https://file.aiquickdraw.com/mathbot/file/1726733119521b6scp8hs.jpg

Here is the graph of the first five terms of the geometric sequence. As expected, the values decrease exponentially, reflecting the growth factor of 0.6.

The terms are: \(500\), \(300\), \(180\), \(108\), and \(64.8\), as shown on the graph.

Would you like further details or have any questions? 

Here are 5 related questions for practice:
1. What will be the 6th term of this sequence?
2. How would the graph change if the growth factor was greater than 1?
3. What is the sum of the first 5 terms of this geometric sequence?
4. How can you calculate the 10th term without computing each previous term?
5. What is the general formula for the sum of an infinite geometric series?

**Tip:** In a geometric sequence, if the growth factor is less than 1, the terms will gradually approach 0.

A geometric sequence g starts at 500 and has a growth factor of 0.6. Sketch a graph of g showing the first 5 terms.

Explore a geometric sequence that starts at 500 with a growth factor of 0.6. This problem involves graphing the first five terms of the sequence, using the formula for geometric sequences. Suitable for students in Grades 8-10.

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