Paul is reviewing his cell phone bill. When he gets to the text message part, he notices that he sent 79 text messages in June, 66 text messages in July, 53 text messages in August, and 40 text messages in September. What kind of sequence is this?
Question
Paul is reviewing his cell phone bill. When he gets to the text message part, he notices that he sent 79 text messages in June, 66 text messages in July, 53 text messages in August, and 40 text messages in September. What kind of sequence is this?
Solution
This is a decreasing arithmetic sequence. In an arithmetic sequence, the difference between any two consecutive terms is constant. In this case, Paul is sending 13 fewer text messages each month (79 - 66 = 13, 66 - 53 = 13, 53 - 40 = 13).
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