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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 (1.06^1)+(1.06^2)+(1.06^3)+(1.06^4)+(1.06^5)+(1.06^6)+(1.06^7)+(1.06^8)+(1.06^9)+(1.06^10)+(1.06^11)+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15) .
Question type: Mathematical calculation
Solution:
(1.06^1)+(1.06^2)+(1.06^3)+(1.06^4)+(1.06^5)+(1.06^6)+(1.06^7)+(1.06^8)+(1.06^9)+(1.06^10)+(1.06^11)+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15)
=1.06+(1.06^2)+(1.06^3)+(1.06^4)+(1.06^5)+(1.06^6)+(1.06^7)+(1.06^8)+(1.06^9)+(1.06^10)+(1.06^11)+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15)
=1.06+1.1236+(1.06^3)+(1.06^4)+(1.06^5)+(1.06^6)+(1.06^7)+(1.06^8)+(1.06^9)+(1.06^10)+(1.06^11)+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15)
=1.06+1.1236+1.191016+(1.06^4)+(1.06^5)+(1.06^6)+(1.06^7)+(1.06^8)+(1.06^9)+(1.06^10)+(1.06^11)+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15)
=1.06+1.1236+1.191016+1.26247696+(1.06^5)+(1.06^6)+(1.06^7)+(1.06^8)+(1.06^9)+(1.06^10)+(1.06^11)+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15)
=1.06+1.1236+1.191016+1.26247696+1.3382255776+(1.06^6)+(1.06^7)+(1.06^8)+(1.06^9)+(1.06^10)+(1.06^11)+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15)
=1.06+1.1236+1.191016+1.26247696+1.3382255776+1.418519112256+(1.06^7)+(1.06^8)+(1.06^9)+(1.06^10)+(1.06^11)+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15)
=1.06+1.1236+1.191016+1.26247696+1.3382255776+1.418519112256+1.503630258991361+(1.06^8)+(1.06^9)+(1.06^10)+(1.06^11)+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15)
=1.06+1.1236+1.191016+1.26247696+1.3382255776+1.418519112256+1.503630258991361+1.593848074530842+(1.06^9)+(1.06^10)+(1.06^11)+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15)
=1.06+1.1236+1.191016+1.26247696+1.3382255776+1.418519112256+1.503630258991361+1.593848074530842+1.689478959002693+(1.06^10)+(1.06^11)+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15)
=1.06+1.1236+1.191016+1.26247696+1.3382255776+1.418519112256+1.503630258991361+1.593848074530842+1.689478959002693+1.790847696542855+(1.06^11)+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15)
=1.06+1.1236+1.191016+1.26247696+1.3382255776+1.418519112256+1.503630258991361+1.593848074530842+1.689478959002693+1.790847696542855+1.898298558335426+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15)
=1.06+1.1236+1.191016+1.26247696+1.3382255776+1.418519112256+1.503630258991361+1.593848074530842+1.689478959002693+1.790847696542855+1.898298558335426+2.012196471835551+(1.06^13)+(1.06^14)+(1.06^15)
=1.06+1.1236+1.191016+1.26247696+1.3382255776+1.418519112256+1.503630258991361+1.593848074530842+1.689478959002693+1.790847696542855+1.898298558335426+2.012196471835551+2.132928260145685+(1.06^14)+(1.06^15)
=1.06+1.1236+1.191016+1.26247696+1.3382255776+1.418519112256+1.503630258991361+1.593848074530842+1.689478959002693+1.790847696542855+1.898298558335426+2.012196471835551+2.132928260145685+2.260903955754426+(1.06^15)
=1.06+1.1236+1.191016+1.26247696+1.3382255776+1.418519112256+1.503630258991361+1.593848074530842+1.689478959002693+1.790847696542855+1.898298558335426+2.012196471835551+2.132928260145685+2.260903955754426+2.396558193099692
=2.1836+1.191016+1.26247696+1.3382255776+1.418519112256+1.503630258991361+1.593848074530842+1.689478959002693+1.790847696542855+1.898298558335426+2.012196471835551+2.132928260145685+2.260903955754426+2.396558193099692
