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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+(1.15^1)+(1.15^2)+(1.15^3)+(1.15^4)+(1.15^5)+(1.15^6)+(1.15^7)+(1.15^8)+(1.15^9)+(1.15^10)+(1.15^11)+(1.15^12)+(1.15^13) .
Question type: Mathematical calculation
Solution:
1+(1.15^1)+(1.15^2)+(1.15^3)+(1.15^4)+(1.15^5)+(1.15^6)+(1.15^7)+(1.15^8)+(1.15^9)+(1.15^10)+(1.15^11)+(1.15^12)+(1.15^13)
=1+1.15+(1.15^2)+(1.15^3)+(1.15^4)+(1.15^5)+(1.15^6)+(1.15^7)+(1.15^8)+(1.15^9)+(1.15^10)+(1.15^11)+(1.15^12)+(1.15^13)
=1+1.15+1.3225+(1.15^3)+(1.15^4)+(1.15^5)+(1.15^6)+(1.15^7)+(1.15^8)+(1.15^9)+(1.15^10)+(1.15^11)+(1.15^12)+(1.15^13)
=1+1.15+1.3225+1.520875+(1.15^4)+(1.15^5)+(1.15^6)+(1.15^7)+(1.15^8)+(1.15^9)+(1.15^10)+(1.15^11)+(1.15^12)+(1.15^13)
=1+1.15+1.3225+1.520875+1.749006249999999+(1.15^5)+(1.15^6)+(1.15^7)+(1.15^8)+(1.15^9)+(1.15^10)+(1.15^11)+(1.15^12)+(1.15^13)
=1+1.15+1.3225+1.520875+1.749006249999999+2.011357187499999+(1.15^6)+(1.15^7)+(1.15^8)+(1.15^9)+(1.15^10)+(1.15^11)+(1.15^12)+(1.15^13)
=1+1.15+1.3225+1.520875+1.749006249999999+2.011357187499999+2.313060765624999+(1.15^7)+(1.15^8)+(1.15^9)+(1.15^10)+(1.15^11)+(1.15^12)+(1.15^13)
=1+1.15+1.3225+1.520875+1.749006249999999+2.011357187499999+2.313060765624999+2.660019880468749+(1.15^8)+(1.15^9)+(1.15^10)+(1.15^11)+(1.15^12)+(1.15^13)
=1+1.15+1.3225+1.520875+1.749006249999999+2.011357187499999+2.313060765624999+2.660019880468749+3.059022862539061+(1.15^9)+(1.15^10)+(1.15^11)+(1.15^12)+(1.15^13)
=1+1.15+1.3225+1.520875+1.749006249999999+2.011357187499999+2.313060765624999+2.660019880468749+3.059022862539061+3.51787629191992+(1.15^10)+(1.15^11)+(1.15^12)+(1.15^13)
=1+1.15+1.3225+1.520875+1.749006249999999+2.011357187499999+2.313060765624999+2.660019880468749+3.059022862539061+3.51787629191992+4.045557735707907+(1.15^11)+(1.15^12)+(1.15^13)
=1+1.15+1.3225+1.520875+1.749006249999999+2.011357187499999+2.313060765624999+2.660019880468749+3.059022862539061+3.51787629191992+4.045557735707907+4.652391396064092+(1.15^12)+(1.15^13)
=1+1.15+1.3225+1.520875+1.749006249999999+2.011357187499999+2.313060765624999+2.660019880468749+3.059022862539061+3.51787629191992+4.045557735707907+4.652391396064092+5.350250105473706+(1.15^13)
=1+1.15+1.3225+1.520875+1.749006249999999+2.011357187499999+2.313060765624999+2.660019880468749+3.059022862539061+3.51787629191992+4.045557735707907+4.652391396064092+5.350250105473706+6.152787621294761
=2.15+1.3225+1.520875+1.749006249999999+2.011357187499999+2.313060765624999+2.660019880468749+3.059022862539061+3.51787629191992+4.045557735707907+4.652391396064092+5.350250105473706+6.152787621294761
