The table shows how a text message went viral. What point should be graphed to represent the third term in the geometric sequence?
Use the table to answer the question. Minutes
Messages Sent 0 0 1 3 2 9 3 27 4 81
To find the third term in the geometric sequence, we need to look at the pattern of the Minutes column and the Messages Sent column.
From the table, we can see that the number of messages sent is increasing exponentially. To determine the common ratio, we divide the number of messages sent at each successive minute by the number of messages sent at the previous minute:
3/0 = 9/3 = 27/9 = 81/27 = 3
We can see that the common ratio is 3.
To find the third term, we need to multiply the second term (3) by the common ratio (3):
3 * 3 = 9
Therefore, the third term in the geometric sequence should be 9.