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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 5/1.05^35+1/1.05^36+1/1.05^37+1/1.05^38+1/1.05^39+1/1.05^40+1/1.05^41+1/1.05^42 .
Question type: Mathematical calculation
Solution:
5/1.05^35+1/1.05^36+1/1.05^37+1/1.05^38+1/1.05^39+1/1.05^40+1/1.05^41+1/1.05^42
=5/5.516015367592257+1/1.05^36+1/1.05^37+1/1.05^38+1/1.05^39+1/1.05^40+1/1.05^41+1/1.05^42
=5/5.516015367592257+1/5.791816135971869+1/1.05^37+1/1.05^38+1/1.05^39+1/1.05^40+1/1.05^41+1/1.05^42
=5/5.516015367592257+1/5.791816135971869+1/6.081406942770463+1/1.05^38+1/1.05^39+1/1.05^40+1/1.05^41+1/1.05^42
=5/5.516015367592257+1/5.791816135971869+1/6.081406942770463+1/6.385477289908986+1/1.05^39+1/1.05^40+1/1.05^41+1/1.05^42
=5/5.516015367592257+1/5.791816135971869+1/6.081406942770463+1/6.385477289908986+1/6.704751154404436+1/1.05^40+1/1.05^41+1/1.05^42
=5/5.516015367592257+1/5.791816135971869+1/6.081406942770463+1/6.385477289908986+1/6.704751154404436+1/7.039988712124658+1/1.05^41+1/1.05^42
=5/5.516015367592257+1/5.791816135971869+1/6.081406942770463+1/6.385477289908986+1/6.704751154404436+1/7.039988712124658+1/7.391988147730891+1/1.05^42
=5/5.516015367592257+1/5.791816135971869+1/6.081406942770463+1/6.385477289908986+1/6.704751154404436+1/7.039988712124658+1/7.391988147730891+1/7.761587555117436
=0.906451+1/5.791816135971869+1/6.081406942770463+1/6.385477289908986+1/6.704751154404436+1/7.039988712124658+1/7.391988147730891+1/7.761587555117436
=0.906451+0.172657+1/6.081406942770463+1/6.385477289908986+1/6.704751154404436+1/7.039988712124658+1/7.391988147730891+1/7.761587555117436
=0.906451+0.172657+0.164436+1/6.385477289908986+1/6.704751154404436+1/7.039988712124658+1/7.391988147730891+1/7.761587555117436
=0.906451+0.172657+0.164436+0.156605+1/6.704751154404436+1/7.039988712124658+1/7.391988147730891+1/7.761587555117436
=0.906451+0.172657+0.164436+0.156605+0.149148+1/7.039988712124658+1/7.391988147730891+1/7.761587555117436
=0.906451+0.172657+0.164436+0.156605+0.149148+0.142046+1/7.391988147730891+1/7.761587555117436
=0.906451+0.172657+0.164436+0.156605+0.149148+0.142046+0.135282+1/7.761587555117436
=0.906451+0.172657+0.164436+0.156605+0.149148+0.142046+0.135282+0.12884
=1.079108+0.164436+0.156605+0.149148+0.142046+0.135282+0.12884
=1.243544+0.156605+0.149148+0.142046+0.135282+0.12884
=1.400149+0.149148+0.142046+0.135282+0.12884
=1.549297+0.142046+0.135282+0.12884
=1.691343+0.135282+0.12884
=1.826625+0.12884
=1.955465
Answer:5/1.05^35+1/1.05^36+1/1.05^37+1/1.05^38+1/1.05^39+1/1.05^40+1/1.05^41+1/1.05^42=1.955465
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 5/1.05^35+1/1.05^36+1/1.05^37+1/1.05^38+1/1.05^39+1/1.05^40+1/1.05^41+1/1.05^42 .
Question type: Mathematical calculation
Solution:
5/1.05^35+1/1.05^36+1/1.05^37+1/1.05^38+1/1.05^39+1/1.05^40+1/1.05^41+1/1.05^42
=5/5.516015367592257+1/1.05^36+1/1.05^37+1/1.05^38+1/1.05^39+1/1.05^40+1/1.05^41+1/1.05^42
=5/5.516015367592257+1/5.791816135971869+1/1.05^37+1/1.05^38+1/1.05^39+1/1.05^40+1/1.05^41+1/1.05^42
=5/5.516015367592257+1/5.791816135971869+1/6.081406942770463+1/1.05^38+1/1.05^39+1/1.05^40+1/1.05^41+1/1.05^42
=5/5.516015367592257+1/5.791816135971869+1/6.081406942770463+1/6.385477289908986+1/1.05^39+1/1.05^40+1/1.05^41+1/1.05^42
=5/5.516015367592257+1/5.791816135971869+1/6.081406942770463+1/6.385477289908986+1/6.704751154404436+1/1.05^40+1/1.05^41+1/1.05^42
=5/5.516015367592257+1/5.791816135971869+1/6.081406942770463+1/6.385477289908986+1/6.704751154404436+1/7.039988712124658+1/1.05^41+1/1.05^42
=5/5.516015367592257+1/5.791816135971869+1/6.081406942770463+1/6.385477289908986+1/6.704751154404436+1/7.039988712124658+1/7.391988147730891+1/1.05^42
=5/5.516015367592257+1/5.791816135971869+1/6.081406942770463+1/6.385477289908986+1/6.704751154404436+1/7.039988712124658+1/7.391988147730891+1/7.761587555117436
=0.906451+1/5.791816135971869+1/6.081406942770463+1/6.385477289908986+1/6.704751154404436+1/7.039988712124658+1/7.391988147730891+1/7.761587555117436
=0.906451+0.172657+1/6.081406942770463+1/6.385477289908986+1/6.704751154404436+1/7.039988712124658+1/7.391988147730891+1/7.761587555117436
=0.906451+0.172657+0.164436+1/6.385477289908986+1/6.704751154404436+1/7.039988712124658+1/7.391988147730891+1/7.761587555117436
=0.906451+0.172657+0.164436+0.156605+1/6.704751154404436+1/7.039988712124658+1/7.391988147730891+1/7.761587555117436
=0.906451+0.172657+0.164436+0.156605+0.149148+1/7.039988712124658+1/7.391988147730891+1/7.761587555117436
=0.906451+0.172657+0.164436+0.156605+0.149148+0.142046+1/7.391988147730891+1/7.761587555117436
=0.906451+0.172657+0.164436+0.156605+0.149148+0.142046+0.135282+1/7.761587555117436
=0.906451+0.172657+0.164436+0.156605+0.149148+0.142046+0.135282+0.12884
=1.079108+0.164436+0.156605+0.149148+0.142046+0.135282+0.12884
=1.243544+0.156605+0.149148+0.142046+0.135282+0.12884
=1.400149+0.149148+0.142046+0.135282+0.12884
=1.549297+0.142046+0.135282+0.12884
=1.691343+0.135282+0.12884
=1.826625+0.12884
=1.955465
Answer:5/1.05^35+1/1.05^36+1/1.05^37+1/1.05^38+1/1.05^39+1/1.05^40+1/1.05^41+1/1.05^42=1.955465