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It supports mathematical functions (including trigonometric functions).
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+1/1.15^3+1/1.15^4+1/1.15^5+1/1.15^6+1/1.15^7+1/1.15^8+1/1.15^9+1/1.15^10+1/1.15^11 .
Question type: Mathematical calculation
Solution:
1/1.15+1/1.15^2+1/1.15^3+1/1.15^4+1/1.15^5+1/1.15^6+1/1.15^7+1/1.15^8+1/1.15^9+1/1.15^10+1/1.15^11
=1/1.15+1/1.3225+1/1.15^3+1/1.15^4+1/1.15^5+1/1.15^6+1/1.15^7+1/1.15^8+1/1.15^9+1/1.15^10+1/1.15^11
=1/1.15+1/1.3225+1/1.520875+1/1.15^4+1/1.15^5+1/1.15^6+1/1.15^7+1/1.15^8+1/1.15^9+1/1.15^10+1/1.15^11
=1/1.15+1/1.3225+1/1.520875+1/1.749006249999999+1/1.15^5+1/1.15^6+1/1.15^7+1/1.15^8+1/1.15^9+1/1.15^10+1/1.15^11
=1/1.15+1/1.3225+1/1.520875+1/1.749006249999999+1/2.011357187499999+1/1.15^6+1/1.15^7+1/1.15^8+1/1.15^9+1/1.15^10+1/1.15^11
=1/1.15+1/1.3225+1/1.520875+1/1.749006249999999+1/2.011357187499999+1/2.313060765624999+1/1.15^7+1/1.15^8+1/1.15^9+1/1.15^10+1/1.15^11
=1/1.15+1/1.3225+1/1.520875+1/1.749006249999999+1/2.011357187499999+1/2.313060765624999+1/2.660019880468749+1/1.15^8+1/1.15^9+1/1.15^10+1/1.15^11
=1/1.15+1/1.3225+1/1.520875+1/1.749006249999999+1/2.011357187499999+1/2.313060765624999+1/2.660019880468749+1/3.059022862539061+1/1.15^9+1/1.15^10+1/1.15^11
=1/1.15+1/1.3225+1/1.520875+1/1.749006249999999+1/2.011357187499999+1/2.313060765624999+1/2.660019880468749+1/3.059022862539061+1/3.51787629191992+1/1.15^10+1/1.15^11
=1/1.15+1/1.3225+1/1.520875+1/1.749006249999999+1/2.011357187499999+1/2.313060765624999+1/2.660019880468749+1/3.059022862539061+1/3.51787629191992+1/4.045557735707907+1/1.15^11
=1/1.15+1/1.3225+1/1.520875+1/1.749006249999999+1/2.011357187499999+1/2.313060765624999+1/2.660019880468749+1/3.059022862539061+1/3.51787629191992+1/4.045557735707907+1/4.652391396064092
=0.869565+1/1.3225+1/1.520875+1/1.749006249999999+1/2.011357187499999+1/2.313060765624999+1/2.660019880468749+1/3.059022862539061+1/3.51787629191992+1/4.045557735707907+1/4.652391396064092
=0.869565+0.756144+1/1.520875+1/1.749006249999999+1/2.011357187499999+1/2.313060765624999+1/2.660019880468749+1/3.059022862539061+1/3.51787629191992+1/4.045557735707907+1/4.652391396064092
=0.869565+0.756144+0.657516+1/1.749006249999999+1/2.011357187499999+1/2.313060765624999+1/2.660019880468749+1/3.059022862539061+1/3.51787629191992+1/4.045557735707907+1/4.652391396064092
=0.869565+0.756144+0.657516+0.571753+1/2.011357187499999+1/2.313060765624999+1/2.660019880468749+1/3.059022862539061+1/3.51787629191992+1/4.045557735707907+1/4.652391396064092
=0.869565+0.756144+0.657516+0.571753+0.497177+1/2.313060765624999+1/2.660019880468749+1/3.059022862539061+1/3.51787629191992+1/4.045557735707907+1/4.652391396064092
