The common difference between successive terms in the given sequence is 6.
This sequence (2, 8, 14, 20, 26) is an arithmetic sequence because the difference between any two consecutive terms is constant. As stated in the reference, "This is an arithmetic sequence since there is a common difference between each term." We can observe this by subtracting any term from the term that follows it:
- 8 - 2 = 6
- 14 - 8 = 6
- 20 - 14 = 6
- 26 - 20 = 6
As the calculation shows, the common difference is consistently 6. This means that, to get to the next term, we add 6 to the current term. The reference also mentions this, stating "adding 6 to the previous term in the sequence gives the next term."
Therefore, the common difference in this arithmetic sequence is 6.
