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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 30*(1+1.5%)+30*(1+1.5%)^2+30*(1+1.5%)^3+30*(1+1.5%)^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7+30*(1+1.5%)^8+30*(1+1.5%)^9+30*(1+1.5%)^10 .
Question type: Mathematical calculation
Solution:
30*(1+1.5%)+30*(1+1.5%)^2+30*(1+1.5%)^3+30*(1+1.5%)^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7+30*(1+1.5%)^8+30*(1+1.5%)^9+30*(1+1.5%)^10
=30*1.015+30*(1+1.5%)^2+30*(1+1.5%)^3+30*(1+1.5%)^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7+30*(1+1.5%)^8+30*(1+1.5%)^9+30*(1+1.5%)^10
=30*1.015+30*1.015^2+30*(1+1.5%)^3+30*(1+1.5%)^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7+30*(1+1.5%)^8+30*(1+1.5%)^9+30*(1+1.5%)^10
=30*1.015+30*1.015^2+30*1.015^3+30*(1+1.5%)^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7+30*(1+1.5%)^8+30*(1+1.5%)^9+30*(1+1.5%)^10
=30*1.015+30*1.015^2+30*1.015^3+30*1.015^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7+30*(1+1.5%)^8+30*(1+1.5%)^9+30*(1+1.5%)^10
=30*1.015+30*1.015^2+30*1.015^3+30*1.015^4+30*1.015^5+30*(1+1.5%)^6+30*(1+1.5%)^7+30*(1+1.5%)^8+30*(1+1.5%)^9+30*(1+1.5%)^10
=30*1.015+30*1.015^2+30*1.015^3+30*1.015^4+30*1.015^5+30*1.015^6+30*(1+1.5%)^7+30*(1+1.5%)^8+30*(1+1.5%)^9+30*(1+1.5%)^10
=30*1.015+30*1.015^2+30*1.015^3+30*1.015^4+30*1.015^5+30*1.015^6+30*1.015^7+30*(1+1.5%)^8+30*(1+1.5%)^9+30*(1+1.5%)^10
=30*1.015+30*1.015^2+30*1.015^3+30*1.015^4+30*1.015^5+30*1.015^6+30*1.015^7+30*1.015^8+30*(1+1.5%)^9+30*(1+1.5%)^10
=30*1.015+30*1.015^2+30*1.015^3+30*1.015^4+30*1.015^5+30*1.015^6+30*1.015^7+30*1.015^8+30*1.015^9+30*(1+1.5%)^10
=30*1.015+30*1.015^2+30*1.015^3+30*1.015^4+30*1.015^5+30*1.015^6+30*1.015^7+30*1.015^8+30*1.015^9+30*1.015^10
=30*1.015+30*1.030225+30*1.015^3+30*1.015^4+30*1.015^5+30*1.015^6+30*1.015^7+30*1.015^8+30*1.015^9+30*1.015^10
=30*1.015+30*1.030225+30*1.045678375+30*1.015^4+30*1.015^5+30*1.015^6+30*1.015^7+30*1.015^8+30*1.015^9+30*1.015^10
=30*1.015+30*1.030225+30*1.045678375+30*1.061363550625+30*1.015^5+30*1.015^6+30*1.015^7+30*1.015^8+30*1.015^9+30*1.015^10
=30*1.015+30*1.030225+30*1.045678375+30*1.061363550625+30*1.077284003884375+30*1.015^6+30*1.015^7+30*1.015^8+30*1.015^9+30*1.015^10
=30*1.015+30*1.030225+30*1.045678375+30*1.061363550625+30*1.077284003884375+30*1.09344326394264+30*1.015^7+30*1.015^8+30*1.015^9+30*1.015^10
=30*1.015+30*1.030225+30*1.045678375+30*1.061363550625+30*1.077284003884375+30*1.09344326394264+30*1.10984491290178+30*1.015^8+30*1.015^9+30*1.015^10
=30*1.015+30*1.030225+30*1.045678375+30*1.061363550625+30*1.077284003884375+30*1.09344326394264+30*1.10984491290178+30*1.126492586595306+30*1.015^9+30*1.015^10
=30*1.015+30*1.030225+30*1.045678375+30*1.061363550625+30*1.077284003884375+30*1.09344326394264+30*1.10984491290178+30*1.126492586595306+30*1.143389975394236+30*1.015^10
=30*1.015+30*1.030225+30*1.045678375+30*1.061363550625+30*1.077284003884375+30*1.09344326394264+30*1.10984491290178+30*1.126492586595306+30*1.143389975394236+30*1.160540825025149
=30.45+30*1.030225+30*1.045678375+30*1.061363550625+30*1.077284003884375+30*1.09344326394264+30*1.10984491290178+30*1.126492586595306+30*1.143389975394236+30*1.160540825025149
=30.45+30.90675+30*1.045678375+30*1.061363550625+30*1.077284003884375+30*1.09344326394264+30*1.10984491290178+30*1.126492586595306+30*1.143389975394236+30*1.160540825025149
