minutes, messages sent

Question

0, 0
1, 3
2, 9
3, 27
4, 81
Which of the following correctly graphs the geometric sequence?
2,9
3,27
3,1
4,81

Answer 1

To determine which points correctly graph the geometric sequence provided, let's analyze the data given:

1. The sequence represents the number of messages sent at different time intervals (in minutes).
2. The pattern shows that the number of messages sent triples every minute.

Let's summarize the given data:

• At 0 minutes: 0 messages
• At 1 minute: 3 messages
• At 2 minutes: 9 messages
• At 3 minutes: 27 messages
• At 4 minutes: 81 messages

Now, looking at the options you provided:

• (2, 9) corresponds to 2 minutes and 9 messages, which is correct.
• (3, 27) corresponds to 3 minutes and 27 messages, which is also correct.
• (3, 1) corresponds to 3 minutes and 1 message, which is incorrect.
• (4, 81) corresponds to 4 minutes and 81 messages, which is correct.

Based on this analysis, the correct points from your options that correctly graph the geometric sequence are:

• (2, 9)
• (3, 27)
• (4, 81)

So, any of those three points, specifically (2,9), (3,27), and (4,81), represent the geometric sequence accurately.