The value of (1- \frac{1}{5})(1- \frac{1}{6})(1- \frac{1}{7}).... . .\cdot(1- \frac{1}{20})=

AP ICET 2015 Paper

Question : 108 of 200

Marks: +1, -0

The value of

(1-\;\;{1}/{5})(1-\;\;{1}/{6})(1-\;\;{1}/{7}).... . .⋅(1-\;\;{1}/{20})=

Solution:

(1-{1}/{5})(1-{1}/{6})(1-{1}/{7})...(1-{1}/{20})

=4/5×5/6×6/7×...×19/20

=4/20=1/5

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