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Enter the mathematical formula directly and click the "Next" button to get the calculation answer.
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 1/1.05^43+1/1.05^44+1/1.05^45+1/1.05^46+1/1.05^47+1/1.05^48+1/1.05^49 .
Question type: Mathematical calculation
Solution:
1/1.05^43+1/1.05^44+1/1.05^45+1/1.05^46+1/1.05^47+1/1.05^48+1/1.05^49
=1/8.149666932873309+1/1.05^44+1/1.05^45+1/1.05^46+1/1.05^47+1/1.05^48+1/1.05^49
=1/8.149666932873309+1/8.557150279516975+1/1.05^45+1/1.05^46+1/1.05^47+1/1.05^48+1/1.05^49
=1/8.149666932873309+1/8.557150279516975+1/8.985007793492823+1/1.05^46+1/1.05^47+1/1.05^48+1/1.05^49
=1/8.149666932873309+1/8.557150279516975+1/8.985007793492823+1/9.434258183167465+1/1.05^47+1/1.05^48+1/1.05^49
=1/8.149666932873309+1/8.557150279516975+1/8.985007793492823+1/9.434258183167465+1/9.905971092325839+1/1.05^48+1/1.05^49
=1/8.149666932873309+1/8.557150279516975+1/8.985007793492823+1/9.434258183167465+1/9.905971092325839+1/10.401269646942131+1/1.05^49
=1/8.149666932873309+1/8.557150279516975+1/8.985007793492823+1/9.434258183167465+1/9.905971092325839+1/10.401269646942131+1/10.921333129289238
=0.122704+1/8.557150279516975+1/8.985007793492823+1/9.434258183167465+1/9.905971092325839+1/10.401269646942131+1/10.921333129289238
=0.122704+0.116861+1/8.985007793492823+1/9.434258183167465+1/9.905971092325839+1/10.401269646942131+1/10.921333129289238
=0.122704+0.116861+0.111297+1/9.434258183167465+1/9.905971092325839+1/10.401269646942131+1/10.921333129289238
=0.122704+0.116861+0.111297+0.105997+1/9.905971092325839+1/10.401269646942131+1/10.921333129289238
=0.122704+0.116861+0.111297+0.105997+0.100949+1/10.401269646942131+1/10.921333129289238
=0.122704+0.116861+0.111297+0.105997+0.100949+0.096142+1/10.921333129289238
=0.122704+0.116861+0.111297+0.105997+0.100949+0.096142+0.091564
=0.239565+0.111297+0.105997+0.100949+0.096142+0.091564
=0.350862+0.105997+0.100949+0.096142+0.091564
=0.456859+0.100949+0.096142+0.091564
=0.557808+0.096142+0.091564
=0.65395+0.091564
=0.745514
Answer:1/1.05^43+1/1.05^44+1/1.05^45+1/1.05^46+1/1.05^47+1/1.05^48+1/1.05^49=0.745514
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 1/1.05^43+1/1.05^44+1/1.05^45+1/1.05^46+1/1.05^47+1/1.05^48+1/1.05^49 .
Question type: Mathematical calculation
Solution:
1/1.05^43+1/1.05^44+1/1.05^45+1/1.05^46+1/1.05^47+1/1.05^48+1/1.05^49
=1/8.149666932873309+1/1.05^44+1/1.05^45+1/1.05^46+1/1.05^47+1/1.05^48+1/1.05^49
=1/8.149666932873309+1/8.557150279516975+1/1.05^45+1/1.05^46+1/1.05^47+1/1.05^48+1/1.05^49
=1/8.149666932873309+1/8.557150279516975+1/8.985007793492823+1/1.05^46+1/1.05^47+1/1.05^48+1/1.05^49
=1/8.149666932873309+1/8.557150279516975+1/8.985007793492823+1/9.434258183167465+1/1.05^47+1/1.05^48+1/1.05^49
=1/8.149666932873309+1/8.557150279516975+1/8.985007793492823+1/9.434258183167465+1/9.905971092325839+1/1.05^48+1/1.05^49
=1/8.149666932873309+1/8.557150279516975+1/8.985007793492823+1/9.434258183167465+1/9.905971092325839+1/10.401269646942131+1/1.05^49
=1/8.149666932873309+1/8.557150279516975+1/8.985007793492823+1/9.434258183167465+1/9.905971092325839+1/10.401269646942131+1/10.921333129289238
=0.122704+1/8.557150279516975+1/8.985007793492823+1/9.434258183167465+1/9.905971092325839+1/10.401269646942131+1/10.921333129289238
=0.122704+0.116861+1/8.985007793492823+1/9.434258183167465+1/9.905971092325839+1/10.401269646942131+1/10.921333129289238
=0.122704+0.116861+0.111297+1/9.434258183167465+1/9.905971092325839+1/10.401269646942131+1/10.921333129289238
=0.122704+0.116861+0.111297+0.105997+1/9.905971092325839+1/10.401269646942131+1/10.921333129289238
=0.122704+0.116861+0.111297+0.105997+0.100949+1/10.401269646942131+1/10.921333129289238
=0.122704+0.116861+0.111297+0.105997+0.100949+0.096142+1/10.921333129289238
=0.122704+0.116861+0.111297+0.105997+0.100949+0.096142+0.091564
=0.239565+0.111297+0.105997+0.100949+0.096142+0.091564
=0.350862+0.105997+0.100949+0.096142+0.091564
=0.456859+0.100949+0.096142+0.091564
=0.557808+0.096142+0.091564
=0.65395+0.091564
=0.745514
Answer:1/1.05^43+1/1.05^44+1/1.05^45+1/1.05^46+1/1.05^47+1/1.05^48+1/1.05^49=0.745514