=30.45+30.90675+31.370351+30*1.061363550625+30*1.077284003884375+30*1.09344326394264+30*1.10984491290178+30*1.126492586595306+30*1.143389975394236+30*1.160540825025149
=30.45+30.90675+31.370351+31.840907+30*1.077284003884375+30*1.09344326394264+30*1.10984491290178+30*1.126492586595306+30*1.143389975394236+30*1.160540825025149
=30.45+30.90675+31.370351+31.840907+32.31852+30*1.09344326394264+30*1.10984491290178+30*1.126492586595306+30*1.143389975394236+30*1.160540825025149
=30.45+30.90675+31.370351+31.840907+32.31852+32.803298+30*1.10984491290178+30*1.126492586595306+30*1.143389975394236+30*1.160540825025149
=30.45+30.90675+31.370351+31.840907+32.31852+32.803298+33.295347+30*1.126492586595306+30*1.143389975394236+30*1.160540825025149
=30.45+30.90675+31.370351+31.840907+32.31852+32.803298+33.295347+33.794778+30*1.143389975394236+30*1.160540825025149
=30.45+30.90675+31.370351+31.840907+32.31852+32.803298+33.295347+33.794778+34.301699+30*1.160540825025149
=30.45+30.90675+31.370351+31.840907+32.31852+32.803298+33.295347+33.794778+34.301699+34.816225
=61.35675+31.370351+31.840907+32.31852+32.803298+33.295347+33.794778+34.301699+34.816225
=92.727101+31.840907+32.31852+32.803298+33.295347+33.794778+34.301699+34.816225
=124.568008+32.31852+32.803298+33.295347+33.794778+34.301699+34.816225
=156.886528+32.803298+33.295347+33.794778+34.301699+34.816225
=189.689826+33.295347+33.794778+34.301699+34.816225
=222.985173+33.794778+34.301699+34.816225
=256.779951+34.301699+34.816225
=291.08165+34.816225
=325.897875
Answer:30*(1+1.5%)+30*(1+1.5%)^2+30*(1+1.5%)^3+30*(1+1.5%)^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7+30*(1+1.5%)^8+30*(1+1.5%)^9+30*(1+1.5%)^10=325.897875
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 30*(1+1.5%)+30*(1+1.5%)^2+30*(1+1.5%)^3+30*(1+1.5%)^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7+30*(1+1.5%)^8+30*(1+1.5%)^9+30*(1+1.5%)^10 .
Question type: Mathematical calculation
Solution:
30*(1+1.5%)+30*(1+1.5%)^2+30*(1+1.5%)^3+30*(1+1.5%)^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7+30*(1+1.5%)^8+30*(1+1.5%)^9+30*(1+1.5%)^10
=30*1.015+30*(1+1.5%)^2+30*(1+1.5%)^3+30*(1+1.5%)^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7+30*(1+1.5%)^8+30*(1+1.5%)^9+30*(1+1.5%)^10
=30*1.015+30*1.015^2+30*(1+1.5%)^3+30*(1+1.5%)^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7+30*(1+1.5%)^8+30*(1+1.5%)^9+30*(1+1.5%)^10
=30*1.015+30*1.015^2+30*1.015^3+30*(1+1.5%)^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7+30*(1+1.5%)^8+30*(1+1.5%)^9+30*(1+1.5%)^10
=30*1.015+30*1.015^2+30*1.015^3+30*1.015^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7+30*(1+1.5%)^8+30*(1+1.5%)^9+30*(1+1.5%)^10
=30*1.015+30*1.015^2+30*1.015^3+30*1.015^4+30*1.015^5+30*(1+1.5%)^6+30*(1+1.5%)^7+30*(1+1.5%)^8+30*(1+1.5%)^9+30*(1+1.5%)^10
=30*1.015+30*1.015^2+30*1.015^3+30*1.015^4+30*1.015^5+30*1.015^6+30*(1+1.5%)^7+30*(1+1.5%)^8+30*(1+1.5%)^9+30*(1+1.5%)^10
=30*1.015+30*1.015^2+30*1.015^3+30*1.015^4+30*1.015^5+30*1.015^6+30*1.015^7+30*(1+1.5%)^8+30*(1+1.5%)^9+30*(1+1.5%)^10
=30*1.015+30*1.015^2+30*1.015^3+30*1.015^4+30*1.015^5+30*1.015^6+30*1.015^7+30*1.015^8+30*(1+1.5%)^9+30*(1+1.5%)^10
=30*1.015+30*1.015^2+30*1.015^3+30*1.015^4+30*1.015^5+30*1.015^6+30*1.015^7+30*1.015^8+30*1.015^9+30*(1+1.5%)^10
=30*1.015+30*1.015^2+30*1.015^3+30*1.015^4+30*1.015^5+30*1.015^6+30*1.015^7+30*1.015^8+30*1.015^9+30*1.015^10
