Question
The sequence \( 6,12,18,24,30 \) is an example of which of the following types of growth Linear Exponential Neither linear nor exponential
Ask by Fleming Daniel. in the United States
Feb 07,2025
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Answer
The sequence is an example of linear growth.
Solution
A linear sequence is one where the difference between consecutive terms is constant. In the sequence 6, 12, 18, 24, 30, the difference between each pair of successive terms is 6. This constant difference indicates that the sequence is an example of linear growth.
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Simplify this solution The Deep Dive
The sequence \( 6, 12, 18, 24, 30 \) is an example of linear growth because it increases by a constant amount (6) with each step. This predictable pattern is typical of linear sequences, where the difference between consecutive terms remains unchanged. In real-world scenarios, linear growth can be seen in everyday situations like saving money with a fixed monthly contribution. For instance, if you save $50 every month, your savings grow linearly—$50 in the first month, $100 in the second, and so on, making it easy to visualize and predict your savings over time!
