Problem

Extend the pattern that starts at \(100\) and grows by \(20\%~\text{each}~\text{step}\) for \(3\) more steps to support a long-term comparison.

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The next three values are 120, 140, and 160 because a 20% increase means add 20 each step, which shows the pattern increasing at a steady rate over time.

The next three values are 102, 104, and 106 because a 20% increase means add 2 each step, which shows the pattern growing slowly but steadily over time.

The next three values are 120, 144, and 172.8 because a 20% increase means multiply by 1.2 each step, which shows repeated percent growth over time.

The next three values are 120, 164, and 236.8 because you increase by 20% and then keep adding 20% more each time, which shows the pattern speeding up over time.

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Extend the pattern that starts at \(100\) and grows by \(20\%~\text{each}~\text{step}\) for \(3\) more steps to support a long-term comparison.

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