Number 14 , 16, and 20 **Geometric Sequences: Exercises and Solutions**### Writing the Terms of a Geometric Sequence**Instructions:** In Exercises 13–22, write the first five terms of the geometric sequence.1. **Exercise 13:** \( a_1 = 4, \, r = 3 \)2. **Exercise 14:** \( a_1 = 8, \, r = 2 \)3. **Exercise 15:** \( a_1 = 1, \, r = \frac{1}{2} \)4. **Exercise 16:** \( a_1 = 6, \, r = -\frac{1}{4} \)5. **Exercise 17:** \( a_1 = 1, \, r = e \)6. **Exercise 18:** \( a_1 = 2, \, r = \pi \)7. **Exercise 19:** \( a_1 = 3, \, r = \sqrt{5} \)8. **Exercise 20:** \( a_1 = 4, \, r = \frac{1}{\sqrt{2}} \)9. **Exercise 21:** \( a_1 = 2, \, r = \frac{x}{4} \)10. **Exercise 22:** \( a_1 = 5, \, r = 2x \)---### Writing the \( n \)-th Term of a Geometric Sequence**Instructions:** In Exercises 23–28, write the first five terms of the geometric sequence. Determine the common ratio and write the \( n \)-th term of the sequence as a function of \( n \).1. **Exercise 23:** \( a_1 = 64, \, a_{k+1} = \frac{1}{2} a_k \)2. **Exercise 24:** \( a_1 = 81, \, a_{k+1} = \frac{1}{3} a_k \)3. **Exercise 25:** \( a_1 = 9, \, a_{k+1} = 2a_k \)4. **Exercise 26:** \( a_1 = 5, \, a_{k+1} = -2a_k \)5. **Exercise 27:** \( a_1 = 6

Name: Number 14 , 16, and 20 **Geometric Sequences: Exercises and Solutions*
Uploaded: 2024-03-05T11:52:21.000Z
Channel: Bartleby
Description: Number 14 , 16, and 20 **Geometric Sequences: Exercises and Solutions**### Writing the Terms of a Geometric Sequence**Instructions:** In Exercises 13–22, write the first five terms of the geometric sequence.1. **Exercise 13:** \( a_1 = 4, \, r = 3 \)