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☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 3*(1+5%)+3*(1+1%)*(1+5%)^2+3*(1+1%)^2*(1+5%)^3+3*(1+1%)^3*(1+5%)^4+3*(1+1%)^4*(1+5%)^5+3*(1+1%)^5*(1+5%)^6+3*(1+1%)^6*(1+5%)^7 .
Question type: Mathematical calculation
Solution:
3*(1+5%)+3*(1+1%)*(1+5%)^2+3*(1+1%)^2*(1+5%)^3+3*(1+1%)^3*(1+5%)^4+3*(1+1%)^4*(1+5%)^5+3*(1+1%)^5*(1+5%)^6+3*(1+1%)^6*(1+5%)^7
=3*1.05+3*(1+1%)*(1+5%)^2+3*(1+1%)^2*(1+5%)^3+3*(1+1%)^3*(1+5%)^4+3*(1+1%)^4*(1+5%)^5+3*(1+1%)^5*(1+5%)^6+3*(1+1%)^6*(1+5%)^7
=3*1.05+3*1.01*(1+5%)^2+3*(1+1%)^2*(1+5%)^3+3*(1+1%)^3*(1+5%)^4+3*(1+1%)^4*(1+5%)^5+3*(1+1%)^5*(1+5%)^6+3*(1+1%)^6*(1+5%)^7
=3*1.05+3*1.01*1.05^2+3*(1+1%)^2*(1+5%)^3+3*(1+1%)^3*(1+5%)^4+3*(1+1%)^4*(1+5%)^5+3*(1+1%)^5*(1+5%)^6+3*(1+1%)^6*(1+5%)^7
=3*1.05+3*1.01*1.05^2+3*1.01^2*(1+5%)^3+3*(1+1%)^3*(1+5%)^4+3*(1+1%)^4*(1+5%)^5+3*(1+1%)^5*(1+5%)^6+3*(1+1%)^6*(1+5%)^7
=3*1.05+3*1.01*1.05^2+3*1.01^2*1.05^3+3*(1+1%)^3*(1+5%)^4+3*(1+1%)^4*(1+5%)^5+3*(1+1%)^5*(1+5%)^6+3*(1+1%)^6*(1+5%)^7
=3*1.05+3*1.01*1.05^2+3*1.01^2*1.05^3+3*1.01^3*(1+5%)^4+3*(1+1%)^4*(1+5%)^5+3*(1+1%)^5*(1+5%)^6+3*(1+1%)^6*(1+5%)^7
=3*1.05+3*1.01*1.05^2+3*1.01^2*1.05^3+3*1.01^3*1.05^4+3*(1+1%)^4*(1+5%)^5+3*(1+1%)^5*(1+5%)^6+3*(1+1%)^6*(1+5%)^7
=3*1.05+3*1.01*1.05^2+3*1.01^2*1.05^3+3*1.01^3*1.05^4+3*1.01^4*(1+5%)^5+3*(1+1%)^5*(1+5%)^6+3*(1+1%)^6*(1+5%)^7
=3*1.05+3*1.01*1.05^2+3*1.01^2*1.05^3+3*1.01^3*1.05^4+3*1.01^4*1.05^5+3*(1+1%)^5*(1+5%)^6+3*(1+1%)^6*(1+5%)^7
=3*1.05+3*1.01*1.05^2+3*1.01^2*1.05^3+3*1.01^3*1.05^4+3*1.01^4*1.05^5+3*1.01^5*(1+5%)^6+3*(1+1%)^6*(1+5%)^7
=3*1.05+3*1.01*1.05^2+3*1.01^2*1.05^3+3*1.01^3*1.05^4+3*1.01^4*1.05^5+3*1.01^5*1.05^6+3*(1+1%)^6*(1+5%)^7
=3*1.05+3*1.01*1.05^2+3*1.01^2*1.05^3+3*1.01^3*1.05^4+3*1.01^4*1.05^5+3*1.01^5*1.05^6+3*1.01^6*(1+5%)^7
=3*1.05+3*1.01*1.05^2+3*1.01^2*1.05^3+3*1.01^3*1.05^4+3*1.01^4*1.05^5+3*1.01^5*1.05^6+3*1.01^6*1.05^7
=3*1.05+3*1.01*1.1025+3*1.01^2*1.05^3+3*1.01^3*1.05^4+3*1.01^4*1.05^5+3*1.01^5*1.05^6+3*1.01^6*1.05^7
=3*1.05+3*1.01*1.1025+3*1.0201*1.05^3+3*1.01^3*1.05^4+3*1.01^4*1.05^5+3*1.01^5*1.05^6+3*1.01^6*1.05^7
=3*1.05+3*1.01*1.1025+3*1.0201*1.157625+3*1.01^3*1.05^4+3*1.01^4*1.05^5+3*1.01^5*1.05^6+3*1.01^6*1.05^7
=3*1.05+3*1.01*1.1025+3*1.0201*1.157625+3*1.030301*1.05^4+3*1.01^4*1.05^5+3*1.01^5*1.05^6+3*1.01^6*1.05^7
=3*1.05+3*1.01*1.1025+3*1.0201*1.157625+3*1.030301*1.21550625+3*1.01^4*1.05^5+3*1.01^5*1.05^6+3*1.01^6*1.05^7
=3*1.05+3*1.01*1.1025+3*1.0201*1.157625+3*1.030301*1.21550625+3*1.04060401*1.05^5+3*1.01^5*1.05^6+3*1.01^6*1.05^7
=3*1.05+3*1.01*1.1025+3*1.0201*1.157625+3*1.030301*1.21550625+3*1.04060401*1.2762815625+3*1.01^5*1.05^6+3*1.01^6*1.05^7
