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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 1000/1.1^10+100/1.1+100/1.1^2+100/1.1^3+100/1.1^4+100/1.1^5+100/1.1^6+100/1.1^7+100/1.1^8+100/1.1^9+100/1.1^10 .
Question type: Mathematical calculation
Solution:
1000/1.1^10+100/1.1+100/1.1^2+100/1.1^3+100/1.1^4+100/1.1^5+100/1.1^6+100/1.1^7+100/1.1^8+100/1.1^9+100/1.1^10
=1000/2.593742460100002+100/1.1+100/1.1^2+100/1.1^3+100/1.1^4+100/1.1^5+100/1.1^6+100/1.1^7+100/1.1^8+100/1.1^9+100/1.1^10
=1000/2.593742460100002+100/1.1+100/1.21+100/1.1^3+100/1.1^4+100/1.1^5+100/1.1^6+100/1.1^7+100/1.1^8+100/1.1^9+100/1.1^10
=1000/2.593742460100002+100/1.1+100/1.21+100/1.331+100/1.1^4+100/1.1^5+100/1.1^6+100/1.1^7+100/1.1^8+100/1.1^9+100/1.1^10
=1000/2.593742460100002+100/1.1+100/1.21+100/1.331+100/1.4641+100/1.1^5+100/1.1^6+100/1.1^7+100/1.1^8+100/1.1^9+100/1.1^10
=1000/2.593742460100002+100/1.1+100/1.21+100/1.331+100/1.4641+100/1.610510000000001+100/1.1^6+100/1.1^7+100/1.1^8+100/1.1^9+100/1.1^10
=1000/2.593742460100002+100/1.1+100/1.21+100/1.331+100/1.4641+100/1.610510000000001+100/1.771561000000001+100/1.1^7+100/1.1^8+100/1.1^9+100/1.1^10
=1000/2.593742460100002+100/1.1+100/1.21+100/1.331+100/1.4641+100/1.610510000000001+100/1.771561000000001+100/1.948717100000001+100/1.1^8+100/1.1^9+100/1.1^10
=1000/2.593742460100002+100/1.1+100/1.21+100/1.331+100/1.4641+100/1.610510000000001+100/1.771561000000001+100/1.948717100000001+100/2.143588810000002+100/1.1^9+100/1.1^10
=1000/2.593742460100002+100/1.1+100/1.21+100/1.331+100/1.4641+100/1.610510000000001+100/1.771561000000001+100/1.948717100000001+100/2.143588810000002+100/2.357947691000002+100/1.1^10
=1000/2.593742460100002+100/1.1+100/1.21+100/1.331+100/1.4641+100/1.610510000000001+100/1.771561000000001+100/1.948717100000001+100/2.143588810000002+100/2.357947691000002+100/2.593742460100002
=385.543289+100/1.1+100/1.21+100/1.331+100/1.4641+100/1.610510000000001+100/1.771561000000001+100/1.948717100000001+100/2.143588810000002+100/2.357947691000002+100/2.593742460100002
=385.543289+90.909091+100/1.21+100/1.331+100/1.4641+100/1.610510000000001+100/1.771561000000001+100/1.948717100000001+100/2.143588810000002+100/2.357947691000002+100/2.593742460100002
=385.543289+90.909091+82.644628+100/1.331+100/1.4641+100/1.610510000000001+100/1.771561000000001+100/1.948717100000001+100/2.143588810000002+100/2.357947691000002+100/2.593742460100002
=385.543289+90.909091+82.644628+75.13148+100/1.4641+100/1.610510000000001+100/1.771561000000001+100/1.948717100000001+100/2.143588810000002+100/2.357947691000002+100/2.593742460100002
=385.543289+90.909091+82.644628+75.13148+68.301346+100/1.610510000000001+100/1.771561000000001+100/1.948717100000001+100/2.143588810000002+100/2.357947691000002+100/2.593742460100002
=385.543289+90.909091+82.644628+75.13148+68.301346+62.092132+100/1.771561000000001+100/1.948717100000001+100/2.143588810000002+100/2.357947691000002+100/2.593742460100002
=385.543289+90.909091+82.644628+75.13148+68.301346+62.092132+56.447393+100/1.948717100000001+100/2.143588810000002+100/2.357947691000002+100/2.593742460100002
=385.543289+90.909091+82.644628+75.13148+68.301346+62.092132+56.447393+51.315812+100/2.143588810000002+100/2.357947691000002+100/2.593742460100002
=385.543289+90.909091+82.644628+75.13148+68.301346+62.092132+56.447393+51.315812+46.650738+100/2.357947691000002+100/2.593742460100002
=385.543289+90.909091+82.644628+75.13148+68.301346+62.092132+56.447393+51.315812+46.650738+42.409762+100/2.593742460100002
=385.543289+90.909091+82.644628+75.13148+68.301346+62.092132+56.447393+51.315812+46.650738+42.409762+38.554329
=476.45238+82.644628+75.13148+68.301346+62.092132+56.447393+51.315812+46.650738+42.409762+38.554329
=559.097008+75.13148+68.301346+62.092132+56.447393+51.315812+46.650738+42.409762+38.554329
=634.228488+68.301346+62.092132+56.447393+51.315812+46.650738+42.409762+38.554329
=702.529834+62.092132+56.447393+51.315812+46.650738+42.409762+38.554329
=764.621966+56.447393+51.315812+46.650738+42.409762+38.554329
=821.069359+51.315812+46.650738+42.409762+38.554329
=872.385171+46.650738+42.409762+38.554329
=919.035909+42.409762+38.554329
=961.445671+38.554329
=1000
Answer:1000/1.1^10+100/1.1+100/1.1^2+100/1.1^3+100/1.1^4+100/1.1^5+100/1.1^6+100/1.1^7+100/1.1^8+100/1.1^9+100/1.1^10=1000