Number System Practice Test 4

Question : 40 of 40

Marks: +1, -0

(1-1/3)(1-1/4)(1-1/5)...(1-1/n)=?

Solution:

=(1-1/3)(1-1/4)(1-1/5).......(1-1/n)

=(3-1)/3 × (4-1)/4× (5-1)/5....... (n-1)/n

=2/3×3/4×4/5×..........(n-2)/(n-1)×(n-1)/n

2/n

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