=30*1.015+30*1.030225+30*1.015^3+30*1.015^4+30*1.015^5+30*1.015^6+30*1.015^7+30*1.015^8+30*1.015^9+30*1.015^10
=30*1.015+30*1.030225+30*1.045678375+30*1.015^4+30*1.015^5+30*1.015^6+30*1.015^7+30*1.015^8+30*1.015^9+30*1.015^10
=30*1.015+30*1.030225+30*1.045678375+30*1.061363550625+30*1.015^5+30*1.015^6+30*1.015^7+30*1.015^8+30*1.015^9+30*1.015^10
=30*1.015+30*1.030225+30*1.045678375+30*1.061363550625+30*1.077284003884375+30*1.015^6+30*1.015^7+30*1.015^8+30*1.015^9+30*1.015^10
=30*1.015+30*1.030225+30*1.045678375+30*1.061363550625+30*1.077284003884375+30*1.09344326394264+30*1.015^7+30*1.015^8+30*1.015^9+30*1.015^10
=30*1.015+30*1.030225+30*1.045678375+30*1.061363550625+30*1.077284003884375+30*1.09344326394264+30*1.10984491290178+30*1.015^8+30*1.015^9+30*1.015^10
=30*1.015+30*1.030225+30*1.045678375+30*1.061363550625+30*1.077284003884375+30*1.09344326394264+30*1.10984491290178+30*1.126492586595306+30*1.015^9+30*1.015^10
=30*1.015+30*1.030225+30*1.045678375+30*1.061363550625+30*1.077284003884375+30*1.09344326394264+30*1.10984491290178+30*1.126492586595306+30*1.143389975394236+30*1.015^10
=30*1.015+30*1.030225+30*1.045678375+30*1.061363550625+30*1.077284003884375+30*1.09344326394264+30*1.10984491290178+30*1.126492586595306+30*1.143389975394236+30*1.160540825025149
=30.45+30*1.030225+30*1.045678375+30*1.061363550625+30*1.077284003884375+30*1.09344326394264+30*1.10984491290178+30*1.126492586595306+30*1.143389975394236+30*1.160540825025149
=30.45+30.90675+30*1.045678375+30*1.061363550625+30*1.077284003884375+30*1.09344326394264+30*1.10984491290178+30*1.126492586595306+30*1.143389975394236+30*1.160540825025149
=30.45+30.90675+31.370351+30*1.061363550625+30*1.077284003884375+30*1.09344326394264+30*1.10984491290178+30*1.126492586595306+30*1.143389975394236+30*1.160540825025149
=30.45+30.90675+31.370351+31.840907+30*1.077284003884375+30*1.09344326394264+30*1.10984491290178+30*1.126492586595306+30*1.143389975394236+30*1.160540825025149
=30.45+30.90675+31.370351+31.840907+32.31852+30*1.09344326394264+30*1.10984491290178+30*1.126492586595306+30*1.143389975394236+30*1.160540825025149
=30.45+30.90675+31.370351+31.840907+32.31852+32.803298+30*1.10984491290178+30*1.126492586595306+30*1.143389975394236+30*1.160540825025149
=30.45+30.90675+31.370351+31.840907+32.31852+32.803298+33.295347+30*1.126492586595306+30*1.143389975394236+30*1.160540825025149
=30.45+30.90675+31.370351+31.840907+32.31852+32.803298+33.295347+33.794778+30*1.143389975394236+30*1.160540825025149
=30.45+30.90675+31.370351+31.840907+32.31852+32.803298+33.295347+33.794778+34.301699+30*1.160540825025149
=30.45+30.90675+31.370351+31.840907+32.31852+32.803298+33.295347+33.794778+34.301699+34.816225
=61.35675+31.370351+31.840907+32.31852+32.803298+33.295347+33.794778+34.301699+34.816225
=92.727101+31.840907+32.31852+32.803298+33.295347+33.794778+34.301699+34.816225
=124.568008+32.31852+32.803298+33.295347+33.794778+34.301699+34.816225
=156.886528+32.803298+33.295347+33.794778+34.301699+34.816225
=189.689826+33.295347+33.794778+34.301699+34.816225
=222.985173+33.794778+34.301699+34.816225
=256.779951+34.301699+34.816225
=291.08165+34.816225
=325.897875
Answer:30*(1+1.5%)+30*(1+1.5%)^2+30*(1+1.5%)^3+30*(1+1.5%)^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7+30*(1+1.5%)^8+30*(1+1.5%)^9+30*(1+1.5%)^10=325.897875