Sequences Quiz

1. What is the nth term of the sequence $4, 7, 10, 13, \ldots$?

• A. $T_n = 3n + 1$
• B. $T_n = 4n$
• C. $T_n = 3n - 1$
• D. $T_n = 3n + 4$

2. Which feature identifies a quadratic sequence?

• A. Constant first differences
• B. Constant ratio between terms
• C. Constant second differences
• D. Constant third differences

3. The sequence $1, 4, 9, 16, 25, \ldots$ has second difference 2. What is its nth term?

• A. $T_n = n^2$
• B. $T_n = 2n^2$
• C. $T_n = n^2 + n$
• D. $T_n = 2n$

4. A sequence has third differences of 12. What is the coefficient of $n^3$ in its nth term?

• A. 12
• B. 6
• C. 4
• D. 2

5. A sequence is $3, 6, 12, 24, 48, \ldots$. Which statement correctly describes it and gives $T_5$?

• A. Linear sequence, $T_5 = 15$
• B. Exponential sequence, $T_5 = 48$
• C. Quadratic sequence, $T_5 = 48$
• D. Exponential sequence, $T_5 = 96$