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Let t_(100)=sum_(r=0)^(100)(1)/(("^(100)C_(r ))^(5)) and S_(100)=sum_(r=0)^(100)(r )/(("^(100)C_(r ))^(5)), then the value of (100t_(100))/(S_(100)) is |
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Answer» `1` ALSO `S_(100)=(100)/(('^(100)C_(0))^(5))+((100-1))/(('^(100)C_(1))^(5))+((100-2))/(('^(100)C_(2))^(5))+....+(0)/(('^(100)C_(100))^(5))`......`(2)` `:.` On adding `(1)` and `(2)`, we get `2S_(100)=100t_(100)` `implies(100t_(100))/(S_(100))=2` |
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