=0.869565+0.756144+0.657516+0.571753+0.497177+0.432328+1/2.660019880468749+1/3.059022862539061+1/3.51787629191992+1/4.045557735707907+1/4.652391396064092
=0.869565+0.756144+0.657516+0.571753+0.497177+0.432328+0.375937+1/3.059022862539061+1/3.51787629191992+1/4.045557735707907+1/4.652391396064092
=0.869565+0.756144+0.657516+0.571753+0.497177+0.432328+0.375937+0.326902+1/3.51787629191992+1/4.045557735707907+1/4.652391396064092
=0.869565+0.756144+0.657516+0.571753+0.497177+0.432328+0.375937+0.326902+0.284262+1/4.045557735707907+1/4.652391396064092
=0.869565+0.756144+0.657516+0.571753+0.497177+0.432328+0.375937+0.326902+0.284262+0.247185+1/4.652391396064092
=0.869565+0.756144+0.657516+0.571753+0.497177+0.432328+0.375937+0.326902+0.284262+0.247185+0.214943
=1.625709+0.657516+0.571753+0.497177+0.432328+0.375937+0.326902+0.284262+0.247185+0.214943
=2.283225+0.571753+0.497177+0.432328+0.375937+0.326902+0.284262+0.247185+0.214943
=2.854978+0.497177+0.432328+0.375937+0.326902+0.284262+0.247185+0.214943
=3.352155+0.432328+0.375937+0.326902+0.284262+0.247185+0.214943
=3.784483+0.375937+0.326902+0.284262+0.247185+0.214943
=4.16042+0.326902+0.284262+0.247185+0.214943
=4.487322+0.284262+0.247185+0.214943
=4.771584+0.247185+0.214943
=5.018769+0.214943
=5.233712
Answer:1/1.15+1/1.15^2+1/1.15^3+1/1.15^4+1/1.15^5+1/1.15^6+1/1.15^7+1/1.15^8+1/1.15^9+1/1.15^10+1/1.15^11=5.233712
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 1/1.15+1/1.15^2+1/1.15^3+1/1.15^4+1/1.15^5+1/1.15^6+1/1.15^7+1/1.15^8+1/1.15^9+1/1.15^10+1/1.15^11 .
Question type: Mathematical calculation
Solution:
1/1.15+1/1.15^2+1/1.15^3+1/1.15^4+1/1.15^5+1/1.15^6+1/1.15^7+1/1.15^8+1/1.15^9+1/1.15^10+1/1.15^11
=1/1.15+1/1.3225+1/1.15^3+1/1.15^4+1/1.15^5+1/1.15^6+1/1.15^7+1/1.15^8+1/1.15^9+1/1.15^10+1/1.15^11
=1/1.15+1/1.3225+1/1.520875+1/1.15^4+1/1.15^5+1/1.15^6+1/1.15^7+1/1.15^8+1/1.15^9+1/1.15^10+1/1.15^11
=1/1.15+1/1.3225+1/1.520875+1/1.749006249999999+1/1.15^5+1/1.15^6+1/1.15^7+1/1.15^8+1/1.15^9+1/1.15^10+1/1.15^11
=1/1.15+1/1.3225+1/1.520875+1/1.749006249999999+1/2.011357187499999+1/1.15^6+1/1.15^7+1/1.15^8+1/1.15^9+1/1.15^10+1/1.15^11
=1/1.15+1/1.3225+1/1.520875+1/1.749006249999999+1/2.011357187499999+1/2.313060765624999+1/1.15^7+1/1.15^8+1/1.15^9+1/1.15^10+1/1.15^11
=1/1.15+1/1.3225+1/1.520875+1/1.749006249999999+1/2.011357187499999+1/2.313060765624999+1/2.660019880468749+1/1.15^8+1/1.15^9+1/1.15^10+1/1.15^11
=1/1.15+1/1.3225+1/1.520875+1/1.749006249999999+1/2.011357187499999+1/2.313060765624999+1/2.660019880468749+1/3.059022862539061+1/1.15^9+1/1.15^10+1/1.15^11
=1/1.15+1/1.3225+1/1.520875+1/1.749006249999999+1/2.011357187499999+1/2.313060765624999+1/2.660019880468749+1/3.059022862539061+1/3.51787629191992+1/1.15^10+1/1.15^11
