数学
         
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数学计算:
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    总述:本次共解1题。其中
           ☆算术计算1题

〖1/1算式〗
    作业:求算式 65/1.05+65/1.05^2+65/1.05^3+65/1.05^4+65/1.05^5+65/1.05^6+65/1.05^7+65/1.05^8+1000/1.05^8 的值.
    题型:数学计算
    解:
          65/1.05+65/1.05^2+65/1.05^3+65/1.05^4+65/1.05^5+65/1.05^6+65/1.05^7+65/1.05^8+1000/1.05^8
        =65/1.05+65/1.1025+65/1.05^3+65/1.05^4+65/1.05^5+65/1.05^6+65/1.05^7+65/1.05^8+1000/1.05^8
        =65/1.05+65/1.1025+65/1.157625+65/1.05^4+65/1.05^5+65/1.05^6+65/1.05^7+65/1.05^8+1000/1.05^8
        =65/1.05+65/1.1025+65/1.157625+65/1.21550625+65/1.05^5+65/1.05^6+65/1.05^7+65/1.05^8+1000/1.05^8
        =65/1.05+65/1.1025+65/1.157625+65/1.21550625+65/1.2762815625+65/1.05^6+65/1.05^7+65/1.05^8+1000/1.05^8
        =65/1.05+65/1.1025+65/1.157625+65/1.21550625+65/1.2762815625+65/1.340095640625+65/1.05^7+65/1.05^8+1000/1.05^8
        =65/1.05+65/1.1025+65/1.157625+65/1.21550625+65/1.2762815625+65/1.340095640625+65/1.40710042265625+65/1.05^8+1000/1.05^8
        =65/1.05+65/1.1025+65/1.157625+65/1.21550625+65/1.2762815625+65/1.340095640625+65/1.40710042265625+65/1.477455443789063+1000/1.05^8
        =65/1.05+65/1.1025+65/1.157625+65/1.21550625+65/1.2762815625+65/1.340095640625+65/1.40710042265625+65/1.477455443789063+1000/1.477455443789063
        =61.904762+65/1.1025+65/1.157625+65/1.21550625+65/1.2762815625+65/1.340095640625+65/1.40710042265625+65/1.477455443789063+1000/1.477455443789063
        =61.904762+58.956916+65/1.157625+65/1.21550625+65/1.2762815625+65/1.340095640625+65/1.40710042265625+65/1.477455443789063+1000/1.477455443789063
        =61.904762+58.956916+56.149444+65/1.21550625+65/1.2762815625+65/1.340095640625+65/1.40710042265625+65/1.477455443789063+1000/1.477455443789063
        =61.904762+58.956916+56.149444+53.475661+65/1.2762815625+65/1.340095640625+65/1.40710042265625+65/1.477455443789063+1000/1.477455443789063
        =61.904762+58.956916+56.149444+53.475661+50.929201+65/1.340095640625+65/1.40710042265625+65/1.477455443789063+1000/1.477455443789063
        =61.904762+58.956916+56.149444+53.475661+50.929201+48.504001+65/1.40710042265625+65/1.477455443789063+1000/1.477455443789063
        =61.904762+58.956916+56.149444+53.475661+50.929201+48.504001+46.194286+65/1.477455443789063+1000/1.477455443789063
        =61.904762+58.956916+56.149444+53.475661+50.929201+48.504001+46.194286+43.994559+1000/1.477455443789063
        =61.904762+58.956916+56.149444+53.475661+50.929201+48.504001+46.194286+43.994559+676.839362
        =120.861678+56.149444+53.475661+50.929201+48.504001+46.194286+43.994559+676.839362
        =177.011122+53.475661+50.929201+48.504001+46.194286+43.994559+676.839362
        =230.486783+50.929201+48.504001+46.194286+43.994559+676.839362
        =281.415984+48.504001+46.194286+43.994559+676.839362
        =329.919985+46.194286+43.994559+676.839362
        =376.114271+43.994559+676.839362
        =420.10883+676.839362
        =1096.948192

    答案:65/1.05+65/1.05^2+65/1.05^3+65/1.05^4+65/1.05^5+65/1.05^6+65/1.05^7+65/1.05^8+1000/1.05^8=1096.948192


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