The sequence given is 2, 8, 14, 20, 26. To find the common difference between successive terms, we need to subtract each term from the one that follows it.
Let’s calculate the differences:
- 8 – 2 = 6
- 14 – 8 = 6
- 20 – 14 = 6
- 26 – 20 = 6
From our calculations, we can see that the common difference is consistently 6 for each pair of successive terms. This means that if we take any two successive terms in this sequence, the difference will always be 6.
In summary, the common difference between successive terms in the sequence 2, 8, 14, 20, 26 is 6.