Minutes: 0, 1, 2, 3, 4

Question

Messages Sent: 0, 3, 9, 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?
A) (3,1)
B) (4,81)
C) (3,27)
D) (2,9)

Answer 1

In the given table, the minutes correspond to the index of geometric sequence terms and the messages sent corresponds to the actual values in the sequence.

To represent the third term in the geometric sequence, we look at the index of the terms. The third term is at index 2 (starting from 0), which corresponds to:

• Minutes: 3 (since we start counting from 0)
• Messages Sent: 27 (the value at index 3)

So, the point that represents the third term in the geometric sequence is (3, 27).

Thus, the correct answer is C) (3, 27).