what is the value of (1-1/3)(1-1/4)...(1-1/n) equal to
Answers
Answered by
56
The total value of the q. is 2/n
In this method
(1-1/3)=2/3
1-3/4=3/4
...................
1-1/(n-1)=(n-2)/(n-1)
1-1/n= (n-1)/n
By multiplying all
we get 2/n
In this method
(1-1/3)=2/3
1-3/4=3/4
...................
1-1/(n-1)=(n-2)/(n-1)
1-1/n= (n-1)/n
By multiplying all
we get 2/n
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129Raj:
if you learn from my answer
please select as brainlist
i cudnt understand
What problem
didn't get ur method
Answered by
3
Given ; (1-1/3)(1-1/4)...(1-1/n)
To Find; what is the value of (1-1/3)(1-1/4)...(1-1/n)
Solution ; (1-1/3)(1-1/4)...(1-1/n)
2/3*3/4*4/5*.…....*n-1/n
After observing the above equation we cone to know that each integer is getting cut by the next integer so only the first and the last element will be left
2/n
Hence the value is 1/n
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