Is the sequence arithmetic? If so, identify the common difference. 13, 20 ,17 ,34…

Solution:

The series 13, 20 ,17 ,34…

The difference between first and second term is 20 - 13 = 7

The difference between between third term and second term is 17 - 20 = -3

The difference between the third term is and fourth term is 34 - 17 = 17

Hence the sequence is not an arithmetic sequence.

The sequence can also not be expressed as the sum of two arithmetic series

Is the sequence arithmetic? If so, identify the common difference. 13, 20 ,17 ,34…

Summary:

The sequence is not arithmetic can not be expressed as the sum of two arithmetic series.