bac-s-maths 2025 Q3

bac-s-maths · France · bac-spe-maths__polynesie-1 Sequences and series, recurrence and convergence True/false or conceptual reasoning about sequences

3. Let $(v_n)$ be the sequence defined for every natural number $n$ by:
$$v_n = \frac{n}{2 + \cos(n)}.$$
Statement 3: The sequence $(v_n)$ diverges to $+\infty$.
4. In space with respect to an orthonormal coordinate system $(O; \vec{\imath}, \vec{\jmath}, \vec{k})$, we consider points $A(1; 1; 2), B(5; -1; 8)$ and $C(2; 1; 3)$. Statement 4: $\overrightarrow{AB} \cdot \overrightarrow{AC} = 10$ and a measure of angle $\widehat{BAC}$ is $30°$.

Similarly:

3. Let $(v_n)$ be the sequence defined for every natural number $n$ by:

$$v_n = \frac{n}{2 + \cos(n)}.$$

Statement 3: The sequence $(v_n)$ diverges to $+\infty$.\\
4. In space with respect to an orthonormal coordinate system $(O; \vec{\imath}, \vec{\jmath}, \vec{k})$, we consider points $A(1; 1; 2), B(5; -1; 8)$ and $C(2; 1; 3)$.\\
Statement 4: $\overrightarrow{AB} \cdot \overrightarrow{AC} = 10$ and a measure of angle $\widehat{BAC}$ is $30°$.\\

Paper Questions

Q3 Q4 Q5