25.378579+27.932399+30.115794+31.962517+591.898464
=50.463729+22.417745+25.378579+27.932399+30.115794+31.962517+591.898464
=72.881474+25.378579+27.932399+30.115794+31.962517+591.898464
=98.260053+27.932399+30.115794+31.962517+591.898464
=126.192452+30.115794+31.962517+591.898464
=156.308246+31.962517+591.898464
=188.270763+591.898464
=780.169227
Answer:6/(1.06)+12/(1.06)^2+18/(1.06)^3+24/(1.06)^4+30/(1.06)^5+36/(1.06)^6+42/(1.06)^7+48/(1.06)^8+54/(1.06)^9+1060/(1.06)^10=780.169227