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Question Number 113897 by Lordose last updated on 16/Sep/20 Answered by mathmax by abdo last updated on 17/Sep/20 $$\mathrm{let}\:\mathrm{u}_{\mathrm{n}} =\frac{\mathrm{3}^{\mathrm{n}} }{\:\sqrt{\left(\mathrm{3n}−\mathrm{2}\right)\mathrm{2}^{\mathrm{n}} }}\:\Rightarrow\mathrm{u}_{\mathrm{n}} =\frac{\left(\frac{\mathrm{3}}{\:\sqrt{\mathrm{2}}}\right)^{\mathrm{n}} }{\:\sqrt{\mathrm{3n}−\mathrm{2}}}\:\:\left(\mathrm{n}\geqslant\mathrm{1}\right)\:\Rightarrow \…
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