Respuesta :

Answer:

Yes, The given sequence is Arithmetic with common difference is 7.

Step-by-step explanation:

The given sequence is Arithmetic Sequence.

Generally, we study about two types of sequences which are:

Arithmetic Sequence is a sequence in which every two neighbor digits have equal distances.

Geometric Sequence is the sequence in which every digit is the same multiplier of its previous digit.

The given sequence is: 13, 20, 27, 34,...

Here, First term(a) = 13,  Second term(b) = 20

Common difference (d) = b - a = 20 - 13 = 7

Hence, Common difference is 7.

Answer: Hello there!

An arithmetic sequence is a sequence where the difference between two consecutive numbers is constant.

then, if we want to see if the sequence is arithmetic, we need to see the differences between the consecutive numbers:

20 - 13 = 7

27 - 20 = 7

34 - 27 = 7

now, we can see that the differences are equal, this means that the distance between two consecutive numbers in the sequence is always 7.

Then, this sequence is an arithmetic sequence, and the common difference is 7.