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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+1.05^2+1.05^3+1.05^4+1.05^5+1.05^6+1.05^7+1.05^8+1.05^9 .
Question type: Mathematical calculation
Solution:
1+1.05^2+1.05^3+1.05^4+1.05^5+1.05^6+1.05^7+1.05^8+1.05^9
=1+1.1025+1.05^3+1.05^4+1.05^5+1.05^6+1.05^7+1.05^8+1.05^9
=1+1.1025+1.157625+1.05^4+1.05^5+1.05^6+1.05^7+1.05^8+1.05^9
=1+1.1025+1.157625+1.21550625+1.05^5+1.05^6+1.05^7+1.05^8+1.05^9
=1+1.1025+1.157625+1.21550625+1.2762815625+1.05^6+1.05^7+1.05^8+1.05^9
=1+1.1025+1.157625+1.21550625+1.2762815625+1.340095640625+1.05^7+1.05^8+1.05^9
=1+1.1025+1.157625+1.21550625+1.2762815625+1.340095640625+1.40710042265625+1.05^8+1.05^9
=1+1.1025+1.157625+1.21550625+1.2762815625+1.340095640625+1.40710042265625+1.477455443789063+1.05^9
=1+1.1025+1.157625+1.21550625+1.2762815625+1.340095640625+1.40710042265625+1.477455443789063+1.551328215978516
=2.1025+1.157625+1.21550625+1.2762815625+1.340095640625+1.40710042265625+1.477455443789063+1.551328215978516
=3.260125+1.21550625+1.2762815625+1.340095640625+1.40710042265625+1.477455443789063+1.551328215978516
=4.475631+1.2762815625+1.340095640625+1.40710042265625+1.477455443789063+1.551328215978516
=5.751913+1.340095640625+1.40710042265625+1.477455443789063+1.551328215978516
=7.092009+1.40710042265625+1.477455443789063+1.551328215978516
=8.499109+1.477455443789063+1.551328215978516
=9.976564+1.551328215978516
=11.527892
Answer:1+1.05^2+1.05^3+1.05^4+1.05^5+1.05^6+1.05^7+1.05^8+1.05^9=11.527892