A General Term from a Ratio Recurrence

Problem

A sequence $\{a_n\}$ satisfies

\frac{a_{n+1}+a_n-1}{a_{n+1}-a_n+1}=n\qquad(n\in\mathbb N^{*}),

and $a_2=6$ . Find the general term of $\{a_n\}$ .

Answer

Solution

Difficulty	7/10
Topics	Recursion, sequences, Telescoping

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