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# Sequences

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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