49 calc Soit \( \left(u_{n}\right) \) la suite définie pour tout entier naturel \( n \) par \( u_{0}=2 \) et \( u_{n+1}=\frac{2}{3} u_{n}+3 \). 1. a. A l'aide de la calculatrice, calculer les 10 premiers termes de la suite. b. Conjecturer le sens de variation de \( \left(u_{n}\right) \) et une majoration de \( \left(u_{n}\right) \). 2. Montrer par récurrence que \( \left(u_{n}\right) \) est majorée par 9 . 3. Montrer que \( u_{n+1}-u_{n}=-\frac{1}{3} u_{n}+3 \), puis en déduire le sens de variation de la suite \( \left(u_{n}\right) \). 4. Justifier que la suite \( \left(u_{n}\right) \) converge.

3. What is the significance of a marathon being run in under two hours? A. It couldn't have happened without the aid of technology. B. It shows that more athletes need high-tech sho C. It led the World Athletics organization to ban shoes.

2. Pruebe que si \( p \) y \( p^{2}+8 \) son primos, entonces \( p^{3}+4 \) tambien es primo.

7. How can an e-business organization manage its relationships with existing suppliers? a. Through marketing. b. Through logistics management. c. Through supply chain management. d. By gaining customer trust and developing unique products.

2- Se um objeto peso. 48 N na lua, quanto ele pesa na terr onsidere: gravidade de lua: \( 1,6 \mathrm{~m} / \mathrm{s}^{2}, \mathrm{~g} \). da terra, \( 10 \mathrm{~m} / \mathrm{s}^{2} \)

A container is 2,2 metres high. A box that is 30 cm is put on top. What is the height of the two items?