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Is the sequence 5,9,15———-an arithmetic?

User Jimoc
by
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2 Answers

6 votes

Answer:

5, 9, 15,....is not an arithmetic sequence.

Explanation:

Arithmetic sequence is a sequence in which difference between the consecutive terms is constant.

Example: 0 , 5, 10, 15, 20 is an arithmetic sequence with common difference of 5 between the terms.

Consider the given sequence,

5, 9, 15,....

Here,
a_1=5\\\\a_2=9\\\\a_3=15

We first find the difference between the terms,


a_2-a_1=9-5=4


a_3-a_2=15-9=6

Since the difference is not constant .

So,it is not an arithmetic sequence.

User Mike Van
by
8.1k points
5 votes

Answer:

No, the given sequence is not arithmetic.

Explanation:

The given sequence is


5,9,15,....

The first term is 5.

A sequence is an arithmetic, if the difference between any two consecutive terms are same.

The difference between terms are


d_1=9-5=4


d_2=15-9=6


d_1\\eq d_2

Since the difference between consecutive terms are not same, therefore given sequence is not arithmetic.

User Betelgeuce
by
8.9k points

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