=3.374616+1.26247696+1.3382255776+1.418519112256+1.503630258991361+1.593848074530842+1.689478959002693+1.790847696542855+1.898298558335426+2.012196471835551+2.132928260145685+2.260903955754426+2.396558193099692
=4.637093+1.3382255776+1.418519112256+1.503630258991361+1.593848074530842+1.689478959002693+1.790847696542855+1.898298558335426+2.012196471835551+2.132928260145685+2.260903955754426+2.396558193099692
=5.975319+1.418519112256+1.503630258991361+1.593848074530842+1.689478959002693+1.790847696542855+1.898298558335426+2.012196471835551+2.132928260145685+2.260903955754426+2.396558193099692
=7.393838+1.503630258991361+1.593848074530842+1.689478959002693+1.790847696542855+1.898298558335426+2.012196471835551+2.132928260145685+2.260903955754426+2.396558193099692
=8.897468+1.593848074530842+1.689478959002693+1.790847696542855+1.898298558335426+2.012196471835551+2.132928260145685+2.260903955754426+2.396558193099692
=10.491316+1.689478959002693+1.790847696542855+1.898298558335426+2.012196471835551+2.132928260145685+2.260903955754426+2.396558193099692
=12.180795+1.790847696542855+1.898298558335426+2.012196471835551+2.132928260145685+2.260903955754426+2.396558193099692
=13.971643+1.898298558335426+2.012196471835551+2.132928260145685+2.260903955754426+2.396558193099692
=15.869942+2.012196471835551+2.132928260145685+2.260903955754426+2.396558193099692
=17.882138+2.132928260145685+2.260903955754426+2.396558193099692
=20.015066+2.260903955754426+2.396558193099692
=22.27597+2.396558193099692
=24.672528
Answer:(1.06^1)+(1.06^2)+(1.06^3)+(1.06^4)+(1.06^5)+(1.06^6)+(1.06^7)+(1.06^8)+(1.06^9)+(1.06^10)+(1.06^11)+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15)=24.672528
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation (1.06^1)+(1.06^2)+(1.06^3)+(1.06^4)+(1.06^5)+(1.06^6)+(1.06^7)+(1.06^8)+(1.06^9)+(1.06^10)+(1.06^11)+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15) .
Question type: Mathematical calculation
Solution:
(1.06^1)+(1.06^2)+(1.06^3)+(1.06^4)+(1.06^5)+(1.06^6)+(1.06^7)+(1.06^8)+(1.06^9)+(1.06^10)+(1.06^11)+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15)
=1.06+(1.06^2)+(1.06^3)+(1.06^4)+(1.06^5)+(1.06^6)+(1.06^7)+(1.06^8)+(1.06^9)+(1.06^10)+(1.06^11)+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15)
=1.06+1.1236+(1.06^3)+(1.06^4)+(1.06^5)+(1.06^6)+(1.06^7)+(1.06^8)+(1.06^9)+(1.06^10)+(1.06^11)+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15)
=1.06+1.1236+1.191016+(1.06^4)+(1.06^5)+(1.06^6)+(1.06^7)+(1.06^8)+(1.06^9)+(1.06^10)+(1.06^11)+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15)
=1.06+1.1236+1.191016+1.26247696+(1.06^5)+(1.06^6)+(1.06^7)+(1.06^8)+(1.06^9)+(1.06^10)+(1.06^11)+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15)
=1.06+1.1236+1.191016+1.26247696+1.3382255776+(1.06^6)+(1.06^7)+(1.06^8)+(1.06^9)+(1.06^10)+(1.06^11)+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15)
=1.06+1.1236+1.191016+1.26247696+1.3382255776+1.418519112256+(1.06^7)+(1.06^8)+(1.06^9)+(1.06^10)+(1.06^11)+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15)
=1.06+1.1236+1.191016+1.26247696+1.3382255776+1.418519112256+1.503630258991361+(1.06^8)+(1.06^9)+(1.06^10)+(1.06^11)+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15)
=1.06+1.1236+1.191016+1.26247696+1.3382255776+1.418519112256+1.503630258991361+1.593848074530842+(1.06^9)+(1.06^10)+(1.06^11)+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15)