=3.4725+1.520875+1.749006249999999+2.011357187499999+2.313060765624999+2.660019880468749+3.059022862539061+3.51787629191992+4.045557735707907+4.652391396064092+5.350250105473706+6.152787621294761
=4.993375+1.749006249999999+2.011357187499999+2.313060765624999+2.660019880468749+3.059022862539061+3.51787629191992+4.045557735707907+4.652391396064092+5.350250105473706+6.152787621294761
=6.742381+2.011357187499999+2.313060765624999+2.660019880468749+3.059022862539061+3.51787629191992+4.045557735707907+4.652391396064092+5.350250105473706+6.152787621294761
=8.753738+2.313060765624999+2.660019880468749+3.059022862539061+3.51787629191992+4.045557735707907+4.652391396064092+5.350250105473706+6.152787621294761
=11.066799+2.660019880468749+3.059022862539061+3.51787629191992+4.045557735707907+4.652391396064092+5.350250105473706+6.152787621294761
=13.726819+3.059022862539061+3.51787629191992+4.045557735707907+4.652391396064092+5.350250105473706+6.152787621294761
=16.785842+3.51787629191992+4.045557735707907+4.652391396064092+5.350250105473706+6.152787621294761
=20.303718+4.045557735707907+4.652391396064092+5.350250105473706+6.152787621294761
=24.349276+4.652391396064092+5.350250105473706+6.152787621294761
=29.001667+5.350250105473706+6.152787621294761
=34.351917+6.152787621294761
=40.504705
Answer:1+(1.15^1)+(1.15^2)+(1.15^3)+(1.15^4)+(1.15^5)+(1.15^6)+(1.15^7)+(1.15^8)+(1.15^9)+(1.15^10)+(1.15^11)+(1.15^12)+(1.15^13)=40.504705
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 1+(1.15^1)+(1.15^2)+(1.15^3)+(1.15^4)+(1.15^5)+(1.15^6)+(1.15^7)+(1.15^8)+(1.15^9)+(1.15^10)+(1.15^11)+(1.15^12)+(1.15^13) .
Question type: Mathematical calculation
Solution:
1+(1.15^1)+(1.15^2)+(1.15^3)+(1.15^4)+(1.15^5)+(1.15^6)+(1.15^7)+(1.15^8)+(1.15^9)+(1.15^10)+(1.15^11)+(1.15^12)+(1.15^13)
=1+1.15+(1.15^2)+(1.15^3)+(1.15^4)+(1.15^5)+(1.15^6)+(1.15^7)+(1.15^8)+(1.15^9)+(1.15^10)+(1.15^11)+(1.15^12)+(1.15^13)
=1+1.15+1.3225+(1.15^3)+(1.15^4)+(1.15^5)+(1.15^6)+(1.15^7)+(1.15^8)+(1.15^9)+(1.15^10)+(1.15^11)+(1.15^12)+(1.15^13)
=1+1.15+1.3225+1.520875+(1.15^4)+(1.15^5)+(1.15^6)+(1.15^7)+(1.15^8)+(1.15^9)+(1.15^10)+(1.15^11)+(1.15^12)+(1.15^13)
=1+1.15+1.3225+1.520875+1.749006249999999+(1.15^5)+(1.15^6)+(1.15^7)+(1.15^8)+(1.15^9)+(1.15^10)+(1.15^11)+(1.15^12)+(1.15^13)
=1+1.15+1.3225+1.520875+1.749006249999999+2.011357187499999+(1.15^6)+(1.15^7)+(1.15^8)+(1.15^9)+(1.15^10)+(1.15^11)+(1.15^12)+(1.15^13)
=1+1.15+1.3225+1.520875+1.749006249999999+2.011357187499999+2.313060765624999+(1.15^7)+(1.15^8)+(1.15^9)+(1.15^10)+(1.15^11)+(1.15^12)+(1.15^13)
=1+1.15+1.3225+1.520875+1.749006249999999+2.011357187499999+2.313060765624999+2.660019880468749+(1.15^8)+(1.15^9)+(1.15^10)+(1.15^11)+(1.15^12)+(1.15^13)
