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There is a sequence of positive numbers \(a_1,a_2,a_3,\dots,a_m\) such that \(a_1=19,a_2=98,\) and \(a_m=0\) and

 

\(a_{n+2}=a_n-\frac{2}{a_n+1},\) for \(n=1,2,\dots,m-2\).

 

Find the value of \(m\).

 Aug 2, 2022
 #1
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m = 498.

 Oct 11, 2022

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