### Question 3Write an explicit formula for the geometric sequence:\[ 4, \frac{4}{3}, \frac{4}{9}, \frac{4}{27}, \ldots \]/(5 pts)---#### Explanation:In this question, you are asked to write an explicit formula for the given geometric sequence. A geometric sequence is a sequence in which each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.1. **First Term (\( a \))**: The first term of the sequence is \( 4 \).2. **Common Ratio (\( r \))**: To find the common ratio, divide the second term by the first term: \[ r = \frac{\frac{4}{3}}{4} = \frac{4}{3} \times \frac{1}{4} = \frac{1}{3} \]The general formula for the \( n \)-th term of a geometric sequence is given by:\[ a_n = a \cdot r^{n-1} \]Using the values of \( a \) and \( r \) we found,\[ a_n = 4 \cdot \left( \frac{1}{3} \right)^{n-1} \]So, the explicit formula for the given geometric sequence is:\[ a_n = 4 \cdot \left( \frac{1}{3} \right)^{n-1} \]This formula can be used to calculate any term in the sequence. **Question 4**What is the 11th term of the geometric sequence -1.5, -3, -6, -12, ...? (5 pts)

Name: ### Question 3Write an explicit formula for the geometric sequence:\[
Uploaded: 2024-03-20T06:38:58.000Z
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Description: ### Question 3Write an explicit formula for the geometric sequence:\[ 4, \frac{4}{3}, \frac{4}{9}, \frac{4}{27}, \ldots \]/(5 pts)---#### Explanation:In this question, you are asked to write an explicit formula for the given geometric sequence. A ge