SSAT Upper Level Quantitative Flashcards: Missing Sequence Terms

What this deck covers

This deck focuses on Missing Sequence Terms, giving you a quick way to review the definitions, rules, and examples that matter most for SSAT Upper Level Quantitative.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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