The sequence in the image provided is: 4, 11, 18, ...

To determine whether this sequence is arithmetic or geometric, let's analyze the differences between consecutive terms.

Step 1: Check if it is arithmetic (common difference):

• The difference between the second term (11) and the first term (4) is: $11 - 4 = 7$
• The difference between the third term (18) and the second term (11) is: $18 - 11 = 7$ Since the differences between consecutive terms are the same, this sequence is an arithmetic sequence with a common difference of 7.

Conclusion:

• The sequence is arithmetic.
• The common difference is $7$.

Would you like further details or have any questions?

Here are 5 related questions you might find useful:

1. How do you determine if a sequence is geometric instead of arithmetic?
2. What is the formula for the nth term of an arithmetic sequence?
3. How can you determine the sum of the first n terms in an arithmetic sequence?
4. What is a geometric progression, and how is it different from an arithmetic progression?
5. Can sequences have both arithmetic and geometric properties in different contexts?

Tip: Always check the first few terms of a sequence to see if there's a consistent pattern (like addition or multiplication) to determine its type.