Lesson 6: Geometric Sequences — Practice Questions

1. 1. What is the 7th term of the geometric sequence 5, 10, 20, 40, ...?

2. 2. The 6th term of a geometric sequence is 160 and the common ratio is 2. What is the first term of the sequence?

   • A. 5
   • B. 8
   • C. 10
   • D. 80

3. 3. In the geometric sequence 4, 12, 36, ..., which term has a value of 324? The term number is ___.

4. 4. A geometric sequence has a first term of 2 and a common ratio of 4. The value of the 5th term is ___.

5. 5. In the geometric sequence 1, 5, 25, 125, ..., which term number corresponds to the value 625?

   • A. 4
   • B. 5
   • C. 6
   • D. 7

6. 6. To graph the geometric sequence $4, 12, 36, ...$, you plot points $(n, a_n)$. What is the y-coordinate of the point corresponding to the position $n=3$?

7. 7. Which ordered pair would be plotted on the graph representing the sequence $100, 50, 25, ...$?

   • A. $(1, 50)$
   • B. $(3, 25)$
   • C. $(2, 100)$
   • D. $(4, 5)$

8. 8. How would the graph of the geometric sequence $1, -4, 16, -64, ...$ be described?

   • A. The points show exponential growth.
   • B. The points show exponential decay.
   • C. The points alternate above and below the x-axis.
   • D. The points form a straight line.

9. 9. The graph of a geometric sequence consists of the points $(1, 128)$, $(2, 64)$, $(3, 32)$, and $(4, 16)$. Which pattern does this graph show?

   • A. Exponential growth
   • B. Exponential decay
   • C. Alternating values
   • D. A constant value

10. 10. For the graph of the sequence $2, 8, 32, ...$, what is the y-coordinate of the point where the x-coordinate is $4$?