Describe the graph of a geometric sequence. exponential, points connected linear, points connected exponential, points NOT connected linear, points NOT connected

Imagine the graph of a geometric sequence as a rocket zooming away from the Earth! You start with a point and then, with each following term, it shoots up at a rapid pace. This creates that familiar exponential curve, with smooth lines connecting each point, showcasing how quickly the values increase. It's like a thrilling ride, where every step takes you higher and higher! But be careful not to get too relaxed; when you visualize this as discrete points disconnected, it can feel like a starry night sky. Each point stands alone, representing the terms of the sequence. Though they might be further apart on the graph, they still tell a story of exponential growth, just without that charming curve connecting them!