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2) What is the common erence in the arithmetic sequence 3, 7, 11, 15, 19,​

Sagot :

Answer:

4 is the common sequence of arithmetic

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.