=3*1.05+3*1.01*1.1025+3*1.0201*1.157625+3*1.030301*1.21550625+3*1.04060401*1.2762815625+3*1.0510100501*1.05^6+3*1.01^6*1.05^7
=3*1.05+3*1.01*1.1025+3*1.0201*1.157625+3*1.030301*1.21550625+3*1.04060401*1.2762815625+3*1.0510100501*1.340095640625+3*1.01^6*1.05^7
=3*1.05+3*1.01*1.1025+3*1.0201*1.157625+3*1.030301*1.21550625+3*1.04060401*1.2762815625+3*1.0510100501*1.340095640625+3*1.061520150601*1.05^7
=3*1.05+3*1.01*1.1025+3*1.0201*1.157625+3*1.030301*1.21550625+3*1.04060401*1.2762815625+3*1.0510100501*1.340095640625+3*1.061520150601*1.40710042265625
=3.15+3*1.01*1.1025+3*1.0201*1.157625+3*1.030301*1.21550625+3*1.04060401*1.2762815625+3*1.0510100501*1.340095640625+3*1.061520150601*1.40710042265625
=3.15+3.03*1.1025+3*1.0201*1.157625+3*1.030301*1.21550625+3*1.04060401*1.2762815625+3*1.0510100501*1.340095640625+3*1.061520150601*1.40710042265625
=3.15+3.340575+3*1.0201*1.157625+3*1.030301*1.21550625+3*1.04060401*1.2762815625+3*1.0510100501*1.340095640625+3*1.061520150601*1.40710042265625
=3.15+3.340575+3.0603*1.157625+3*1.030301*1.21550625+3*1.04060401*1.2762815625+3*1.0510100501*1.340095640625+3*1.061520150601*1.40710042265625
=3.15+3.340575+3.54268+3*1.030301*1.21550625+3*1.04060401*1.2762815625+3*1.0510100501*1.340095640625+3*1.061520150601*1.40710042265625
=3.15+3.340575+3.54268+3.090903*1.21550625+3*1.04060401*1.2762815625+3*1.0510100501*1.340095640625+3*1.061520150601*1.40710042265625
=3.15+3.340575+3.54268+3.757012+3*1.04060401*1.2762815625+3*1.0510100501*1.340095640625+3*1.061520150601*1.40710042265625
=3.15+3.340575+3.54268+3.757012+3.121812*1.2762815625+3*1.0510100501*1.340095640625+3*1.061520150601*1.40710042265625
=3.15+3.340575+3.54268+3.757012+3.984311+3*1.0510100501*1.340095640625+3*1.061520150601*1.40710042265625
=3.15+3.340575+3.54268+3.757012+3.984311+3.15303*1.340095640625+3*1.061520150601*1.40710042265625
=3.15+3.340575+3.54268+3.757012+3.984311+4.225362+3*1.061520150601*1.40710042265625
=3.15+3.340575+3.54268+3.757012+3.984311+4.225362+3.18456*1.40710042265625
=3.15+3.340575+3.54268+3.757012+3.984311+4.225362+4.480996
=6.490575+3.54268+3.757012+3.984311+4.225362+4.480996
=10.033255+3.757012+3.984311+4.225362+4.480996
=13.790267+3.984311+4.225362+4.480996
=17.774578+4.225362+4.480996
=21.99994+4.480996
=26.480936
Answer:3*(1+5%)+3*(1+1%)*(1+5%)^2+3*(1+1%)^2*(1+5%)^3+3*(1+1%)^3*(1+5%)^4+3*(1+1%)^4*(1+5%)^5+3*(1+1%)^5*(1+5%)^6+3*(1+1%)^6*(1+5%)^7=26.480936
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 3*(1+5%)+3*(1+1%)*(1+5%)^2+3*(1+1%)^2*(1+5%)^3+3*(1+1%)^3*(1+5%)^4+3*(1+1%)^4*(1+5%)^5+3*(1+1%)^5*(1+5%)^6+3*(1+1%)^6*(1+5%)^7 .