=1/1.15+1/1.3225+1/1.520875+1/1.749006249999999+1/2.011357187499999+1/2.313060765624999+1/2.660019880468749+1/3.059022862539061+1/3.51787629191992+1/4.045557735707907+1/1.15^11
=1/1.15+1/1.3225+1/1.520875+1/1.749006249999999+1/2.011357187499999+1/2.313060765624999+1/2.660019880468749+1/3.059022862539061+1/3.51787629191992+1/4.045557735707907+1/4.652391396064092
=0.869565+1/1.3225+1/1.520875+1/1.749006249999999+1/2.011357187499999+1/2.313060765624999+1/2.660019880468749+1/3.059022862539061+1/3.51787629191992+1/4.045557735707907+1/4.652391396064092
=0.869565+0.756144+1/1.520875+1/1.749006249999999+1/2.011357187499999+1/2.313060765624999+1/2.660019880468749+1/3.059022862539061+1/3.51787629191992+1/4.045557735707907+1/4.652391396064092
=0.869565+0.756144+0.657516+1/1.749006249999999+1/2.011357187499999+1/2.313060765624999+1/2.660019880468749+1/3.059022862539061+1/3.51787629191992+1/4.045557735707907+1/4.652391396064092
=0.869565+0.756144+0.657516+0.571753+1/2.011357187499999+1/2.313060765624999+1/2.660019880468749+1/3.059022862539061+1/3.51787629191992+1/4.045557735707907+1/4.652391396064092
=0.869565+0.756144+0.657516+0.571753+0.497177+1/2.313060765624999+1/2.660019880468749+1/3.059022862539061+1/3.51787629191992+1/4.045557735707907+1/4.652391396064092
=0.869565+0.756144+0.657516+0.571753+0.497177+0.432328+1/2.660019880468749+1/3.059022862539061+1/3.51787629191992+1/4.045557735707907+1/4.652391396064092
=0.869565+0.756144+0.657516+0.571753+0.497177+0.432328+0.375937+1/3.059022862539061+1/3.51787629191992+1/4.045557735707907+1/4.652391396064092
=0.869565+0.756144+0.657516+0.571753+0.497177+0.432328+0.375937+0.326902+1/3.51787629191992+1/4.045557735707907+1/4.652391396064092
=0.869565+0.756144+0.657516+0.571753+0.497177+0.432328+0.375937+0.326902+0.284262+1/4.045557735707907+1/4.652391396064092
=0.869565+0.756144+0.657516+0.571753+0.497177+0.432328+0.375937+0.326902+0.284262+0.247185+1/4.652391396064092
=0.869565+0.756144+0.657516+0.571753+0.497177+0.432328+0.375937+0.326902+0.284262+0.247185+0.214943
=1.625709+0.657516+0.571753+0.497177+0.432328+0.375937+0.326902+0.284262+0.247185+0.214943
=2.283225+0.571753+0.497177+0.432328+0.375937+0.326902+0.284262+0.247185+0.214943
=2.854978+0.497177+0.432328+0.375937+0.326902+0.284262+0.247185+0.214943
=3.352155+0.432328+0.375937+0.326902+0.284262+0.247185+0.214943
=3.784483+0.375937+0.326902+0.284262+0.247185+0.214943
=4.16042+0.326902+0.284262+0.247185+0.214943
=4.487322+0.284262+0.247185+0.214943
=4.771584+0.247185+0.214943
=5.018769+0.214943
=5.233712
Answer:1/1.15+1/1.15^2+1/1.15^3+1/1.15^4+1/1.15^5+1/1.15^6+1/1.15^7+1/1.15^8+1/1.15^9+1/1.15^10+1/1.15^11=5.233712