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Use the table to answer the 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?

(1 point)
Responses

(3,1)
left parenthesis 3 comma 1 right parenthesis

(3,27)
left parenthesis 3 comma 27 right parenthesis

(2,9)
left parenthesis 2 comma 9 right parenthesis

(4,81)
left parenthesis 4 comma 81 right parenthesis
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1 answer

To find the point that represents the third term in the geometric sequence, we look at the minutes and the corresponding number of messages sent at that time.

From the table:

  • When \( \text{Minutes} = 0 \), \(\text{Messages Sent} = 0\)
  • When \( \text{Minutes} = 1 \), \(\text{Messages Sent} = 3\)
  • When \( \text{Minutes} = 2 \), \(\text{Messages Sent} = 9\)
  • When \( \text{Minutes} = 3 \), \(\text{Messages Sent} = 27\)
  • When \( \text{Minutes} = 4 \), \(\text{Messages Sent} = 81\)

The third term corresponds to \( \text{Minutes} = 3\) where the number of messages sent is \(27\).

Therefore, the point that should be graphed to represent the third term is:

(3, 27)

So the correct response is:

(3, 27)