Question

Which of the following sequences is an arithmetic sequence?3. 7. 11. 15, 19and why?
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Answer 1

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

In 3,7,11,15,19  the difference b/w each number is a constant one

7-3=11-7=15-11=19-5=4

So it is an arithmetic sequence with a = 3 and d=4

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Answer 2

Answer:

The answer is Yes, it is an arithmetic sequence.

Step-by-step explanation:

The reason for this is because, the common difference d is same for all i.e 4

1) a2-a1 = 7 - 3 = 4

2) a3-a2 = 11 - 7 = 4

3) a4-a3 = 15 - 11 = 4

and so on.

As the common difference d is same.

Hence it is an Arithmetic sequence

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