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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
=29.55665+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
=29.55665+29.119852+30/1.045678375+30/1.061363550625+30/1.077284003884375+30/1.09344326394264+30/1.10984491290178+30/1.126492586595306+30/1.143389975394236+30/1.160540825025149
=29.55665+29.119852+28.68951+30/1.061363550625+30/1.077284003884375+30/1.09344326394264+30/1.10984491290178+30/1.126492586595306+30/1.143389975394236+30/1.160540825025149
=29.55665+29.119852+28.68951+28.265527+30/1.077284003884375+30/1.09344326394264+30/1.10984491290178+30/1.126492586595306+30/1.143389975394236+30/1.160540825025149
=29.55665+29.119852+28.68951+28.265527+27.84781+30/1.09344326394264+30/1.10984491290178+30/1.126492586595306+30/1.143389975394236+30/1.160540825025149
=29.55665+29.119852+28.68951+28.265527+27.84781+27.436266+30/1.10984491290178+30/1.126492586595306+30/1.143389975394236+30/1.160540825025149
=29.55665+29.119852+28.68951+28.265527+27.84781+27.436266+27.030804+30/1.126492586595306+30/1.143389975394236+30/1.160540825025149
=29.55665+29.119852+28.68951+28.265527+27.84781+27.436266+27.030804+26.631334+30/1.143389975394236+30/1.160540825025149
=29.55665+29.119852+28.68951+28.265527+27.84781+27.436266+27.030804+26.631334+26.237767+30/1.160540825025149
=29.55665+29.119852+28.68951+28.265527+27.84781+27.436266+27.030804+26.631334+26.237767+25.850017
=58.676502+28.68951+28.265527+27.84781+27.436266+27.030804+26.631334+26.237767+25.850017
=87.366012+28.265527+27.84781+27.436266+27.030804+26.631334+26.237767+25.850017
=115.631539+27.84781+27.436266+27.030804+26.631334+26.237767+25.850017
=143.479349+27.436266+27.030804+26.631334+26.237767+25.850017
=170.915615+27.030804+26.631334+26.237767+25.850017
=197.946419+26.631334+26.237767+25.850017
=224.577753+26.237767+25.850017
=250.81552+25.850017
=276.665537
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=276.665537
☆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
=29.55665+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
=29.55665+29.119852+30/1.045678375+30/1.061363550625+30/1.077284003884375+30/1.09344326394264+30/1.10984491290178+30/1.126492586595306+30/1.143389975394236+30/1.160540825025149
=29.55665+29.119852+28.68951+30/1.061363550625+30/1.077284003884375+30/1.09344326394264+30/1.10984491290178+30/1.126492586595306+30/1.143389975394236+30/1.160540825025149
=29.55665+29.119852+28.68951+28.265527+30/1.077284003884375+30/1.09344326394264+30/1.10984491290178+30/1.126492586595306+30/1.143389975394236+30/1.160540825025149
=29.55665+29.119852+28.68951+28.265527+27.84781+30/1.09344326394264+30/1.10984491290178+30/1.126492586595306+30/1.143389975394236+30/1.160540825025149
=29.55665+29.119852+28.68951+28.265527+27.84781+27.436266+30/1.10984491290178+30/1.126492586595306+30/1.143389975394236+30/1.160540825025149
=29.55665+29.119852+28.68951+28.265527+27.84781+27.436266+27.030804+30/1.126492586595306+30/1.143389975394236+30/1.160540825025149
=29.55665+29.119852+28.68951+28.265527+27.84781+27.436266+27.030804+26.631334+30/1.143389975394236+30/1.160540825025149
=29.55665+29.119852+28.68951+28.265527+27.84781+27.436266+27.030804+26.631334+26.237767+30/1.160540825025149
=29.55665+29.119852+28.68951+28.265527+27.84781+27.436266+27.030804+26.631334+26.237767+25.850017
=58.676502+28.68951+28.265527+27.84781+27.436266+27.030804+26.631334+26.237767+25.850017
=87.366012+28.265527+27.84781+27.436266+27.030804+26.631334+26.237767+25.850017
=115.631539+27.84781+27.436266+27.030804+26.631334+26.237767+25.850017
=143.479349+27.436266+27.030804+26.631334+26.237767+25.850017
=170.915615+27.030804+26.631334+26.237767+25.850017
=197.946419+26.631334+26.237767+25.850017
=224.577753+26.237767+25.850017
=250.81552+25.850017
=276.665537
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=276.665537