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Using the principle of mathematical ind...

Using the principle of mathematical induction, prove that
` 1/(1*2)+1/(2*3)+1/(3*4)+…+1/(n(n+1)) = n/((n+1)) `.

Text Solution

Verified by Experts

P(n)=` 1/(1*2)+1/(2*3)+1/(3*4)+…+1/(n(n+1)) = n/((n+1)) `
For,
`n=1`
`L.H.S=1/(1.2)=1/2`
`R.H.S=1/(1+1)=1/2`
So,
...
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RD SHARMA-MATHEMATICAL INDUCTION-Solved Examples And Exercises
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