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

Question

(2, 9)
(4,81)
(3,1)
(3, 27)

Answer 1

To determine which point represents the third term in the geometric sequence based on the provided table, let's take a look at the values given for each entry:

• When minutes = 0, messages sent = 0
• When minutes = 1, messages sent = 3
• When minutes = 2, messages sent = 9
• When minutes = 3, messages sent = 27
• When minutes = 4, messages sent = 81

The second column shows the number of messages sent at different points in time. In a geometric sequence, each term after the first is found by multiplying the previous term by a constant factor.

1. The first term (when minutes = 0) is 0 messages sent.
2. The second term (when minutes = 1) is 3 messages sent.
3. The third term (when minutes = 2) is 9 messages sent.
4. The fourth term (when minutes = 3) is 27 messages sent.
5. The fifth term (when minutes = 4) is 81 messages sent.

From this, we see that the third term corresponds to when minutes = 2, which is (2, 9).

Therefore, the correct point to graph the third term in the geometric sequence is (2, 9).