=1+1.15+1.3225+1.520875+1.749006249999999+2.011357187499999+2.313060765624999+2.660019880468749+3.059022862539061+(1.15^9)+(1.15^10)+(1.15^11)+(1.15^12)+(1.15^13)
=1+1.15+1.3225+1.520875+1.749006249999999+2.011357187499999+2.313060765624999+2.660019880468749+3.059022862539061+3.51787629191992+(1.15^10)+(1.15^11)+(1.15^12)+(1.15^13)
=1+1.15+1.3225+1.520875+1.749006249999999+2.011357187499999+2.313060765624999+2.660019880468749+3.059022862539061+3.51787629191992+4.045557735707907+(1.15^11)+(1.15^12)+(1.15^13)
=1+1.15+1.3225+1.520875+1.749006249999999+2.011357187499999+2.313060765624999+2.660019880468749+3.059022862539061+3.51787629191992+4.045557735707907+4.652391396064092+(1.15^12)+(1.15^13)
=1+1.15+1.3225+1.520875+1.749006249999999+2.011357187499999+2.313060765624999+2.660019880468749+3.059022862539061+3.51787629191992+4.045557735707907+4.652391396064092+5.350250105473706+(1.15^13)
=1+1.15+1.3225+1.520875+1.749006249999999+2.011357187499999+2.313060765624999+2.660019880468749+3.059022862539061+3.51787629191992+4.045557735707907+4.652391396064092+5.350250105473706+6.152787621294761
=2.15+1.3225+1.520875+1.749006249999999+2.011357187499999+2.313060765624999+2.660019880468749+3.059022862539061+3.51787629191992+4.045557735707907+4.652391396064092+5.350250105473706+6.152787621294761
=3.4725+1.520875+1.749006249999999+2.011357187499999+2.313060765624999+2.660019880468749+3.059022862539061+3.51787629191992+4.045557735707907+4.652391396064092+5.350250105473706+6.152787621294761
=4.993375+1.749006249999999+2.011357187499999+2.313060765624999+2.660019880468749+3.059022862539061+3.51787629191992+4.045557735707907+4.652391396064092+5.350250105473706+6.152787621294761
=6.742381+2.011357187499999+2.313060765624999+2.660019880468749+3.059022862539061+3.51787629191992+4.045557735707907+4.652391396064092+5.350250105473706+6.152787621294761
=8.753738+2.313060765624999+2.660019880468749+3.059022862539061+3.51787629191992+4.045557735707907+4.652391396064092+5.350250105473706+6.152787621294761
=11.066799+2.660019880468749+3.059022862539061+3.51787629191992+4.045557735707907+4.652391396064092+5.350250105473706+6.152787621294761
=13.726819+3.059022862539061+3.51787629191992+4.045557735707907+4.652391396064092+5.350250105473706+6.152787621294761
=16.785842+3.51787629191992+4.045557735707907+4.652391396064092+5.350250105473706+6.152787621294761
=20.303718+4.045557735707907+4.652391396064092+5.350250105473706+6.152787621294761
=24.349276+4.652391396064092+5.350250105473706+6.152787621294761
=29.001667+5.350250105473706+6.152787621294761
=34.351917+6.152787621294761
=40.504705
Answer:1+(1.15^1)+(1.15^2)+(1.15^3)+(1.15^4)+(1.15^5)+(1.15^6)+(1.15^7)+(1.15^8)+(1.15^9)+(1.15^10)+(1.15^11)+(1.15^12)+(1.15^13)=40.504705