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Question Number 188072 by Shrinava last updated on 25/Feb/23

If   x_1 =−1   and   x_(n+1) = (1 + (2/n))x_n + (4/n)  Find     x_(2023)  = ?

$$\mathrm{If}\:\:\:\mathrm{x}_{\mathrm{1}} =−\mathrm{1}\:\:\:\mathrm{and}\:\:\:\mathrm{x}_{\boldsymbol{\mathrm{n}}+\mathrm{1}} =\:\left(\mathrm{1}\:+\:\frac{\mathrm{2}}{\mathrm{n}}\right)\mathrm{x}_{\boldsymbol{\mathrm{n}}} +\:\frac{\mathrm{4}}{\mathrm{n}} \\ $$$$\mathrm{Find}\:\:\:\:\:\mathrm{x}_{\mathrm{2023}} \:=\:? \\ $$

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