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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*5/(1+5%)+2*5/(1+5%)^2+3*5/(1+5%)^3+4*5/(1+5%)^4+5*5/(1+5%)^5 .
Question type: Mathematical calculation
Solution:
1*5/(1+5%)+2*5/(1+5%)^2+3*5/(1+5%)^3+4*5/(1+5%)^4+5*5/(1+5%)^5
=1*5/1.05+2*5/(1+5%)^2+3*5/(1+5%)^3+4*5/(1+5%)^4+5*5/(1+5%)^5
=1*5/1.05+2*5/1.05^2+3*5/(1+5%)^3+4*5/(1+5%)^4+5*5/(1+5%)^5
=1*5/1.05+2*5/1.05^2+3*5/1.05^3+4*5/(1+5%)^4+5*5/(1+5%)^5
=1*5/1.05+2*5/1.05^2+3*5/1.05^3+4*5/1.05^4+5*5/(1+5%)^5
=1*5/1.05+2*5/1.05^2+3*5/1.05^3+4*5/1.05^4+5*5/1.05^5
=1*5/1.05+2*5/1.1025+3*5/1.05^3+4*5/1.05^4+5*5/1.05^5
=1*5/1.05+2*5/1.1025+3*5/1.157625+4*5/1.05^4+5*5/1.05^5
=1*5/1.05+2*5/1.1025+3*5/1.157625+4*5/1.21550625+5*5/1.05^5
=1*5/1.05+2*5/1.1025+3*5/1.157625+4*5/1.21550625+5*5/1.2762815625
=5/1.05+2*5/1.1025+3*5/1.157625+4*5/1.21550625+5*5/1.2762815625
=4.761905+2*5/1.1025+3*5/1.157625+4*5/1.21550625+5*5/1.2762815625
=4.761905+10/1.1025+3*5/1.157625+4*5/1.21550625+5*5/1.2762815625
=4.761905+9.070295+3*5/1.157625+4*5/1.21550625+5*5/1.2762815625
=4.761905+9.070295+15/1.157625+4*5/1.21550625+5*5/1.2762815625
=4.761905+9.070295+12.957564+4*5/1.21550625+5*5/1.2762815625
=4.761905+9.070295+12.957564+20/1.21550625+5*5/1.2762815625
=4.761905+9.070295+12.957564+16.454049+5*5/1.2762815625
=4.761905+9.070295+12.957564+16.454049+25/1.2762815625
=4.761905+9.070295+12.957564+16.454049+19.588154
=13.8322+12.957564+16.454049+19.588154
=26.789764+16.454049+19.588154
=43.243813+19.588154
=62.831967
Answer:1*5/(1+5%)+2*5/(1+5%)^2+3*5/(1+5%)^3+4*5/(1+5%)^4+5*5/(1+5%)^5=62.831967