Sequences and recurrence relations Quiz

1. $u_n=3n-2$. Find $u_{10}$.

• A. $28$
• B. $30$
• C. $32$
• D. $26$

2. $u_1=4$, $u_{n+1}=u_n-3$. The sequence is

• A. increasing
• B. decreasing
• C. periodic with order 2
• D. periodic with order 3

3. $u_1=1$, $u_{n+1}=-u_n$. Find $u_{51}$.

• A. $-1$
• B. $51$
• C. $0$
• D. $1$

4. $u_{n+1}=2u_n+1$ and $u_3=15$. Find $u_2$.

• A. $7$
• B. $14$
• C. $8$
• D. $29$

5. A periodic sequence has order $5$ and $u_1=3$. Which term must equal $3$?

• A. $u_{12}$
• B. $u_{14}$
• C. $u_{16}$
• D. $u_{18}$