An expanding movie theater is able to sell 5 times as many movie tickets each year as it did the year before. If you list the number of tickets sold over time, what kind of sequence will you see? arithmetic geometric both neither

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Question

An expanding movie theater is able to sell 5 times as many movie tickets each year as it did the year before. If you list the number of tickets sold over time, what kind of sequence will you see? arithmetic geometric both neither

Answer 1

The sequence is geometric because each term is 5 times the previous term.

Answer 2

## Step 1: Identify the pattern in the sequence of the number of tickets sold each year. ## Step 2: Determine if there is a constant difference between consecutive terms, which would indicate an arithmetic sequence. ## Step 3: Determine if there is a constant ratio between consecutive terms, which would indicate a geometric sequence. ## Step 4: Apply the given information that each year the theater sells 5 times as many tickets as the previous year to identify the type of sequence. ### **The key property of a geometric sequence is that each term is a constant multiple of the previous term.**

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An expanding movie theater is able to sell 5 times as many movie tickets each year as it did the year before. If you list the number of tickets sold over time, what kind of sequence will you see? arithmetic geometric both neither

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