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If T_{n} = \frac{ n-1 }{ n }, prove T_{n+1} - T _{n-1} = \frac{ 2 }{ n^2 -1 }

n/n+1

Right, and \(T_{n-1}\)?

n-2/n-1

yeh i did that and got to the answer 2/(1-n) which is wrong

just a sec

yeh i got that step except i cant get the final answer

its ok i got the answer... i had a silly mistake

We all make those from time to time.