Is-u-n-real-sequence-defende-by-u-0-3e-t-u-n-1-2-u-n-2-1-Determine-the-general-term-u-n-of-this-series-justify-your-answer-and-method-used-

Tinku Tara June 3, 2023 Number Theory 0 Comments

Question Number 7005 by Tawakalitu. last updated on 05/Aug/16

Is u_n real sequence defende by u_0 = 3e^t u_(n+1) = 2(u_n )^2 − 1 Determine the general term u_n of this series (justify your answer and method used)

$${Is}\:\:{u}_{{n}} \:{real}\:{sequence}\:{defende}\:\:{by}\:\: \\ $$$${u}_{\mathrm{0}} \:=\:\mathrm{3}{e}^{{t}} \:{u}_{{n}+\mathrm{1}} \:=\:\mathrm{2}\left({u}_{{n}} \right)^{\mathrm{2}} \:−\:\mathrm{1} \\ $$$${Determine}\:{the}\:{general}\:{term}\:{u}_{{n}} \:{of}\:{this}\:{series}\: \\ $$$$\left({justify}\:{your}\:{answer}\:{and}\:{method}\:{used}\right) \\ $$$$ \\ $$

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Is-u-n-real-sequence-defende-by-u-0-3e-t-u-n-1-2-u-n-2-1-Determine-the-general-term-u-n-of-this-series-justify-your-answer-and-method-used-

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