27. Find the value of 1 1 1 + + + -...
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27. Find the value of 1 1 1 + + + - 2 + - 6 - 12 1 - 20

11th - 12th Class
Maths
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27. (2) ( frac{1}{2}+frac{1}{6}+frac{1}{12}+frac{1}{20}+frac{1}{30} ) ( =frac{1}{1 cdot 2}+frac{1}{2 cdot 3}+frac{1}{3 cdot 4}+frac{1}{4 cdot 5}+frac{1}{5 cdot 6} ) ( =left(1-frac{1}{2}right)+left(frac{1}{2}-frac{1}{3}right)+left(frac{1}{3}-frac{1}{4}right) ) ( =1-frac{1}{6}=frac{5}{6} ) ( +left(frac{1}{4}-frac{1}{5}right)+left(frac{1}{5}-frac{1}{6}right) )
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