Missing Sequence Terms - SSAT Upper Level Quantitative

1. Identify the missing term in the sequence: $\frac{1}{2}, \frac{1}{4}, \frac{1}{8}, \_, \frac{1}{32}$.

   $\frac{1}{16}$. The geometric sequence has a common ratio of $\frac{1}{2}$, multiplied by $\frac{1}{8}$ to determine the missing term.

2. Identify the missing term in the arithmetic sequence: $-4, -1, 2, \_, 8$.

   $5$. The arithmetic sequence has a common difference of $3$, added to $2$ to determine the missing term.

3. Find the missing term in the sequence of triangular numbers: $1, 3, 6, 10, \_, 21$.

   $15$. Triangular numbers are sums of consecutive integers, with the missing being $10 + 5$.

4. Find the missing term in the arithmetic sequence: $7, 11, 15, \_, 23$.

   $19$. The arithmetic sequence has a common difference of $4$, added to $15$ to determine the missing term.

5. Identify the missing term in the sequence: $1, 2, 6, 24, \_, 720$.

   $120$. The sequence consists of factorials, with the missing term being $5!$.

6. Find the missing term in the sequence with alternating operations: $1, 3, 6, 8, 11, \_$.

   $13$. The sequence alternates adding $2$ and $3$, so add $2$ to $11$ for the missing term.

7. Find the missing term in the sequence with increasing differences: $1, 2, 4, 7, \_, 16$.

   $11$. The differences increase by $1$ each time, so add $4$ to $7$ to find the missing term.

8. What is the missing term in the sequence of squares: $1, 4, 9, \_, 25$?

   $16$. The sequence consists of perfect squares, with the missing term being $4^2$.

9. What is the missing term in the sequence: $4, 9, 19, 39, \_, 159$?

   $79$. Each term is the previous multiplied by $2$ and adding $1$, applied to $39$ for the missing term.

10. Find the missing term in the Fibonacci-type sequence: $1, 1, 2, 3, 5, \_, 13$.

    $8$. Each term is the sum of the two preceding ones, so add $3$ and $5$ for the missing term.

11. What is the missing term in the alternating sequence: $-1, 2, -3, 4, \_, 6$?

    $-5$. The sequence alternates signs on consecutive integers starting with negative for odd positions.

12. Find the missing term in the geometric sequence: $3, 6, 12, \_, 48$.

    $24$. The geometric sequence has a common ratio of $2$, multiplied by $12$ to determine the missing term.

13. Find the missing term in the sequence: $100, 50, 25, \_, 6.25$.

    $12.5$. The geometric sequence has a common ratio of $\frac{1}{2}$, multiplied by $25$ to determine the missing term.

14. Identify the missing term in the sequence: $8, 4, 12, 6, 18, \_$.

    $9$. The sequence alternates dividing by $2$ and multiplying by $3$, so divide $18$ by $2$ for the missing term.

15. What is the missing term in the Fibonacci-type sequence: $2, 3, 5, 8, \_, 21$?

    $13$. Each term is the sum of the two preceding ones, so add $5$ and $8$ for the missing term.

16. What is the missing term in the sequence: $\frac{3}{2}, \frac{3}{4}, \frac{3}{8}, \_, \frac{3}{32}$?

    $\frac{3}{16}$. The geometric sequence has a common ratio of $\frac{1}{2}$, multiplied by $\frac{3}{8}$ to determine the missing term.

17. Identify the missing term in the sequence of cubes: $1, 8, 27, \_, 125$.

    $64$. The sequence consists of perfect cubes, with the missing term being $4^3$.

18. What is the missing term in the sequence: $2, 3, 5, 9, 17, \_$?

    $33$. Each term is the previous multiplied by $2$ minus $1$, applied to $17$ for the missing term.

19. What is the missing term in the arithmetic sequence: $30, 24, 18, \_, 6$?

    $12$. The arithmetic sequence has a common difference of $-6$, added to $18$ to determine the missing term.

20. Identify the missing term in the sequence: $2, 5, 10, 17, \_, 37$.

    $26$. The differences increase by $2$ each time, so add $9$ to $17$ for the missing term.

21. Find the missing term in the sequence of powers of $2$: $2, 4, 8, \_, 32$.

    $16$. The sequence consists of powers of $2$, with the missing term being $2^4$.

22. Find the missing term in the sequence: $10, 7, 14, 11, 22, \_$.

    $19$. The sequence alternates subtracting $3$ and multiplying by $2$, so subtract $3$ from $22$ for the missing term.

23. Identify the missing term in the geometric sequence: $160, 80, 40, \_, 10$.

    $20$. The geometric sequence has a common ratio of $\frac{1}{2}$, multiplied by $40$ to determine the missing term.

Study these flashcards