Determine if the sequence 7, 11, 15, 19, ... is arithmetic. If it is, find the common difference.
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An arithmetic progression is a sequence in which the difference between a pair of consecutive numbers is equal. Let's solve an interesting problem related to this concept.
Answer: Yes, the sequence 7, 11, 15, 19 is arithmetic, and its common difference is 4.
Let's see how we arrived at this solution.
Explanation:
Carefully, observe the sequence 7, 11, 15, 19, ...
We see that each pair has a common difference of 4
Common difference = 11 - 7 = 15 - 11 = 19 - 15 = 4
Hence, by definition, the sequence 7, 11, 15, 19, ... is arithmetic, and its common difference is 4.
