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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 35/(1+8%)+35/(1+8%)^2+35/(1+8%)^3+35/(1+8%)^4+35/(1+8%)^5+35/(1+8%)^6+35/(1+8%)^7+1000/(1+8%)^7 .
Question type: Mathematical calculation
Solution:
35/(1+8%)+35/(1+8%)^2+35/(1+8%)^3+35/(1+8%)^4+35/(1+8%)^5+35/(1+8%)^6+35/(1+8%)^7+1000/(1+8%)^7
=35/1.08+35/(1+8%)^2+35/(1+8%)^3+35/(1+8%)^4+35/(1+8%)^5+35/(1+8%)^6+35/(1+8%)^7+1000/(1+8%)^7
=35/1.08+35/1.08^2+35/(1+8%)^3+35/(1+8%)^4+35/(1+8%)^5+35/(1+8%)^6+35/(1+8%)^7+1000/(1+8%)^7
=35/1.08+35/1.08^2+35/1.08^3+35/(1+8%)^4+35/(1+8%)^5+35/(1+8%)^6+35/(1+8%)^7+1000/(1+8%)^7
=35/1.08+35/1.08^2+35/1.08^3+35/1.08^4+35/(1+8%)^5+35/(1+8%)^6+35/(1+8%)^7+1000/(1+8%)^7
=35/1.08+35/1.08^2+35/1.08^3+35/1.08^4+35/1.08^5+35/(1+8%)^6+35/(1+8%)^7+1000/(1+8%)^7
=35/1.08+35/1.08^2+35/1.08^3+35/1.08^4+35/1.08^5+35/1.08^6+35/(1+8%)^7+1000/(1+8%)^7
=35/1.08+35/1.08^2+35/1.08^3+35/1.08^4+35/1.08^5+35/1.08^6+35/1.08^7+1000/(1+8%)^7
=35/1.08+35/1.08^2+35/1.08^3+35/1.08^4+35/1.08^5+35/1.08^6+35/1.08^7+1000/1.08^7
=35/1.08+35/1.1664+35/1.08^3+35/1.08^4+35/1.08^5+35/1.08^6+35/1.08^7+1000/1.08^7
=35/1.08+35/1.1664+35/1.259712+35/1.08^4+35/1.08^5+35/1.08^6+35/1.08^7+1000/1.08^7
=35/1.08+35/1.1664+35/1.259712+35/1.36048896+35/1.08^5+35/1.08^6+35/1.08^7+1000/1.08^7
=35/1.08+35/1.1664+35/1.259712+35/1.36048896+35/1.469328076800001+35/1.08^6+35/1.08^7+1000/1.08^7
=35/1.08+35/1.1664+35/1.259712+35/1.36048896+35/1.469328076800001+35/1.586874322944001+35/1.08^7+1000/1.08^7
=35/1.08+35/1.1664+35/1.259712+35/1.36048896+35/1.469328076800001+35/1.586874322944001+35/1.713824268779521+1000/1.08^7
=35/1.08+35/1.1664+35/1.259712+35/1.36048896+35/1.469328076800001+35/1.586874322944001+35/1.713824268779521+1000/1.713824268779521
=32.407407+35/1.1664+35/1.259712+35/1.36048896+35/1.469328076800001+35/1.586874322944001+35/1.713824268779521+1000/1.713824268779521
=32.407407+30.006859+35/1.259712+35/1.36048896+35/1.469328076800001+35/1.586874322944001+35/1.713824268779521+1000/1.713824268779521
=32.407407+30.006859+27.784128+35/1.36048896+35/1.469328076800001+35/1.586874322944001+35/1.713824268779521+1000/1.713824268779521
=32.407407+30.006859+27.784128+25.726045+35/1.469328076800001+35/1.586874322944001+35/1.713824268779521+1000/1.713824268779521
=32.407407+30.006859+27.784128+25.726045+23.820412+35/1.586874322944001+35/1.713824268779521+1000/1.713824268779521
=32.407407+30.006859+27.784128+25.726045+23.820412+22.055937+35/1.713824268779521+1000/1.713824268779521
=32.407407+30.006859+27.784128+25.726045+23.820412+22.055937+20.422164+1000/1.713824268779521
=32.407407+30.006859+27.784128+25.726045+23.820412+22.055937+20.422164+583.490395
=62.414266+27.784128+25.726045+23.820412+22.055937+20.422164+583.490395
=90.198394+25.726045+23.820412+22.055937+20.422164+583.490395
=115.924439+23.820412+22.055937+20.422164+583.490395
=139.744851+22.055937+20.422164+583.490395
=161.800788+20.422164+583.490395
=182.222952+583.490395
=765.713347
Answer:35/(1+8%)+35/(1+8%)^2+35/(1+8%)^3+35/(1+8%)^4+35/(1+8%)^5+35/(1+8%)^6+35/(1+8%)^7+1000/(1+8%)^7=765.713347