**Geometric Sequence Analysis****Objective:** Show that the given sequence is geometric. Then, find the common ratio and write out the first four terms.Given Sequence:\[\{ s_n \} = \{6^n\}\]**Instructions:**Show that the sequence is geometric by demonstrating that the ratio of successive terms is a nonzero constant.**Verification:**\[\frac{s_n}{s_{n-1}} = \frac{6^n}{6^{n-1}}\](Simplify the ratio and fill in the blanks with exact answers in simplified form. Use integers or fractions for any numbers in the expression.)**Prompts for Calculations:**1. What is the value of the common ratio? - [ ] (Type an integer or a simplified fraction.)2. What is the value of the first term? - [ ] (Type an integer or a simplified fraction.)3. What is the value of the second term? - [ ] (Type an integer or a simplified fraction.)4. What is the value of the third term? - [ ] (Type an integer or a simplified fraction.)5. What is the value of the fourth term? - [ ] (Type an integer or a simplified fraction.)

Name: **Geometric Sequence Analysis****Objective:** Show that the given seq
Uploaded: 2024-03-20T06:38:58.000Z
Channel: Bartleby
Description: **Geometric Sequence Analysis****Objective:** Show that the given sequence is geometric. Then, find the common ratio and write out the first four terms.Given Sequence:\[\{ s_n \} = \{6^n\}\]**Instructions:**Show that the sequence is geometric by dem