Question Number 7005 by Tawakalitu. last updated on 05/Aug/16
$${Is}\:\:{u}_{{n}} \:{real}\:{sequence}\:{defende}\:\:{by}\:\: \\ $$$${u}_{\mathrm{0}} \:=\:\mathrm{3}{e}^{{t}} \:{u}_{{n}+\mathrm{1}} \:=\:\mathrm{2}\left({u}_{{n}} \right)^{\mathrm{2}} \:−\:\mathrm{1} \\ $$$${Determine}\:{the}\:{general}\:{term}\:{u}_{{n}} \:{of}\:{this}\:{series}\: \\ $$$$\left({justify}\:{your}\:{answer}\:{and}\:{method}\:{used}\right) \\ $$$$ \\ $$