Use the table to answer the questions:

Question

Minutes | Messages Sent
0 | 0
1 | 3
2 | 9
3 | 27
4 | 81
The table shows how a text message went viral. What point should be graphed to represent the third term in the geometric sequence?

Answer 1

To determine the point that should be graphed to represent the third term in the geometric sequence from the table, we'll first review the values given.

In the table:

• At 0 minutes, there are 0 messages sent.
• At 1 minute, there are 3 messages sent.
• At 2 minutes, there are 9 messages sent.
• At 3 minutes, there are 27 messages sent.
• At 4 minutes, there are 81 messages sent.

The third term in the sequence refers to the value at the time of the third minute, which is 2 minutes in the context of the sequence (0 minutes is the first term, 1 minute is the second term, and 2 minutes is the third term).

From the table:

• At 2 minutes (third term), the messages sent is 9.

Thus, the point that should be graphed to represent the third term in the geometric sequence is (2, 9).