Question

Is the sequence 5, 9, 15, an arithmetic sequence? Explain.

Answer 1

It is not an arithmetic sequence.

Explanation:

We are given the following sequence and we are to determine and explain if it is an arithmetic sequence.

For a sequence to be arithmetic, there is a constant difference between two consecutive terms which is known as the 'common difference'.

Here, the difference between the consecutive terms is not constant in the given sequence. Therefore, it is not an arithmetic sequence.

Answer 2

Not an Arithmetic Sequence

Explanation:

In an Arithmetic Sequence the difference between two consecutive terms of the sequence is always the same. This difference is known as common difference of the Arithmetic Sequence and is denoted by d

So, in order to check if any given sequence is Arithmetic Sequence or not, juts find the difference of the consecutive terms. If the difference is the same, the given sequence will be Arithmetic Sequence.

Difference of 1st and 2nd term of given sequence = 9 - 5 = 4

Difference of 2nd and 3rd term of given sequence = 15 - 9 = 6

Since these differences are not the same, the given Sequence is not an Arithmetic Sequence.