Question type: Mathematical calculation
Solution:
3*(1+5%)+3*(1+1%)*(1+5%)^2+3*(1+1%)^2*(1+5%)^3+3*(1+1%)^3*(1+5%)^4+3*(1+1%)^4*(1+5%)^5+3*(1+1%)^5*(1+5%)^6+3*(1+1%)^6*(1+5%)^7
=3*1.05+3*(1+1%)*(1+5%)^2+3*(1+1%)^2*(1+5%)^3+3*(1+1%)^3*(1+5%)^4+3*(1+1%)^4*(1+5%)^5+3*(1+1%)^5*(1+5%)^6+3*(1+1%)^6*(1+5%)^7
=3*1.05+3*1.01*(1+5%)^2+3*(1+1%)^2*(1+5%)^3+3*(1+1%)^3*(1+5%)^4+3*(1+1%)^4*(1+5%)^5+3*(1+1%)^5*(1+5%)^6+3*(1+1%)^6*(1+5%)^7
=3*1.05+3*1.01*1.05^2+3*(1+1%)^2*(1+5%)^3+3*(1+1%)^3*(1+5%)^4+3*(1+1%)^4*(1+5%)^5+3*(1+1%)^5*(1+5%)^6+3*(1+1%)^6*(1+5%)^7
=3*1.05+3*1.01*1.05^2+3*1.01^2*(1+5%)^3+3*(1+1%)^3*(1+5%)^4+3*(1+1%)^4*(1+5%)^5+3*(1+1%)^5*(1+5%)^6+3*(1+1%)^6*(1+5%)^7
=3*1.05+3*1.01*1.05^2+3*1.01^2*1.05^3+3*(1+1%)^3*(1+5%)^4+3*(1+1%)^4*(1+5%)^5+3*(1+1%)^5*(1+5%)^6+3*(1+1%)^6*(1+5%)^7
=3*1.05+3*1.01*1.05^2+3*1.01^2*1.05^3+3*1.01^3*(1+5%)^4+3*(1+1%)^4*(1+5%)^5+3*(1+1%)^5*(1+5%)^6+3*(1+1%)^6*(1+5%)^7
=3*1.05+3*1.01*1.05^2+3*1.01^2*1.05^3+3*1.01^3*1.05^4+3*(1+1%)^4*(1+5%)^5+3*(1+1%)^5*(1+5%)^6+3*(1+1%)^6*(1+5%)^7
=3*1.05+3*1.01*1.05^2+3*1.01^2*1.05^3+3*1.01^3*1.05^4+3*1.01^4*(1+5%)^5+3*(1+1%)^5*(1+5%)^6+3*(1+1%)^6*(1+5%)^7
=3*1.05+3*1.01*1.05^2+3*1.01^2*1.05^3+3*1.01^3*1.05^4+3*1.01^4*1.05^5+3*(1+1%)^5*(1+5%)^6+3*(1+1%)^6*(1+5%)^7
=3*1.05+3*1.01*1.05^2+3*1.01^2*1.05^3+3*1.01^3*1.05^4+3*1.01^4*1.05^5+3*1.01^5*(1+5%)^6+3*(1+1%)^6*(1+5%)^7
=3*1.05+3*1.01*1.05^2+3*1.01^2*1.05^3+3*1.01^3*1.05^4+3*1.01^4*1.05^5+3*1.01^5*1.05^6+3*(1+1%)^6*(1+5%)^7
=3*1.05+3*1.01*1.05^2+3*1.01^2*1.05^3+3*1.01^3*1.05^4+3*1.01^4*1.05^5+3*1.01^5*1.05^6+3*1.01^6*(1+5%)^7
=3*1.05+3*1.01*1.05^2+3*1.01^2*1.05^3+3*1.01^3*1.05^4+3*1.01^4*1.05^5+3*1.01^5*1.05^6+3*1.01^6*1.05^7
=3*1.05+3*1.01*1.1025+3*1.01^2*1.05^3+3*1.01^3*1.05^4+3*1.01^4*1.05^5+3*1.01^5*1.05^6+3*1.01^6*1.05^7
=3*1.05+3*1.01*1.1025+3*1.0201*1.05^3+3*1.01^3*1.05^4+3*1.01^4*1.05^5+3*1.01^5*1.05^6+3*1.01^6*1.05^7
=3*1.05+3*1.01*1.1025+3*1.0201*1.157625+3*1.01^3*1.05^4+3*1.01^4*1.05^5+3*1.01^5*1.05^6+3*1.01^6*1.05^7
=3*1.05+3*1.01*1.1025+3*1.0201*1.157625+3*1.030301*1.05^4+3*1.01^4*1.05^5+3*1.01^5*1.05^6+3*1.01^6*1.05^7
=3*1.05+3*1.01*1.1025+3*1.0201*1.157625+3*1.030301*1.21550625+3*1.01^4*1.05^5+3*1.01^5*1.05^6+3*1.01^6*1.05^7
=3*1.05+3*1.01*1.1025+3*1.0201*1.157625+3*1.030301*1.21550625+3*1.04060401*1.05^5+3*1.01^5*1.05^6+3*1.01^6*1.05^7
=3*1.05+3*1.01*1.1025+3*1.0201*1.157625+3*1.030301*1.21550625+3*1.04060401*1.2762815625+3*1.01^5*1.05^6+3*1.01^6*1.05^7