=1.06+1.1236+1.191016+1.26247696+1.3382255776+1.418519112256+1.503630258991361+1.593848074530842+1.689478959002693+(1.06^10)+(1.06^11)+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15)
=1.06+1.1236+1.191016+1.26247696+1.3382255776+1.418519112256+1.503630258991361+1.593848074530842+1.689478959002693+1.790847696542855+(1.06^11)+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15)
=1.06+1.1236+1.191016+1.26247696+1.3382255776+1.418519112256+1.503630258991361+1.593848074530842+1.689478959002693+1.790847696542855+1.898298558335426+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15)
=1.06+1.1236+1.191016+1.26247696+1.3382255776+1.418519112256+1.503630258991361+1.593848074530842+1.689478959002693+1.790847696542855+1.898298558335426+2.012196471835551+(1.06^13)+(1.06^14)+(1.06^15)
=1.06+1.1236+1.191016+1.26247696+1.3382255776+1.418519112256+1.503630258991361+1.593848074530842+1.689478959002693+1.790847696542855+1.898298558335426+2.012196471835551+2.132928260145685+(1.06^14)+(1.06^15)
=1.06+1.1236+1.191016+1.26247696+1.3382255776+1.418519112256+1.503630258991361+1.593848074530842+1.689478959002693+1.790847696542855+1.898298558335426+2.012196471835551+2.132928260145685+2.260903955754426+(1.06^15)
=1.06+1.1236+1.191016+1.26247696+1.3382255776+1.418519112256+1.503630258991361+1.593848074530842+1.689478959002693+1.790847696542855+1.898298558335426+2.012196471835551+2.132928260145685+2.260903955754426+2.396558193099692
=2.1836+1.191016+1.26247696+1.3382255776+1.418519112256+1.503630258991361+1.593848074530842+1.689478959002693+1.790847696542855+1.898298558335426+2.012196471835551+2.132928260145685+2.260903955754426+2.396558193099692
=3.374616+1.26247696+1.3382255776+1.418519112256+1.503630258991361+1.593848074530842+1.689478959002693+1.790847696542855+1.898298558335426+2.012196471835551+2.132928260145685+2.260903955754426+2.396558193099692
=4.637093+1.3382255776+1.418519112256+1.503630258991361+1.593848074530842+1.689478959002693+1.790847696542855+1.898298558335426+2.012196471835551+2.132928260145685+2.260903955754426+2.396558193099692
=5.975319+1.418519112256+1.503630258991361+1.593848074530842+1.689478959002693+1.790847696542855+1.898298558335426+2.012196471835551+2.132928260145685+2.260903955754426+2.396558193099692
=7.393838+1.503630258991361+1.593848074530842+1.689478959002693+1.790847696542855+1.898298558335426+2.012196471835551+2.132928260145685+2.260903955754426+2.396558193099692
=8.897468+1.593848074530842+1.689478959002693+1.790847696542855+1.898298558335426+2.012196471835551+2.132928260145685+2.260903955754426+2.396558193099692
=10.491316+1.689478959002693+1.790847696542855+1.898298558335426+2.012196471835551+2.132928260145685+2.260903955754426+2.396558193099692
=12.180795+1.790847696542855+1.898298558335426+2.012196471835551+2.132928260145685+2.260903955754426+2.396558193099692
=13.971643+1.898298558335426+2.012196471835551+2.132928260145685+2.260903955754426+2.396558193099692
=15.869942+2.012196471835551+2.132928260145685+2.260903955754426+2.396558193099692
=17.882138+2.132928260145685+2.260903955754426+2.396558193099692
=20.015066+2.260903955754426+2.396558193099692
=22.27597+2.396558193099692
=24.672528
Answer:(1.06^1)+(1.06^2)+(1.06^3)+(1.06^4)+(1.06^5)+(1.06^6)+(1.06^7)+(1.06^8)+(1.06^9)+(1.06^10)+(1.06^11)+(1.06^12)+(1.06^13)+(1.06^14)+(1.06^15)=24.672528