bac-s-maths 2025 Q2

bac-s-maths · France · bac-spe-maths__metropole-2 Proof by induction Prove a sequence bound or inequality by induction
2. We consider the sequence $\left( w _ { n } \right)$ defined by:
$$w _ { 0 } = 0 \text { and, for every natural number } n , w _ { n + 1 } = 3 w _ { n } - 2 n + 3 .$$
Statement 2: For every natural number $n , w _ { n } \geq n$.
The probability that the connection is stable and passes through server B is $P ( S \cap B )$.
2. We consider the sequence $\left( w _ { n } \right)$ defined by:

$$w _ { 0 } = 0 \text { and, for every natural number } n , w _ { n + 1 } = 3 w _ { n } - 2 n + 3 .$$

Statement 2: For every natural number $n , w _ { n } \geq n$.\\
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