=3*1.05+3*1.01*1.1025+3*1.0201*1.157625+3*1.030301*1.21550625+3*1.04060401*1.2762815625+3*1.0510100501*1.05^6+3*1.01^6*1.05^7
=3*1.05+3*1.01*1.1025+3*1.0201*1.157625+3*1.030301*1.21550625+3*1.04060401*1.2762815625+3*1.0510100501*1.340095640625+3*1.01^6*1.05^7
=3*1.05+3*1.01*1.1025+3*1.0201*1.157625+3*1.030301*1.21550625+3*1.04060401*1.2762815625+3*1.0510100501*1.340095640625+3*1.061520150601*1.05^7
=3*1.05+3*1.01*1.1025+3*1.0201*1.157625+3*1.030301*1.21550625+3*1.04060401*1.2762815625+3*1.0510100501*1.340095640625+3*1.061520150601*1.40710042265625
=3.15+3*1.01*1.1025+3*1.0201*1.157625+3*1.030301*1.21550625+3*1.04060401*1.2762815625+3*1.0510100501*1.340095640625+3*1.061520150601*1.40710042265625
=3.15+3.03*1.1025+3*1.0201*1.157625+3*1.030301*1.21550625+3*1.04060401*1.2762815625+3*1.0510100501*1.340095640625+3*1.061520150601*1.40710042265625
=3.15+3.340575+3*1.0201*1.157625+3*1.030301*1.21550625+3*1.04060401*1.2762815625+3*1.0510100501*1.340095640625+3*1.061520150601*1.40710042265625
=3.15+3.340575+3.0603*1.157625+3*1.030301*1.21550625+3*1.04060401*1.2762815625+3*1.0510100501*1.340095640625+3*1.061520150601*1.40710042265625
=3.15+3.340575+3.54268+3*1.030301*1.21550625+3*1.04060401*1.2762815625+3*1.0510100501*1.340095640625+3*1.061520150601*1.40710042265625
=3.15+3.340575+3.54268+3.090903*1.21550625+3*1.04060401*1.2762815625+3*1.0510100501*1.340095640625+3*1.061520150601*1.40710042265625
=3.15+3.340575+3.54268+3.757012+3*1.04060401*1.2762815625+3*1.0510100501*1.340095640625+3*1.061520150601*1.40710042265625
=3.15+3.340575+3.54268+3.757012+3.121812*1.2762815625+3*1.0510100501*1.340095640625+3*1.061520150601*1.40710042265625
=3.15+3.340575+3.54268+3.757012+3.984311+3*1.0510100501*1.340095640625+3*1.061520150601*1.40710042265625
=3.15+3.340575+3.54268+3.757012+3.984311+3.15303*1.340095640625+3*1.061520150601*1.40710042265625
=3.15+3.340575+3.54268+3.757012+3.984311+4.225362+3*1.061520150601*1.40710042265625
=3.15+3.340575+3.54268+3.757012+3.984311+4.225362+3.18456*1.40710042265625
=3.15+3.340575+3.54268+3.757012+3.984311+4.225362+4.480996
=6.490575+3.54268+3.757012+3.984311+4.225362+4.480996
=10.033255+3.757012+3.984311+4.225362+4.480996
=13.790267+3.984311+4.225362+4.480996
=17.774578+4.225362+4.480996
=21.99994+4.480996
=26.480936
Answer:3*(1+5%)+3*(1+1%)*(1+5%)^2+3*(1+1%)^2*(1+5%)^3+3*(1+1%)^3*(1+5%)^4+3*(1+1%)^4*(1+5%)^5+3*(1+1%)^5*(1+5%)^6+3*(1+1%)^6*(1+5%)^7=26.480936