Is the following sequence arithmetic? if so, identify the common difference. 18, 13, 8, 3, . .

Yes the sequence  18,13,8,3.... is an arithmetic sequence and the common difference in sequence is -5.

Step-by-step explanation:

Arithmetic sequence is sequence of a pattern involves adding or subtracting a number to each term to get the next term.

Example: 2,4,6,8,10,12 we have added 2 each term to get the next term.

Consider the given sequence 18,13,8,3....

let then

We find the difference of each term,

Yes the given sequence is an arithmetic sequence as difference between each term is same -5.

Thus, the common difference in sequence 18,13,8,3.... is -5.

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